规范化方法选择(参数选择)


原始矩阵(直接影响矩阵)为


$$Ori=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{18 \times18}} &S1 &S2 &S3 &S4 &S5 &S6 &S7 &S8 &S9 &S10 &S11 &S12 &S13 &S14 &S15 &S16 &S17 &S18\\ \hline S1 &0 &41 &46 &22 &44 &39 &31 &11 &10 &39 &49 &31 &49 &28 &49 &41 &11 &10\\ \hline S2 &39 &0 &22 &50 &22 &41 &31 &13 &11 &22 &11 &13 &13 &21 &39 &29 &30 &40\\ \hline S3 &50 &21 &0 &40 &50 &50 &30 &10 &28 &40 &40 &11 &40 &10 &40 &49 &31 &38\\ \hline S4 &12 &41 &11 &0 &14 &12 &11 &12 &12 &41 &10 &49 &39 &41 &41 &12 &41 &50\\ \hline S5 &21 &21 &39 &31 &0 &21 &20 &10 &11 &31 &11 &31 &22 &31 &40 &30 &31 &31\\ \hline S6 &31 &41 &40 &40 &40 &0 &40 &11 &11 &30 &28 &11 &13 &11 &11 &11 &21 &20\\ \hline S7 &31 &32 &40 &30 &40 &41 &0 &10 &10 &31 &22 &41 &40 &31 &22 &12 &22 &41\\ \hline S8 &21 &40 &19 &40 &10 &31 &10 &0 &23 &10 &10 &50 &10 &37 &40 &10 &32 &41\\ \hline S9 &10 &20 &10 &10 &10 &10 &10 &39 &0 &40 &21 &40 &10 &11 &40 &13 &10 &40\\ \hline S10 &10 &22 &20 &11 &31 &20 &22 &10 &12 &0 &21 &50 &21 &22 &31 &21 &40 &40\\ \hline S11 &31 &12 &29 &11 &12 &21 &31 &10 &10 &31 &0 &20 &21 &10 &10 &41 &10 &10\\ \hline S12 &12 &40 &10 &10 &12 &12 &13 &10 &10 &30 &13 &0 &10 &32 &50 &10 &29 &47\\ \hline S13 &20 &21 &10 &10 &21 &19 &40 &10 &10 &20 &19 &40 &0 &10 &22 &10 &19 &31\\ \hline S14 &21 &39 &10 &10 &10 &10 &21 &10 &19 &12 &10 &41 &32 &0 &45 &31 &40 &42\\ \hline S15 &10 &22 &11 &10 &30 &10 &11 &10 &11 &22 &11 &28 &21 &31 &0 &12 &19 &19\\ \hline S16 &40 &40 &40 &30 &40 &30 &40 &10 &10 &30 &41 &10 &10 &10 &10 &0 &10 &12\\ \hline S17 &30 &40 &38 &11 &21 &40 &40 &10 &10 &20 &19 &10 &11 &12 &20 &10 &0 &39\\ \hline S18 &21 &21 &28 &10 &30 &40 &40 &10 &19 &20 &28 &10 &20 &21 &29 &19 &40 &0\\ \hline \end{array} $$

规范直接关系矩阵求解过程


  • $$\mathcal{N}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{18 \times18}} &S1 &S2 &S3 &S4 &S5 &S6 &S7 &S8 &S9 &S10 &S11 &S12 &S13 &S14 &S15 &S16 &S17 &S18\\ \hline S1 &0 &0.071 &0.08 &0.038 &0.076 &0.067 &0.054 &0.019 &0.017 &0.067 &0.085 &0.054 &0.085 &0.048 &0.085 &0.071 &0.019 &0.017\\ \hline S2 &0.067 &0 &0.038 &0.087 &0.038 &0.071 &0.054 &0.022 &0.019 &0.038 &0.019 &0.022 &0.022 &0.036 &0.067 &0.05 &0.052 &0.069\\ \hline S3 &0.087 &0.036 &0 &0.069 &0.087 &0.087 &0.052 &0.017 &0.048 &0.069 &0.069 &0.019 &0.069 &0.017 &0.069 &0.085 &0.054 &0.066\\ \hline S4 &0.021 &0.071 &0.019 &0 &0.024 &0.021 &0.019 &0.021 &0.021 &0.071 &0.017 &0.085 &0.067 &0.071 &0.071 &0.021 &0.071 &0.087\\ \hline S5 &0.036 &0.036 &0.067 &0.054 &0 &0.036 &0.035 &0.017 &0.019 &0.054 &0.019 &0.054 &0.038 &0.054 &0.069 &0.052 &0.054 &0.054\\ \hline S6 &0.054 &0.071 &0.069 &0.069 &0.069 &0 &0.069 &0.019 &0.019 &0.052 &0.048 &0.019 &0.022 &0.019 &0.019 &0.019 &0.036 &0.035\\ \hline S7 &0.054 &0.055 &0.069 &0.052 &0.069 &0.071 &0 &0.017 &0.017 &0.054 &0.038 &0.071 &0.069 &0.054 &0.038 &0.021 &0.038 &0.071\\ \hline S8 &0.036 &0.069 &0.033 &0.069 &0.017 &0.054 &0.017 &0 &0.04 &0.017 &0.017 &0.087 &0.017 &0.064 &0.069 &0.017 &0.055 &0.071\\ \hline S9 &0.017 &0.035 &0.017 &0.017 &0.017 &0.017 &0.017 &0.067 &0 &0.069 &0.036 &0.069 &0.017 &0.019 &0.069 &0.022 &0.017 &0.069\\ \hline S10 &0.017 &0.038 &0.035 &0.019 &0.054 &0.035 &0.038 &0.017 &0.021 &0 &0.036 &0.087 &0.036 &0.038 &0.054 &0.036 &0.069 &0.069\\ \hline S11 &0.054 &0.021 &0.05 &0.019 &0.021 &0.036 &0.054 &0.017 &0.017 &0.054 &0 &0.035 &0.036 &0.017 &0.017 &0.071 &0.017 &0.017\\ \hline S12 &0.021 &0.069 &0.017 &0.017 &0.021 &0.021 &0.022 &0.017 &0.017 &0.052 &0.022 &0 &0.017 &0.055 &0.087 &0.017 &0.05 &0.081\\ \hline S13 &0.035 &0.036 &0.017 &0.017 &0.036 &0.033 &0.069 &0.017 &0.017 &0.035 &0.033 &0.069 &0 &0.017 &0.038 &0.017 &0.033 &0.054\\ \hline S14 &0.036 &0.067 &0.017 &0.017 &0.017 &0.017 &0.036 &0.017 &0.033 &0.021 &0.017 &0.071 &0.055 &0 &0.078 &0.054 &0.069 &0.073\\ \hline S15 &0.017 &0.038 &0.019 &0.017 &0.052 &0.017 &0.019 &0.017 &0.019 &0.038 &0.019 &0.048 &0.036 &0.054 &0 &0.021 &0.033 &0.033\\ \hline S16 &0.069 &0.069 &0.069 &0.052 &0.069 &0.052 &0.069 &0.017 &0.017 &0.052 &0.071 &0.017 &0.017 &0.017 &0.017 &0 &0.017 &0.021\\ \hline S17 &0.052 &0.069 &0.066 &0.019 &0.036 &0.069 &0.069 &0.017 &0.017 &0.035 &0.033 &0.017 &0.019 &0.021 &0.035 &0.017 &0 &0.067\\ \hline S18 &0.036 &0.036 &0.048 &0.017 &0.052 &0.069 &0.069 &0.017 &0.033 &0.035 &0.048 &0.017 &0.035 &0.036 &0.05 &0.033 &0.069 &0\\ \hline \end{array} $$

综合影响矩阵求解过程



  综合影响矩阵如下

$T=\mathcal{N}(I-\mathcal{N})^{-1}$

$$T=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{18 \times18}} &S1 &S2 &S3 &S4 &S5 &S6 &S7 &S8 &S9 &S10 &S11 &S12 &S13 &S14 &S15 &S16 &S17 &S18\\ \hline S1 &0.136 &0.227 &0.214 &0.16 &0.22 &0.209 &0.198 &0.082 &0.09 &0.215 &0.199 &0.199 &0.206 &0.165 &0.248 &0.188 &0.16 &0.189\\ \hline S2 &0.175 &0.138 &0.155 &0.184 &0.161 &0.19 &0.173 &0.075 &0.08 &0.163 &0.119 &0.146 &0.129 &0.137 &0.205 &0.146 &0.17 &0.21\\ \hline S3 &0.223 &0.206 &0.151 &0.193 &0.239 &0.236 &0.206 &0.085 &0.122 &0.227 &0.194 &0.176 &0.199 &0.143 &0.241 &0.206 &0.199 &0.241\\ \hline S4 &0.124 &0.197 &0.125 &0.092 &0.137 &0.136 &0.135 &0.071 &0.079 &0.183 &0.108 &0.198 &0.161 &0.163 &0.205 &0.111 &0.185 &0.223\\ \hline S5 &0.141 &0.165 &0.174 &0.147 &0.118 &0.152 &0.15 &0.067 &0.078 &0.171 &0.114 &0.169 &0.137 &0.147 &0.202 &0.144 &0.166 &0.19\\ \hline S6 &0.158 &0.194 &0.177 &0.165 &0.183 &0.118 &0.18 &0.069 &0.076 &0.17 &0.14 &0.137 &0.125 &0.114 &0.154 &0.115 &0.149 &0.171\\ \hline S7 &0.173 &0.201 &0.193 &0.161 &0.2 &0.202 &0.135 &0.075 &0.084 &0.189 &0.145 &0.202 &0.182 &0.161 &0.194 &0.13 &0.17 &0.227\\ \hline S8 &0.138 &0.196 &0.137 &0.16 &0.129 &0.164 &0.13 &0.051 &0.096 &0.134 &0.108 &0.197 &0.114 &0.157 &0.203 &0.108 &0.168 &0.207\\ \hline S9 &0.096 &0.133 &0.099 &0.089 &0.104 &0.105 &0.104 &0.104 &0.046 &0.156 &0.105 &0.159 &0.091 &0.095 &0.172 &0.092 &0.107 &0.173\\ \hline S10 &0.114 &0.155 &0.135 &0.105 &0.157 &0.14 &0.144 &0.063 &0.074 &0.109 &0.12 &0.187 &0.124 &0.124 &0.175 &0.12 &0.171 &0.193\\ \hline S11 &0.135 &0.121 &0.136 &0.095 &0.114 &0.127 &0.142 &0.056 &0.062 &0.145 &0.077 &0.124 &0.113 &0.089 &0.12 &0.142 &0.103 &0.122\\ \hline S12 &0.103 &0.167 &0.103 &0.092 &0.112 &0.113 &0.114 &0.057 &0.064 &0.141 &0.095 &0.092 &0.095 &0.129 &0.189 &0.091 &0.14 &0.187\\ \hline S13 &0.115 &0.135 &0.103 &0.091 &0.125 &0.122 &0.155 &0.056 &0.061 &0.125 &0.104 &0.157 &0.077 &0.092 &0.141 &0.088 &0.12 &0.158\\ \hline S14 &0.131 &0.182 &0.117 &0.103 &0.123 &0.124 &0.142 &0.064 &0.084 &0.127 &0.102 &0.172 &0.141 &0.086 &0.197 &0.134 &0.168 &0.194\\ \hline S15 &0.087 &0.122 &0.091 &0.08 &0.125 &0.093 &0.095 &0.051 &0.057 &0.114 &0.079 &0.126 &0.1 &0.115 &0.092 &0.083 &0.109 &0.125\\ \hline S16 &0.175 &0.194 &0.18 &0.151 &0.185 &0.169 &0.182 &0.067 &0.075 &0.172 &0.164 &0.135 &0.121 &0.113 &0.152 &0.099 &0.13 &0.157\\ \hline S17 &0.151 &0.184 &0.168 &0.112 &0.147 &0.178 &0.175 &0.063 &0.071 &0.144 &0.121 &0.123 &0.113 &0.107 &0.157 &0.106 &0.105 &0.19\\ \hline S18 &0.138 &0.157 &0.154 &0.11 &0.162 &0.178 &0.177 &0.065 &0.087 &0.147 &0.137 &0.128 &0.129 &0.124 &0.173 &0.121 &0.172 &0.13\\ \hline \end{array} $$