TOPSIS——AISM联合求解过程

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原始数据如下


$$ \begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &X1 &-X2 &X3 &X4 &-X5 &-X6 &X7 &-X8 &-X9 &X10 &-X11 &-X12 &X13 &X14 &X15 &X16 &X17\\ \hline 合肥市 &78.33 &377 &262.8130871 &187195.5463 &1.434479554 &716 &76.33 &43.84288954 &8.27 &115623 &32.8 &25.7 &60.6 &4.178814383 &6149 &43.08 &97.36\\ \hline 淮北市 &16.67 &185.9 &211.450237 &175695.4612 &0.879166667 &822 &65.88 &41.40900474 &7.22 &47654 &39.2 &31 &50.5 &4.265402844 &2180 &45.38 &98.84\\ \hline 毫州市 &47.46 &202.4 &279.1789671 &174279.2739 &0.724982982 &628 &42.22 &33.25821596 &7.9 &33313 &60.9 &48 &50.8 &3.755868545 &6100 &37.32 &97.96\\ \hline 宿州市 &58.47 &178.4 &312.7701082 &182180.4434 &0.570386988 &582 &43.96 &38.24110128 &6.61 &34773 &51.4 &46.7 &49.6 &2.949852507 &5222 &38.57 &95.14\\ \hline 蚌埠市 &36.97 &417.1 &311.8723823 &179972.9364 &1.337406015 &573 &58.58 &41.62206606 &6.74 &60469 &69.2 &31.1 &47.5 &3.162333099 &1519 &42.73 &98\\ \hline 阜阳市 &54.39 &210.7 &207.0672414 &174936.0614 &1.01754386 &816 &44.62 &33.42137931 &8.67 &32855 &64.3 &37.9 &48.8 &3.908045977 &3566 &40.58 &96.31\\ \hline 淮南市 &31.36 &596 &222.3538462 &137345.1327 &2.680412371 &631 &65.04 &43.26730769 &4.42 &37140 &160.5 &149.2 &49.3 &2.932692308 &998 &44.64 &98\\ \hline 滁州市 &81.53 &526.2 &414.3041247 &128228.0937 &1.27008149 &310 &54.54 &42.44326306 &5.7 &70429 &75 &25.1 &42.3 &3.895508708 &6576 &45.91 &97.23\\ \hline 六安市 &136.63 &474.4 &1081.763322 &341185.607 &0.438543247 &315 &47.09 &38.57577855 &6.05 &33370 &142.7 &52.6 &50.5 &1.470588235 &2561 &42.59 &98.46\\ \hline 马鞍山市 &30.23 &1217.9 &443.1037913 &258782.7808 &2.748565966 &583 &69.12 &54.22302609 &5.4 &89867 &136.2 &213.5 &46.6 &1.460869565 &1085 &45.28 &97.6\\ \hline 芜湖市 &58.35 &798.1 &640.0682587 &403875.0626 &1.246898263 &627 &66.41 &45.53008292 &5.51 &96154 &83.3 &121.1 &47.4 &1.558872305 &2522 &43.06 &97.05\\ \hline 宣城市 &188.9 &529.9 &3643.156454 &785575.3647 &0.145450794 &216 &56.33 &50.73510638 &3.11 &58819 &90.3 &36.1 &43.1 &3.262411348 &1389 &41.68 &96.04\\ \hline 铜陵市 &32.04 &765.1 &849.163535 &463430.8511 &0.901004304 &546 &57.16 &43.25007962 &3.15 &58726 &130.8 &202.2 &48.2 &2.707006369 &384 &45.15 &94.81\\ \hline 池州市 &116.37 &687.8 &3600.676787 &646155.706 &0.191019645 &180 &54.92 &40.41919687 &3.3 &56217 &122.8 &143.3 &45.7 &4.015670911 &1880 &44.86 &96.59\\ \hline 安庆市 &157 &513.6 &1474.112448 &514710.2306 &0.34841304 &348 &49.98 &40.64765045 &6.24 &50574 &101.9 &88.2 &46 &1.813685078 &8227 &40.44 &96.45\\ \hline 黄山市 &180.54 &310.5 &7535.785714 &1091363.312 &0.041203401 &145 &52.49 &43.65306122 &4.74 &57853 &53.9 &27.4 &57.8 &2.267573696 &906 &47.91 &95.28\\ \hline \end{array} $$
观察点为原始矩阵指标的属性必须处理成正向指标或者负向指标

采用的归一方法如下


极差法

正向指标公式:$$ n_{ij} = \frac{{o_{ij}-min(o_{j})}}{{max(o_{j})-min(o_{j})}} $$

负向指标公式:$$ n_{ij} = \frac{max(o_{j})-{o_{ij}}}{{max(o_{j})-min(o_{j})}} $$


计算后的归一化矩阵如下


$$ \begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &X1 &-X2 &X3 &X4 &-X5 &-X6 &X7 &-X8 &-X9 &X10 &-X11 &-X12 &X13 &X14 &X15 &X16 &X17\\ \hline 合肥市 &0.358 &0.809 &0.008 &0.061 &0.485 &0.157 &1 &0.495 &0.072 &1 &1 &0.997 &1 &0.969 &0.735 &0.544 &0.633\\ \hline 淮北市 &0 &0.993 &0.001 &0.049 &0.69 &0 &0.694 &0.611 &0.261 &0.179 &0.95 &0.969 &0.448 &1 &0.229 &0.761 &1\\ \hline 毫州市 &0.179 &0.977 &0.01 &0.048 &0.747 &0.287 &0 &1 &0.138 &0.006 &0.78 &0.878 &0.464 &0.818 &0.729 &0 &0.782\\ \hline 宿州市 &0.243 &1 &0.014 &0.056 &0.805 &0.355 &0.051 &0.762 &0.371 &0.023 &0.854 &0.885 &0.399 &0.531 &0.617 &0.118 &0.082\\ \hline 蚌埠市 &0.118 &0.77 &0.014 &0.054 &0.521 &0.368 &0.48 &0.601 &0.347 &0.334 &0.715 &0.968 &0.284 &0.607 &0.145 &0.511 &0.792\\ \hline 阜阳市 &0.219 &0.969 &0 &0.048 &0.639 &0.009 &0.07 &0.992 &0 &0 &0.753 &0.932 &0.355 &0.873 &0.406 &0.308 &0.372\\ \hline 淮南市 &0.085 &0.598 &0.002 &0.009 &0.025 &0.282 &0.669 &0.523 &0.764 &0.052 &0 &0.341 &0.383 &0.525 &0.078 &0.691 &0.792\\ \hline 滁州市 &0.377 &0.665 &0.028 &0 &0.546 &0.756 &0.361 &0.562 &0.534 &0.454 &0.67 &1 &0 &0.868 &0.789 &0.811 &0.6\\ \hline 六安市 &0.697 &0.715 &0.119 &0.221 &0.853 &0.749 &0.143 &0.746 &0.471 &0.006 &0.139 &0.854 &0.448 &0.003 &0.278 &0.498 &0.906\\ \hline 马鞍山市 &0.079 &0 &0.032 &0.136 &0 &0.353 &0.789 &0 &0.588 &0.689 &0.19 &0 &0.235 &0 &0.089 &0.752 &0.692\\ \hline 芜湖市 &0.242 &0.404 &0.059 &0.286 &0.555 &0.288 &0.709 &0.415 &0.568 &0.765 &0.605 &0.49 &0.279 &0.035 &0.273 &0.542 &0.556\\ \hline 宣城市 &1 &0.662 &0.469 &0.683 &0.961 &0.895 &0.414 &0.166 &1 &0.314 &0.55 &0.942 &0.044 &0.642 &0.128 &0.412 &0.305\\ \hline 铜陵市 &0.089 &0.436 &0.088 &0.348 &0.682 &0.408 &0.438 &0.523 &0.993 &0.313 &0.233 &0.06 &0.322 &0.444 &0 &0.739 &0\\ \hline 池州市 &0.579 &0.51 &0.463 &0.538 &0.945 &0.948 &0.372 &0.658 &0.966 &0.282 &0.295 &0.373 &0.186 &0.911 &0.191 &0.712 &0.442\\ \hline 安庆市 &0.815 &0.678 &0.173 &0.401 &0.887 &0.7 &0.227 &0.648 &0.437 &0.214 &0.459 &0.665 &0.202 &0.126 &1 &0.295 &0.407\\ \hline 黄山市 &0.951 &0.873 &1 &1 &1 &1 &0.301 &0.504 &0.707 &0.302 &0.835 &0.988 &0.847 &0.288 &0.067 &1 &0.117\\ \hline \end{array} $$
正极值点构成
$$ \begin{array}{c|c|c|c|c|c|c}{M_{1 \times17}} &X1 &-X2 &X3 &X4 &-X5 &-X6 &X7 &-X8 &-X9 &X10 &-X11 &-X12 &X13 &X14 &X15 &X16 &X17\\ \hline \mathbf{Max} &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1 &1\\ \hline \end{array} $$
负极值点构成
$$ \begin{array}{c|c|c|c|c|c|c}{M_{1 \times17}} &X1 &-X2 &X3 &X4 &-X5 &-X6 &X7 &-X8 &-X9 &X10 &-X11 &-X12 &X13 &X14 &X15 &X16 &X17\\ \hline \mathbf{Min} &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline \end{array} $$
观察点为规范化矩阵中指标的属性

带权重的距离公式中权重的计算方法——此处处理的为客观权重方法所得权重


采用的是熵权法(EWM)求权重

$$ \begin{array}{c|c|c|c|c|c|c}{M_{2 \times17}} &X1 &-X2 &X3 &X4 &-X5 &-X6 &X7 &-X8 &-X9 &X10 &-X11 &-X12 &X13 &X14 &X15 &X16 &X17\\ \hline EWM所得权重 &0.0706 &0.0197 &0.2019 &0.1129 &0.0294 &0.0513 &0.0512 &0.0242 &0.042 &0.0892 &0.0357 &0.0317 &0.046 &0.0553 &0.0711 &0.0294 &0.0382\\ \hline 权重大小顺序 &5 &17 &1 &2 &14 &7 &8 &16 &10 &3 &12 &13 &9 &6 &4 &15 &11\\ \hline \end{array} $$

距离公式的选择


欧几里得距离、欧式距离公式

$$d=\sqrt{\sum_{i=1}^N|P_i-Q_i|^2}$$


计算代入权值后得到分维矩阵$K^+, K^- $


$$K^+ =\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &-X1 &-X2 &-X3 &-X4 &-X5 &-X6 &-X7 &-X8 &-X9 &-X10 &-X11 &-X12 &-X13 &-X14 &-X15 &-X16 &-X17\\ \hline 合肥市 &0.0453 &0.0038 &0.2004 &0.106 &0.0151 &0.0433 &0 &0.0122 &0.039 &0 &0 &0.0001 &0 &0.0017 &0.0188 &0.0134 &0.014\\ \hline 淮北市 &0.0706 &0.0001 &0.2018 &0.1073 &0.0091 &0.0513 &0.0157 &0.0094 &0.031 &0.0733 &0.0018 &0.001 &0.0254 &0 &0.0548 &0.007 &0\\ \hline 毫州市 &0.058 &0.0005 &0.1999 &0.1075 &0.0074 &0.0366 &0.0512 &0 &0.0362 &0.0887 &0.0079 &0.0038 &0.0246 &0.01 &0.0193 &0.0294 &0.0083\\ \hline 宿州市 &0.0535 &0 &0.199 &0.1066 &0.0057 &0.0331 &0.0486 &0.0058 &0.0264 &0.0872 &0.0052 &0.0036 &0.0277 &0.0259 &0.0272 &0.0259 &0.0351\\ \hline 蚌埠市 &0.0623 &0.0045 &0.199 &0.1068 &0.0141 &0.0325 &0.0267 &0.0097 &0.0274 &0.0595 &0.0102 &0.001 &0.0329 &0.0217 &0.0608 &0.0144 &0.008\\ \hline 阜阳市 &0.0552 &0.0006 &0.2019 &0.1074 &0.0106 &0.0509 &0.0476 &0.0002 &0.042 &0.0892 &0.0088 &0.0022 &0.0297 &0.007 &0.0422 &0.0203 &0.024\\ \hline 淮南市 &0.0646 &0.0079 &0.2015 &0.1118 &0.0287 &0.0369 &0.017 &0.0116 &0.0099 &0.0846 &0.0357 &0.0209 &0.0284 &0.0263 &0.0655 &0.0091 &0.008\\ \hline 滁州市 &0.044 &0.0066 &0.1962 &0.1129 &0.0133 &0.0125 &0.0327 &0.0106 &0.0196 &0.0487 &0.0118 &0 &0.046 &0.0073 &0.015 &0.0056 &0.0153\\ \hline 六安市 &0.0214 &0.0056 &0.1778 &0.0879 &0.0043 &0.0129 &0.0439 &0.0062 &0.0222 &0.0887 &0.0307 &0.0046 &0.0254 &0.0551 &0.0513 &0.0148 &0.0036\\ \hline 马鞍山市 &0.0651 &0.0197 &0.1954 &0.0976 &0.0294 &0.0332 &0.0108 &0.0242 &0.0173 &0.0278 &0.0289 &0.0317 &0.0352 &0.0553 &0.0647 &0.0073 &0.0118\\ \hline 芜湖市 &0.0535 &0.0118 &0.19 &0.0806 &0.0131 &0.0365 &0.0149 &0.0142 &0.0181 &0.021 &0.0141 &0.0161 &0.0332 &0.0534 &0.0517 &0.0135 &0.017\\ \hline 宣城市 &0 &0.0067 &0.1073 &0.0358 &0.0011 &0.0054 &0.03 &0.0202 &0 &0.0612 &0.0161 &0.0018 &0.044 &0.0198 &0.062 &0.0173 &0.0265\\ \hline 铜陵市 &0.0643 &0.0111 &0.1842 &0.0736 &0.0093 &0.0304 &0.0288 &0.0116 &0.0003 &0.0613 &0.0274 &0.0298 &0.0312 &0.0307 &0.0711 &0.0077 &0.0382\\ \hline 池州市 &0.0297 &0.0097 &0.1084 &0.0522 &0.0016 &0.0027 &0.0322 &0.0083 &0.0014 &0.0641 &0.0252 &0.0199 &0.0375 &0.0049 &0.0575 &0.0085 &0.0213\\ \hline 安庆市 &0.0131 &0.0064 &0.167 &0.0676 &0.0033 &0.0154 &0.0396 &0.0085 &0.0236 &0.0701 &0.0193 &0.0106 &0.0367 &0.0483 &0 &0.0207 &0.0227\\ \hline 黄山市 &0.0034 &0.0025 &0 &0 &0 &0 &0.0358 &0.012 &0.0123 &0.0623 &0.0059 &0.0004 &0.007 &0.0394 &0.0663 &0 &0.0338\\ \hline \end{array} $$$$K^- =\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &+X1 &+X2 &+X3 &+X4 &+X5 &+X6 &+X7 &+X8 &+X9 &+X10 &+X11 &+X12 &+X13 &+X14 &+X15 &+X16 &+X17\\ \hline 合肥市 &0.0253 &0.016 &0.0015 &0.0069 &0.0143 &0.008 &0.0512 &0.012 &0.003 &0.0892 &0.0357 &0.0316 &0.046 &0.0536 &0.0522 &0.016 &0.0242\\ \hline 淮北市 &0 &0.0196 &0.0001 &0.0056 &0.0203 &0 &0.0355 &0.0148 &0.0109 &0.016 &0.0339 &0.0307 &0.0206 &0.0553 &0.0163 &0.0224 &0.0382\\ \hline 毫州市 &0.0126 &0.0193 &0.002 &0.0054 &0.022 &0.0147 &0 &0.0242 &0.0058 &0.0005 &0.0279 &0.0278 &0.0214 &0.0452 &0.0518 &0 &0.0299\\ \hline 宿州市 &0.0171 &0.0197 &0.0029 &0.0063 &0.0237 &0.0182 &0.0026 &0.0185 &0.0156 &0.0021 &0.0305 &0.028 &0.0184 &0.0294 &0.0438 &0.0035 &0.0031\\ \hline 蚌埠市 &0.0083 &0.0152 &0.0029 &0.0061 &0.0153 &0.0189 &0.0246 &0.0146 &0.0146 &0.0298 &0.0255 &0.0306 &0.0131 &0.0335 &0.0103 &0.015 &0.0302\\ \hline 阜阳市 &0.0155 &0.0191 &0 &0.0055 &0.0188 &0.0005 &0.0036 &0.0241 &0 &0 &0.0269 &0.0295 &0.0163 &0.0482 &0.0288 &0.0091 &0.0142\\ \hline 淮南市 &0.006 &0.0118 &0.0004 &0.0011 &0.0007 &0.0145 &0.0343 &0.0127 &0.0321 &0.0046 &0 &0.0108 &0.0176 &0.029 &0.0056 &0.0203 &0.0302\\ \hline 滁州市 &0.0266 &0.0131 &0.0057 &0 &0.0161 &0.0388 &0.0185 &0.0136 &0.0224 &0.0405 &0.0239 &0.0317 &0 &0.048 &0.0561 &0.0238 &0.0229\\ \hline 六安市 &0.0492 &0.0141 &0.0241 &0.025 &0.0251 &0.0384 &0.0073 &0.0181 &0.0198 &0.0006 &0.005 &0.027 &0.0206 &0.0002 &0.0197 &0.0146 &0.0346\\ \hline 马鞍山市 &0.0056 &0 &0.0065 &0.0153 &0 &0.0181 &0.0404 &0 &0.0247 &0.0615 &0.0068 &0 &0.0108 &0 &0.0064 &0.0221 &0.0265\\ \hline 芜湖市 &0.0171 &0.008 &0.0119 &0.0323 &0.0163 &0.0148 &0.0363 &0.0101 &0.0239 &0.0682 &0.0216 &0.0155 &0.0128 &0.0019 &0.0194 &0.0159 &0.0212\\ \hline 宣城市 &0.0706 &0.0131 &0.0947 &0.0771 &0.0283 &0.046 &0.0212 &0.004 &0.042 &0.028 &0.0196 &0.0298 &0.002 &0.0355 &0.0091 &0.0121 &0.0117\\ \hline 铜陵市 &0.0063 &0.0086 &0.0177 &0.0393 &0.0201 &0.0209 &0.0224 &0.0127 &0.0417 &0.0279 &0.0083 &0.0019 &0.0148 &0.0246 &0 &0.0217 &0\\ \hline 池州市 &0.0409 &0.0101 &0.0935 &0.0607 &0.0278 &0.0487 &0.0191 &0.016 &0.0406 &0.0252 &0.0105 &0.0118 &0.0085 &0.0504 &0.0136 &0.0209 &0.0169\\ \hline 安庆市 &0.0575 &0.0134 &0.0349 &0.0453 &0.0261 &0.0359 &0.0117 &0.0157 &0.0184 &0.0191 &0.0164 &0.0211 &0.0093 &0.007 &0.0711 &0.0087 &0.0156\\ \hline 黄山市 &0.0672 &0.0172 &0.2019 &0.1129 &0.0294 &0.0513 &0.0154 &0.0122 &0.0297 &0.027 &0.0298 &0.0313 &0.039 &0.0159 &0.0047 &0.0294 &0.0045\\ \hline \end{array} $$

上述两者合并后矩阵如下

$$K=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times34}} &-X1 &-X2 &-X3 &-X4 &-X5 &-X6 &-X7 &-X8 &-X9 &-X10 &-X11 &-X12 &-X13 &-X14 &-X15 &-X16 &-X17 &+X1 &+X2 &+X3 &+X4 &+X5 &+X6 &+X7 &+X8 &+X9 &+X10 &+X11 &+X12 &+X13 &+X14 &+X15 &+X16 &+X17\\ \hline 合肥市 &0.0453 &0.0038 &0.2004 &0.106 &0.0151 &0.0433 &0 &0.0122 &0.039 &0 &0 &0.0001 &0 &0.0017 &0.0188 &0.0134 &0.014 &0.0453 &0.0038 &0.2004 &0.106 &0.0151 &0.0433 &0 &0.0122 &0.039 &0 &0 &0.0001 &0 &0.0017 &0.0188 &0.0134 &0.014\\ \hline 淮北市 &0.0706 &0.0001 &0.2018 &0.1073 &0.0091 &0.0513 &0.0157 &0.0094 &0.031 &0.0733 &0.0018 &0.001 &0.0254 &0 &0.0548 &0.007 &0 &0.0706 &0.0001 &0.2018 &0.1073 &0.0091 &0.0513 &0.0157 &0.0094 &0.031 &0.0733 &0.0018 &0.001 &0.0254 &0 &0.0548 &0.007 &0\\ \hline 毫州市 &0.058 &0.0005 &0.1999 &0.1075 &0.0074 &0.0366 &0.0512 &0 &0.0362 &0.0887 &0.0079 &0.0038 &0.0246 &0.01 &0.0193 &0.0294 &0.0083 &0.058 &0.0005 &0.1999 &0.1075 &0.0074 &0.0366 &0.0512 &0 &0.0362 &0.0887 &0.0079 &0.0038 &0.0246 &0.01 &0.0193 &0.0294 &0.0083\\ \hline 宿州市 &0.0535 &0 &0.199 &0.1066 &0.0057 &0.0331 &0.0486 &0.0058 &0.0264 &0.0872 &0.0052 &0.0036 &0.0277 &0.0259 &0.0272 &0.0259 &0.0351 &0.0535 &0 &0.199 &0.1066 &0.0057 &0.0331 &0.0486 &0.0058 &0.0264 &0.0872 &0.0052 &0.0036 &0.0277 &0.0259 &0.0272 &0.0259 &0.0351\\ \hline 蚌埠市 &0.0623 &0.0045 &0.199 &0.1068 &0.0141 &0.0325 &0.0267 &0.0097 &0.0274 &0.0595 &0.0102 &0.001 &0.0329 &0.0217 &0.0608 &0.0144 &0.008 &0.0623 &0.0045 &0.199 &0.1068 &0.0141 &0.0325 &0.0267 &0.0097 &0.0274 &0.0595 &0.0102 &0.001 &0.0329 &0.0217 &0.0608 &0.0144 &0.008\\ \hline 阜阳市 &0.0552 &0.0006 &0.2019 &0.1074 &0.0106 &0.0509 &0.0476 &0.0002 &0.042 &0.0892 &0.0088 &0.0022 &0.0297 &0.007 &0.0422 &0.0203 &0.024 &0.0552 &0.0006 &0.2019 &0.1074 &0.0106 &0.0509 &0.0476 &0.0002 &0.042 &0.0892 &0.0088 &0.0022 &0.0297 &0.007 &0.0422 &0.0203 &0.024\\ \hline 淮南市 &0.0646 &0.0079 &0.2015 &0.1118 &0.0287 &0.0369 &0.017 &0.0116 &0.0099 &0.0846 &0.0357 &0.0209 &0.0284 &0.0263 &0.0655 &0.0091 &0.008 &0.0646 &0.0079 &0.2015 &0.1118 &0.0287 &0.0369 &0.017 &0.0116 &0.0099 &0.0846 &0.0357 &0.0209 &0.0284 &0.0263 &0.0655 &0.0091 &0.008\\ \hline 滁州市 &0.044 &0.0066 &0.1962 &0.1129 &0.0133 &0.0125 &0.0327 &0.0106 &0.0196 &0.0487 &0.0118 &0 &0.046 &0.0073 &0.015 &0.0056 &0.0153 &0.044 &0.0066 &0.1962 &0.1129 &0.0133 &0.0125 &0.0327 &0.0106 &0.0196 &0.0487 &0.0118 &0 &0.046 &0.0073 &0.015 &0.0056 &0.0153\\ \hline 六安市 &0.0214 &0.0056 &0.1778 &0.0879 &0.0043 &0.0129 &0.0439 &0.0062 &0.0222 &0.0887 &0.0307 &0.0046 &0.0254 &0.0551 &0.0513 &0.0148 &0.0036 &0.0214 &0.0056 &0.1778 &0.0879 &0.0043 &0.0129 &0.0439 &0.0062 &0.0222 &0.0887 &0.0307 &0.0046 &0.0254 &0.0551 &0.0513 &0.0148 &0.0036\\ \hline 马鞍山市 &0.0651 &0.0197 &0.1954 &0.0976 &0.0294 &0.0332 &0.0108 &0.0242 &0.0173 &0.0278 &0.0289 &0.0317 &0.0352 &0.0553 &0.0647 &0.0073 &0.0118 &0.0651 &0.0197 &0.1954 &0.0976 &0.0294 &0.0332 &0.0108 &0.0242 &0.0173 &0.0278 &0.0289 &0.0317 &0.0352 &0.0553 &0.0647 &0.0073 &0.0118\\ \hline 芜湖市 &0.0535 &0.0118 &0.19 &0.0806 &0.0131 &0.0365 &0.0149 &0.0142 &0.0181 &0.021 &0.0141 &0.0161 &0.0332 &0.0534 &0.0517 &0.0135 &0.017 &0.0535 &0.0118 &0.19 &0.0806 &0.0131 &0.0365 &0.0149 &0.0142 &0.0181 &0.021 &0.0141 &0.0161 &0.0332 &0.0534 &0.0517 &0.0135 &0.017\\ \hline 宣城市 &0 &0.0067 &0.1073 &0.0358 &0.0011 &0.0054 &0.03 &0.0202 &0 &0.0612 &0.0161 &0.0018 &0.044 &0.0198 &0.062 &0.0173 &0.0265 &0 &0.0067 &0.1073 &0.0358 &0.0011 &0.0054 &0.03 &0.0202 &0 &0.0612 &0.0161 &0.0018 &0.044 &0.0198 &0.062 &0.0173 &0.0265\\ \hline 铜陵市 &0.0643 &0.0111 &0.1842 &0.0736 &0.0093 &0.0304 &0.0288 &0.0116 &0.0003 &0.0613 &0.0274 &0.0298 &0.0312 &0.0307 &0.0711 &0.0077 &0.0382 &0.0643 &0.0111 &0.1842 &0.0736 &0.0093 &0.0304 &0.0288 &0.0116 &0.0003 &0.0613 &0.0274 &0.0298 &0.0312 &0.0307 &0.0711 &0.0077 &0.0382\\ \hline 池州市 &0.0297 &0.0097 &0.1084 &0.0522 &0.0016 &0.0027 &0.0322 &0.0083 &0.0014 &0.0641 &0.0252 &0.0199 &0.0375 &0.0049 &0.0575 &0.0085 &0.0213 &0.0297 &0.0097 &0.1084 &0.0522 &0.0016 &0.0027 &0.0322 &0.0083 &0.0014 &0.0641 &0.0252 &0.0199 &0.0375 &0.0049 &0.0575 &0.0085 &0.0213\\ \hline 安庆市 &0.0131 &0.0064 &0.167 &0.0676 &0.0033 &0.0154 &0.0396 &0.0085 &0.0236 &0.0701 &0.0193 &0.0106 &0.0367 &0.0483 &0 &0.0207 &0.0227 &0.0131 &0.0064 &0.167 &0.0676 &0.0033 &0.0154 &0.0396 &0.0085 &0.0236 &0.0701 &0.0193 &0.0106 &0.0367 &0.0483 &0 &0.0207 &0.0227\\ \hline 黄山市 &0.0034 &0.0025 &0 &0 &0 &0 &0.0358 &0.012 &0.0123 &0.0623 &0.0059 &0.0004 &0.007 &0.0394 &0.0663 &0 &0.0338 &0.0034 &0.0025 &0 &0 &0 &0 &0.0358 &0.012 &0.0123 &0.0623 &0.0059 &0.0004 &0.007 &0.0394 &0.0663 &0 &0.0338\\ \hline \end{array} $$
负理想点的距离指标为正向指标。

对距离矩阵$K^+,K^-$依据权重大小方向进行列变换得到$(K_a^+,K_a^-)$


  按照权重由小到大升序方向得到的变换矩阵$K_{a}^+ $ 如下:

$$K_a^+=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &-X2 &-X8 &-X16 &-X5 &-X12 &-X11 &-X17 &-X9 &-X13 &-X7 &-X6 &-X14 &-X1 &-X15 &-X10 &-X4 &-X3\\ \hline 合肥市 &0.0038 &0.0122 &0.0134 &0.0151 &0.0001 &0 &0.014 &0.039 &0 &0 &0.0433 &0.0017 &0.0453 &0.0188 &0 &0.106 &0.2004\\ \hline 淮北市 &0.0001 &0.0094 &0.007 &0.0091 &0.001 &0.0018 &0 &0.031 &0.0254 &0.0157 &0.0513 &0 &0.0706 &0.0548 &0.0733 &0.1073 &0.2018\\ \hline 毫州市 &0.0005 &0 &0.0294 &0.0074 &0.0038 &0.0079 &0.0083 &0.0362 &0.0246 &0.0512 &0.0366 &0.01 &0.058 &0.0193 &0.0887 &0.1075 &0.1999\\ \hline 宿州市 &0 &0.0058 &0.0259 &0.0057 &0.0036 &0.0052 &0.0351 &0.0264 &0.0277 &0.0486 &0.0331 &0.0259 &0.0535 &0.0272 &0.0872 &0.1066 &0.199\\ \hline 蚌埠市 &0.0045 &0.0097 &0.0144 &0.0141 &0.001 &0.0102 &0.008 &0.0274 &0.0329 &0.0267 &0.0325 &0.0217 &0.0623 &0.0608 &0.0595 &0.1068 &0.199\\ \hline 阜阳市 &0.0006 &0.0002 &0.0203 &0.0106 &0.0022 &0.0088 &0.024 &0.042 &0.0297 &0.0476 &0.0509 &0.007 &0.0552 &0.0422 &0.0892 &0.1074 &0.2019\\ \hline 淮南市 &0.0079 &0.0116 &0.0091 &0.0287 &0.0209 &0.0357 &0.008 &0.0099 &0.0284 &0.017 &0.0369 &0.0263 &0.0646 &0.0655 &0.0846 &0.1118 &0.2015\\ \hline 滁州市 &0.0066 &0.0106 &0.0056 &0.0133 &0 &0.0118 &0.0153 &0.0196 &0.046 &0.0327 &0.0125 &0.0073 &0.044 &0.015 &0.0487 &0.1129 &0.1962\\ \hline 六安市 &0.0056 &0.0062 &0.0148 &0.0043 &0.0046 &0.0307 &0.0036 &0.0222 &0.0254 &0.0439 &0.0129 &0.0551 &0.0214 &0.0513 &0.0887 &0.0879 &0.1778\\ \hline 马鞍山市 &0.0197 &0.0242 &0.0073 &0.0294 &0.0317 &0.0289 &0.0118 &0.0173 &0.0352 &0.0108 &0.0332 &0.0553 &0.0651 &0.0647 &0.0278 &0.0976 &0.1954\\ \hline 芜湖市 &0.0118 &0.0142 &0.0135 &0.0131 &0.0161 &0.0141 &0.017 &0.0181 &0.0332 &0.0149 &0.0365 &0.0534 &0.0535 &0.0517 &0.021 &0.0806 &0.19\\ \hline 宣城市 &0.0067 &0.0202 &0.0173 &0.0011 &0.0018 &0.0161 &0.0265 &0 &0.044 &0.03 &0.0054 &0.0198 &0 &0.062 &0.0612 &0.0358 &0.1073\\ \hline 铜陵市 &0.0111 &0.0116 &0.0077 &0.0093 &0.0298 &0.0274 &0.0382 &0.0003 &0.0312 &0.0288 &0.0304 &0.0307 &0.0643 &0.0711 &0.0613 &0.0736 &0.1842\\ \hline 池州市 &0.0097 &0.0083 &0.0085 &0.0016 &0.0199 &0.0252 &0.0213 &0.0014 &0.0375 &0.0322 &0.0027 &0.0049 &0.0297 &0.0575 &0.0641 &0.0522 &0.1084\\ \hline 安庆市 &0.0064 &0.0085 &0.0207 &0.0033 &0.0106 &0.0193 &0.0227 &0.0236 &0.0367 &0.0396 &0.0154 &0.0483 &0.0131 &0 &0.0701 &0.0676 &0.167\\ \hline 黄山市 &0.0025 &0.012 &0 &0 &0.0004 &0.0059 &0.0338 &0.0123 &0.007 &0.0358 &0 &0.0394 &0.0034 &0.0663 &0.0623 &0 &0\\ \hline \end{array} $$

  按照权重由小到大升序方向得到的变换矩阵$K_{a}^- $ 如下:

$$K_a^-=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &+X2 &+X8 &+X16 &+X5 &+X12 &+X11 &+X17 &+X9 &+X13 &+X7 &+X6 &+X14 &+X1 &+X15 &+X10 &+X4 &+X3\\ \hline 合肥市 &0.016 &0.012 &0.016 &0.0143 &0.0316 &0.0357 &0.0242 &0.003 &0.046 &0.0512 &0.008 &0.0536 &0.0253 &0.0522 &0.0892 &0.0069 &0.0015\\ \hline 淮北市 &0.0196 &0.0148 &0.0224 &0.0203 &0.0307 &0.0339 &0.0382 &0.0109 &0.0206 &0.0355 &0 &0.0553 &0 &0.0163 &0.016 &0.0056 &0.0001\\ \hline 毫州市 &0.0193 &0.0242 &0 &0.022 &0.0278 &0.0279 &0.0299 &0.0058 &0.0214 &0 &0.0147 &0.0452 &0.0126 &0.0518 &0.0005 &0.0054 &0.002\\ \hline 宿州市 &0.0197 &0.0185 &0.0035 &0.0237 &0.028 &0.0305 &0.0031 &0.0156 &0.0184 &0.0026 &0.0182 &0.0294 &0.0171 &0.0438 &0.0021 &0.0063 &0.0029\\ \hline 蚌埠市 &0.0152 &0.0146 &0.015 &0.0153 &0.0306 &0.0255 &0.0302 &0.0146 &0.0131 &0.0246 &0.0189 &0.0335 &0.0083 &0.0103 &0.0298 &0.0061 &0.0029\\ \hline 阜阳市 &0.0191 &0.0241 &0.0091 &0.0188 &0.0295 &0.0269 &0.0142 &0 &0.0163 &0.0036 &0.0005 &0.0482 &0.0155 &0.0288 &0 &0.0055 &0\\ \hline 淮南市 &0.0118 &0.0127 &0.0203 &0.0007 &0.0108 &0 &0.0302 &0.0321 &0.0176 &0.0343 &0.0145 &0.029 &0.006 &0.0056 &0.0046 &0.0011 &0.0004\\ \hline 滁州市 &0.0131 &0.0136 &0.0238 &0.0161 &0.0317 &0.0239 &0.0229 &0.0224 &0 &0.0185 &0.0388 &0.048 &0.0266 &0.0561 &0.0405 &0 &0.0057\\ \hline 六安市 &0.0141 &0.0181 &0.0146 &0.0251 &0.027 &0.005 &0.0346 &0.0198 &0.0206 &0.0073 &0.0384 &0.0002 &0.0492 &0.0197 &0.0006 &0.025 &0.0241\\ \hline 马鞍山市 &0 &0 &0.0221 &0 &0 &0.0068 &0.0265 &0.0247 &0.0108 &0.0404 &0.0181 &0 &0.0056 &0.0064 &0.0615 &0.0153 &0.0065\\ \hline 芜湖市 &0.008 &0.0101 &0.0159 &0.0163 &0.0155 &0.0216 &0.0212 &0.0239 &0.0128 &0.0363 &0.0148 &0.0019 &0.0171 &0.0194 &0.0682 &0.0323 &0.0119\\ \hline 宣城市 &0.0131 &0.004 &0.0121 &0.0283 &0.0298 &0.0196 &0.0117 &0.042 &0.002 &0.0212 &0.046 &0.0355 &0.0706 &0.0091 &0.028 &0.0771 &0.0947\\ \hline 铜陵市 &0.0086 &0.0127 &0.0217 &0.0201 &0.0019 &0.0083 &0 &0.0417 &0.0148 &0.0224 &0.0209 &0.0246 &0.0063 &0 &0.0279 &0.0393 &0.0177\\ \hline 池州市 &0.0101 &0.016 &0.0209 &0.0278 &0.0118 &0.0105 &0.0169 &0.0406 &0.0085 &0.0191 &0.0487 &0.0504 &0.0409 &0.0136 &0.0252 &0.0607 &0.0935\\ \hline 安庆市 &0.0134 &0.0157 &0.0087 &0.0261 &0.0211 &0.0164 &0.0156 &0.0184 &0.0093 &0.0117 &0.0359 &0.007 &0.0575 &0.0711 &0.0191 &0.0453 &0.0349\\ \hline 黄山市 &0.0172 &0.0122 &0.0294 &0.0294 &0.0313 &0.0298 &0.0045 &0.0297 &0.039 &0.0154 &0.0513 &0.0159 &0.0672 &0.0047 &0.027 &0.1129 &0.2019\\ \hline \end{array} $$

上述矩阵只是简单的根据权重大小的方向,每一列的位置进行了变换。


对变换后的矩阵从左到右进行累加,获得两对累加矩阵


  $K_{a}^+ , K_{a}^-$ 分别累加得到一组对抗矩阵$P_{a} , Q_{a}$ 


    其中$K_{a}^+ \longrightarrow P_{a} $

$$P_a=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &-P_{a}1 &-P_{a}2 &-P_{a}3 &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17\\ \hline 合肥市 &0.0038 &0.016 &0.0294 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132\\ \hline 淮北市 &0.0001 &0.0096 &0.0166 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598\\ \hline 毫州市 &0.0005 &0.0005 &0.0299 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895\\ \hline 宿州市 &0 &0.0058 &0.0317 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166\\ \hline 蚌埠市 &0.0045 &0.0142 &0.0286 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915\\ \hline 阜阳市 &0.0006 &0.0008 &0.0212 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399\\ \hline 淮南市 &0.0079 &0.0195 &0.0286 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682\\ \hline 滁州市 &0.0066 &0.0172 &0.0228 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981\\ \hline 六安市 &0.0056 &0.0118 &0.0265 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566\\ \hline 马鞍山市 &0.0197 &0.044 &0.0513 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554\\ \hline 芜湖市 &0.0118 &0.0259 &0.0394 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527\\ \hline 宣城市 &0.0067 &0.0269 &0.0442 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553\\ \hline 铜陵市 &0.0111 &0.0227 &0.0303 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111\\ \hline 池州市 &0.0097 &0.0179 &0.0264 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485\\ \hline 安庆市 &0.0064 &0.0149 &0.0356 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731\\ \hline 黄山市 &0.0025 &0.0145 &0.0145 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812\\ \hline \end{array} $$

    其中$K_{a}^- \longrightarrow Q_{a} $

$$Q_a=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times17}} &+Q_{a}1 &+Q_{a}2 &+Q_{a}3 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.016 &0.028 &0.0439 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0196 &0.0344 &0.0568 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0193 &0.0435 &0.0435 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0197 &0.0382 &0.0417 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0152 &0.0298 &0.0448 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0191 &0.0432 &0.0522 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0118 &0.0245 &0.0448 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0131 &0.0267 &0.0506 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0141 &0.0322 &0.0468 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0 &0 &0.0221 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.008 &0.018 &0.034 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0131 &0.0171 &0.0292 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0086 &0.0213 &0.043 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0101 &0.026 &0.047 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0134 &0.0291 &0.0377 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0172 &0.0294 &0.0588 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$

上述两者合并后矩阵如下

$$PaQa=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times34}} &-P_{a}1 &-P_{a}2 &-P_{a}3 &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}1 &+Q_{a}2 &+Q_{a}3 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0038 &0.016 &0.0294 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.016 &0.028 &0.0439 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0001 &0.0096 &0.0166 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.0196 &0.0344 &0.0568 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0005 &0.0005 &0.0299 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0193 &0.0435 &0.0435 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0 &0.0058 &0.0317 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0197 &0.0382 &0.0417 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0045 &0.0142 &0.0286 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0152 &0.0298 &0.0448 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0006 &0.0008 &0.0212 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.0191 &0.0432 &0.0522 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0079 &0.0195 &0.0286 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0118 &0.0245 &0.0448 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0066 &0.0172 &0.0228 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0131 &0.0267 &0.0506 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0056 &0.0118 &0.0265 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.0141 &0.0322 &0.0468 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.0197 &0.044 &0.0513 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0 &0 &0.0221 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0118 &0.0259 &0.0394 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.008 &0.018 &0.034 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0067 &0.0269 &0.0442 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0131 &0.0171 &0.0292 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0111 &0.0227 &0.0303 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0086 &0.0213 &0.043 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0097 &0.0179 &0.0264 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.0101 &0.026 &0.047 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0064 &0.0149 &0.0356 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0134 &0.0291 &0.0377 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0025 &0.0145 &0.0145 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.0172 &0.0294 &0.0588 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$
负理想点的距离指标为正向指标。

降维过程的理解


矩阵的数目为17

$$34列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times34}} &-P_{a}1 &-P_{a}2 &-P_{a}3 &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}1 &+Q_{a}2 &+Q_{a}3 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0038 &0.016 &0.0294 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.016 &0.028 &0.0439 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0001 &0.0096 &0.0166 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.0196 &0.0344 &0.0568 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0005 &0.0005 &0.0299 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0193 &0.0435 &0.0435 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0 &0.0058 &0.0317 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0197 &0.0382 &0.0417 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0045 &0.0142 &0.0286 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0152 &0.0298 &0.0448 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0006 &0.0008 &0.0212 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.0191 &0.0432 &0.0522 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0079 &0.0195 &0.0286 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0118 &0.0245 &0.0448 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0066 &0.0172 &0.0228 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0131 &0.0267 &0.0506 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0056 &0.0118 &0.0265 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.0141 &0.0322 &0.0468 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.0197 &0.044 &0.0513 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0 &0 &0.0221 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0118 &0.0259 &0.0394 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.008 &0.018 &0.034 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0067 &0.0269 &0.0442 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0131 &0.0171 &0.0292 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0111 &0.0227 &0.0303 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0086 &0.0213 &0.043 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0097 &0.0179 &0.0264 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.0101 &0.026 &0.047 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0064 &0.0149 &0.0356 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0134 &0.0291 &0.0377 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0025 &0.0145 &0.0145 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.0172 &0.0294 &0.0588 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$32列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times32}} &-P_{a}2 &-P_{a}3 &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}2 &+Q_{a}3 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.016 &0.0294 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.028 &0.0439 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0096 &0.0166 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.0344 &0.0568 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0005 &0.0299 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0435 &0.0435 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0058 &0.0317 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0382 &0.0417 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0142 &0.0286 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0298 &0.0448 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0008 &0.0212 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.0432 &0.0522 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0195 &0.0286 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0245 &0.0448 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0172 &0.0228 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0267 &0.0506 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0118 &0.0265 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.0322 &0.0468 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.044 &0.0513 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0 &0.0221 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0259 &0.0394 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.018 &0.034 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0269 &0.0442 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0171 &0.0292 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0227 &0.0303 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0213 &0.043 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0179 &0.0264 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.026 &0.047 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0149 &0.0356 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0291 &0.0377 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0145 &0.0145 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.0294 &0.0588 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$30列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times30}} &-P_{a}3 &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}3 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0294 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.0439 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0166 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.0568 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0299 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0435 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0317 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0417 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0286 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0448 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0212 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.0522 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0286 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0448 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0228 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0506 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0265 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.0468 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.0513 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0221 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0394 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.034 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0442 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0292 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0303 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.043 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0264 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.047 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0356 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0377 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0145 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.0588 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$28列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times28}} &-P_{a}4 &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}4 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0446 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.0582 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0257 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.0771 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0373 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0655 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0374 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0653 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0427 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0601 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0318 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.071 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0572 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0455 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0361 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0667 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0309 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.0719 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.0807 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0221 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0525 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.0503 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0453 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0575 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0397 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0631 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.028 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.0747 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.039 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0638 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0145 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.0882 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$26列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times26}} &-P_{a}5 &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}5 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0447 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.0898 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0267 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.1077 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0411 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.0933 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0411 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.0934 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0437 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.0908 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0339 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1005 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.0781 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0563 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0361 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.0983 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0355 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.099 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.1123 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0221 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0686 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.0658 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0472 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.0873 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0694 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.065 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0479 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.0865 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0496 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.0849 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0149 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.1195 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$24列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times24}} &-P_{a}6 &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}6 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0447 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.1255 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0285 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.1417 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.049 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.1212 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0463 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.1239 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0539 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.1163 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0427 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1274 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.1138 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0563 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0479 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.1222 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0662 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.1039 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.1413 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0289 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0828 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.0874 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0632 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.1069 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.0969 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0733 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0731 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.0971 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0689 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.1012 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0208 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.1493 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$22列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times22}} &-P_{a}7 &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}7 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0587 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.1497 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0285 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.1799 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0573 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.151 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.0814 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.127 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0618 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.1466 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.0667 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1417 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.1218 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.0866 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0632 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.1452 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.0698 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.1385 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.153 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.0997 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1086 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0898 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.1186 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.1351 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.0733 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0944 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.114 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.0916 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.1168 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0546 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.1538 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$20列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times20}} &-P_{a}8 &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}8 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0977 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.1527 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0595 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.1908 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.0935 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.1568 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.1078 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.1426 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.0892 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.1611 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.1087 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1417 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.1317 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.1187 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.0828 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.1676 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.092 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.1583 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.1703 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.08 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.1179 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1325 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.0898 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.1606 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.1354 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.115 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.0958 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.1545 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.1152 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.1351 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0669 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.1835 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$18列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times18}} &-P_{a}9 &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}9 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0977 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.1987 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.0849 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.2115 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.1181 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.1782 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.1354 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.1609 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.1222 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.1742 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.1384 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.158 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.1601 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.1363 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.1288 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.1676 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.1174 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.1789 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.2055 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.0909 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.151 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1453 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.1338 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.1626 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.1665 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.1298 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.1333 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.1631 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.1519 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.1444 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.0739 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.2224 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$16列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times16}} &-P_{a}10 &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}10 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.0977 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.2499 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.1006 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.247 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.1694 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.1782 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.1841 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.1635 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.1488 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.1988 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.186 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1616 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.177 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.1706 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.1615 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.1861 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.1613 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.1863 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.2163 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.1313 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.166 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1817 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.1638 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.1838 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.1953 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.1523 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.1655 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.1821 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.1915 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.1561 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.1097 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.2379 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$14列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times14}} &-P_{a}11 &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}11 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.141 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.258 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.1519 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.247 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.206 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.1929 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.2172 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.1817 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.1813 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.2177 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.2369 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.1621 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.2139 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.185 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.174 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.2249 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.1742 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.2247 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.2495 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.1494 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.2025 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1964 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.1692 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.2297 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.2258 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.1732 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.1681 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.2308 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.2069 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.192 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.1097 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.2892 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$12列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times12}} &-P_{a}12 &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}12 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.1427 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.3116 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.1519 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.3023 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.2161 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.2382 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.2431 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.2111 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.203 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.2512 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.2439 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.2103 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.2402 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.2141 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.1813 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.2729 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.2293 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.2249 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.3048 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.1494 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.2559 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.1984 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.189 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.2652 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.2565 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.1978 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.173 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.2812 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.2552 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.199 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.1491 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.3051 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$10列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times10}} &-P_{a}13 &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}13 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.188 &0.2068 &0.2068 &0.3128 &0.5132 &0.3369 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.2226 &0.2774 &0.3507 &0.458 &0.6598 &0.3023 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.2741 &0.2933 &0.3821 &0.4896 &0.6895 &0.2508 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.2966 &0.3239 &0.411 &0.5176 &0.7166 &0.2282 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.2653 &0.3261 &0.3856 &0.4924 &0.6915 &0.2595 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.2991 &0.3413 &0.4306 &0.538 &0.7399 &0.2258 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.3048 &0.3703 &0.4549 &0.5667 &0.7682 &0.2201 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.2253 &0.2403 &0.289 &0.4019 &0.5981 &0.2995 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.2508 &0.3021 &0.3908 &0.4787 &0.6566 &0.2741 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.3699 &0.4346 &0.4624 &0.56 &0.7554 &0.1549 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.3094 &0.3611 &0.3821 &0.4627 &0.6527 &0.2155 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.189 &0.251 &0.3122 &0.348 &0.4553 &0.3359 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.3208 &0.3919 &0.4532 &0.5268 &0.7111 &0.2041 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.2028 &0.2603 &0.3244 &0.3765 &0.485 &0.3221 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.2683 &0.2683 &0.3384 &0.406 &0.5731 &0.2566 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.1526 &0.2189 &0.2812 &0.2812 &0.2812 &0.3723 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$8列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times8}} &-P_{a}14 &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}14 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.2068 &0.2068 &0.3128 &0.5132 &0.3891 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.2774 &0.3507 &0.458 &0.6598 &0.3186 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.2933 &0.3821 &0.4896 &0.6895 &0.3026 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.3239 &0.411 &0.5176 &0.7166 &0.2721 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.3261 &0.3856 &0.4924 &0.6915 &0.2698 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.3413 &0.4306 &0.538 &0.7399 &0.2546 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.3703 &0.4549 &0.5667 &0.7682 &0.2256 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.2403 &0.289 &0.4019 &0.5981 &0.3557 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.3021 &0.3908 &0.4787 &0.6566 &0.2938 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.4346 &0.4624 &0.56 &0.7554 &0.1613 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.3611 &0.3821 &0.4627 &0.6527 &0.2348 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.251 &0.3122 &0.348 &0.4553 &0.345 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.3919 &0.4532 &0.5268 &0.7111 &0.2041 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.2603 &0.3244 &0.3765 &0.485 &0.3356 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.2683 &0.3384 &0.406 &0.5731 &0.3276 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.2189 &0.2812 &0.2812 &0.2812 &0.377 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$6列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times6}} &-P_{a}15 &-P_{a}16 &-P_{a}17 &+Q_{a}15 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.2068 &0.3128 &0.5132 &0.4783 &0.4853 &0.4868\\ \hline 淮北市 &0.3507 &0.458 &0.6598 &0.3345 &0.3401 &0.3402\\ \hline 毫州市 &0.3821 &0.4896 &0.6895 &0.3031 &0.3085 &0.3105\\ \hline 宿州市 &0.411 &0.5176 &0.7166 &0.2741 &0.2805 &0.2834\\ \hline 蚌埠市 &0.3856 &0.4924 &0.6915 &0.2996 &0.3057 &0.3085\\ \hline 阜阳市 &0.4306 &0.538 &0.7399 &0.2546 &0.2601 &0.2601\\ \hline 淮南市 &0.4549 &0.5667 &0.7682 &0.2303 &0.2313 &0.2318\\ \hline 滁州市 &0.289 &0.4019 &0.5981 &0.3962 &0.3962 &0.4019\\ \hline 六安市 &0.3908 &0.4787 &0.6566 &0.2944 &0.3193 &0.3434\\ \hline 马鞍山市 &0.4624 &0.56 &0.7554 &0.2228 &0.2381 &0.2446\\ \hline 芜湖市 &0.3821 &0.4627 &0.6527 &0.3031 &0.3354 &0.3473\\ \hline 宣城市 &0.3122 &0.348 &0.4553 &0.373 &0.45 &0.5447\\ \hline 铜陵市 &0.4532 &0.5268 &0.7111 &0.232 &0.2712 &0.2889\\ \hline 池州市 &0.3244 &0.3765 &0.485 &0.3608 &0.4215 &0.515\\ \hline 安庆市 &0.3384 &0.406 &0.5731 &0.3467 &0.392 &0.4269\\ \hline 黄山市 &0.2812 &0.2812 &0.2812 &0.404 &0.5169 &0.7188\\ \hline \end{array} $$$$4列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times4}} &-P_{a}16 &-P_{a}17 &+Q_{a}16 &+Q_{a}17\\ \hline 合肥市 &0.3128 &0.5132 &0.4853 &0.4868\\ \hline 淮北市 &0.458 &0.6598 &0.3401 &0.3402\\ \hline 毫州市 &0.4896 &0.6895 &0.3085 &0.3105\\ \hline 宿州市 &0.5176 &0.7166 &0.2805 &0.2834\\ \hline 蚌埠市 &0.4924 &0.6915 &0.3057 &0.3085\\ \hline 阜阳市 &0.538 &0.7399 &0.2601 &0.2601\\ \hline 淮南市 &0.5667 &0.7682 &0.2313 &0.2318\\ \hline 滁州市 &0.4019 &0.5981 &0.3962 &0.4019\\ \hline 六安市 &0.4787 &0.6566 &0.3193 &0.3434\\ \hline 马鞍山市 &0.56 &0.7554 &0.2381 &0.2446\\ \hline 芜湖市 &0.4627 &0.6527 &0.3354 &0.3473\\ \hline 宣城市 &0.348 &0.4553 &0.45 &0.5447\\ \hline 铜陵市 &0.5268 &0.7111 &0.2712 &0.2889\\ \hline 池州市 &0.3765 &0.485 &0.4215 &0.515\\ \hline 安庆市 &0.406 &0.5731 &0.392 &0.4269\\ \hline 黄山市 &0.2812 &0.2812 &0.5169 &0.7188\\ \hline \end{array} $$$$2列矩阵=\begin{array}{c|c|c|c|c|c|c}{M_{16 \times2}} &-P_{a}17 &+Q_{a}17\\ \hline 合肥市 &0.5132 &0.4868\\ \hline 淮北市 &0.6598 &0.3402\\ \hline 毫州市 &0.6895 &0.3105\\ \hline 宿州市 &0.7166 &0.2834\\ \hline 蚌埠市 &0.6915 &0.3085\\ \hline 阜阳市 &0.7399 &0.2601\\ \hline 淮南市 &0.7682 &0.2318\\ \hline 滁州市 &0.5981 &0.4019\\ \hline 六安市 &0.6566 &0.3434\\ \hline 马鞍山市 &0.7554 &0.2446\\ \hline 芜湖市 &0.6527 &0.3473\\ \hline 宣城市 &0.4553 &0.5447\\ \hline 铜陵市 &0.7111 &0.2889\\ \hline 池州市 &0.485 &0.515\\ \hline 安庆市 &0.5731 &0.4269\\ \hline 黄山市 &0.2812 &0.7188\\ \hline \end{array} $$

去重显示拓扑层级图


没有重复的拓扑层级图