DEMATEL-AHDT决策实验室与对抗哈斯图联用

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_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0 &0 &0 &0 &0 &0 &2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &4 &0 &0 &0 &0 &0 &0 &0\\ \hline A2 &17 &0 &16 &17 &0 &1 &6 &5 &13 &4 &13 &0 &0 &0 &0 &0 &3 &0 &3 &0 &0 &9 &0 &0\\ \hline A3 &16 &12 &0 &13 &6 &8 &18 &0 &11 &0 &14 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &8 &0\\ \hline A4 &17 &11 &7 &0 &2 &0 &14 &6 &9 &3 &13 &0 &0 &0 &0 &0 &8 &9 &0 &0 &0 &0 &0 &0\\ \hline B1 &11 &3 &4 &2 &0 &9 &3 &0 &3 &0 &3 &0 &0 &0 &0 &0 &0 &0 &0 &7 &0 &0 &0 &0\\ \hline B2 &12 &1 &3 &0 &16 &0 &12 &0 &11 &11 &6 &0 &7 &0 &8 &6 &0 &0 &9 &7 &0 &0 &0 &0\\ \hline C1 &15 &16 &16 &16 &0 &12 &0 &11 &17 &7 &17 &11 &14 &12 &14 &13 &12 &14 &14 &10 &12 &13 &16 &0\\ \hline C2 &12 &18 &11 &14 &1 &8 &8 &0 &19 &8 &20 &13 &17 &13 &16 &10 &14 &12 &16 &13 &15 &16 &6 &0\\ \hline C3 &16 &14 &14 &20 &8 &17 &14 &17 &0 &15 &8 &12 &8 &16 &12 &9 &14 &12 &20 &16 &14 &7 &0 &0\\ \hline C4 &16 &12 &16 &18 &8 &17 &17 &17 &18 &0 &17 &13 &13 &12 &13 &14 &13 &13 &17 &14 &13 &9 &0 &0\\ \hline C5 &19 &14 &14 &17 &0 &0 &13 &18 &16 &11 &0 &12 &9 &13 &15 &8 &12 &13 &11 &13 &11 &15 &0 &0\\ \hline D1 &18 &18 &14 &18 &0 &14 &13 &16 &18 &13 &18 &0 &19 &14 &17 &13 &20 &20 &17 &18 &20 &13 &0 &3\\ \hline D2 &12 &16 &16 &17 &6 &17 &12 &14 &17 &17 &15 &16 &0 &16 &20 &20 &14 &17 &17 &19 &17 &17 &14 &5\\ \hline D3 &9 &10 &7 &11 &8 &13 &11 &11 &9 &13 &13 &7 &12 &0 &16 &12 &9 &12 &10 &11 &9 &9 &3 &0\\ \hline D4 &6 &11 &4 &6 &10 &19 &17 &8 &7 &12 &9 &5 &9 &8 &0 &11 &4 &11 &6 &8 &7 &7 &0 &0\\ \hline D5 &6 &12 &12 &12 &11 &12 &12 &11 &16 &12 &14 &10 &16 &13 &12 &0 &13 &17 &12 &15 &11 &10 &0 &0\\ \hline E1 &14 &16 &17 &14 &3 &11 &8 &19 &20 &14 &14 &20 &16 &15 &14 &14 &0 &20 &16 &13 &18 &16 &15 &4\\ \hline E2 &13 &17 &20 &17 &12 &18 &10 &14 &17 &13 &17 &16 &17 &14 &16 &15 &12 &0 &17 &16 &7 &12 &0 &0\\ \hline E3 &9 &11 &17 &19 &16 &14 &14 &7 &13 &11 &8 &4 &13 &10 &12 &4 &7 &8 &0 &14 &7 &6 &0 &0\\ \hline E4 &6 &8 &14 &8 &7 &11 &10 &16 &12 &14 &9 &13 &16 &17 &15 &16 &13 &12 &17 &0 &11 &10 &0 &0\\ \hline E5 &14 &17 &14 &13 &7 &9 &13 &15 &16 &12 &14 &16 &14 &15 &13 &11 &20 &18 &15 &15 &0 &15 &17 &13\\ \hline E6 &11 &14 &14 &16 &4 &16 &13 &20 &15 &11 &9 &17 &20 &17 &16 &10 &14 &18 &20 &17 &15 &0 &18 &9\\ \hline F1 &13 &12 &15 &17 &15 &18 &14 &15 &14 &16 &15 &13 &20 &16 &16 &15 &12 &19 &16 &16 &16 &20 &0 &5\\ \hline F2 &11 &16 &16 &14 &16 &17 &17 &20 &17 &16 &16 &20 &15 &16 &15 &16 &20 &20 &18 &15 &15 &20 &20 &0\\ \hline \end{array} $$

规范直接关系矩阵求解过程

$$N=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0 &0 &0 &0 &0 &0 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.013 &0 &0 &0 &0 &0 &0 &0\\ \hline A2 &0.055 &0 &0.052 &0.055 &0 &0.003 &0.019 &0.016 &0.042 &0.013 &0.042 &0 &0 &0 &0 &0 &0.01 &0 &0.01 &0 &0 &0.029 &0 &0\\ \hline A3 &0.052 &0.039 &0 &0.042 &0.019 &0.026 &0.058 &0 &0.036 &0 &0.045 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.026 &0\\ \hline A4 &0.055 &0.036 &0.023 &0 &0.006 &0 &0.045 &0.019 &0.029 &0.01 &0.042 &0 &0 &0 &0 &0 &0.026 &0.029 &0 &0 &0 &0 &0 &0\\ \hline B1 &0.036 &0.01 &0.013 &0.006 &0 &0.029 &0.01 &0 &0.01 &0 &0.01 &0 &0 &0 &0 &0 &0 &0 &0 &0.023 &0 &0 &0 &0\\ \hline B2 &0.039 &0.003 &0.01 &0 &0.052 &0 &0.039 &0 &0.036 &0.036 &0.019 &0 &0.023 &0 &0.026 &0.019 &0 &0 &0.029 &0.023 &0 &0 &0 &0\\ \hline C1 &0.049 &0.052 &0.052 &0.052 &0 &0.039 &0 &0.036 &0.055 &0.023 &0.055 &0.036 &0.045 &0.039 &0.045 &0.042 &0.039 &0.045 &0.045 &0.032 &0.039 &0.042 &0.052 &0\\ \hline C2 &0.039 &0.058 &0.036 &0.045 &0.003 &0.026 &0.026 &0 &0.062 &0.026 &0.065 &0.042 &0.055 &0.042 &0.052 &0.032 &0.045 &0.039 &0.052 &0.042 &0.049 &0.052 &0.019 &0\\ \hline C3 &0.052 &0.045 &0.045 &0.065 &0.026 &0.055 &0.045 &0.055 &0 &0.049 &0.026 &0.039 &0.026 &0.052 &0.039 &0.029 &0.045 &0.039 &0.065 &0.052 &0.045 &0.023 &0 &0\\ \hline C4 &0.052 &0.039 &0.052 &0.058 &0.026 &0.055 &0.055 &0.055 &0.058 &0 &0.055 &0.042 &0.042 &0.039 &0.042 &0.045 &0.042 &0.042 &0.055 &0.045 &0.042 &0.029 &0 &0\\ \hline C5 &0.062 &0.045 &0.045 &0.055 &0 &0 &0.042 &0.058 &0.052 &0.036 &0 &0.039 &0.029 &0.042 &0.049 &0.026 &0.039 &0.042 &0.036 &0.042 &0.036 &0.049 &0 &0\\ \hline D1 &0.058 &0.058 &0.045 &0.058 &0 &0.045 &0.042 &0.052 &0.058 &0.042 &0.058 &0 &0.062 &0.045 &0.055 &0.042 &0.065 &0.065 &0.055 &0.058 &0.065 &0.042 &0 &0.01\\ \hline D2 &0.039 &0.052 &0.052 &0.055 &0.019 &0.055 &0.039 &0.045 &0.055 &0.055 &0.049 &0.052 &0 &0.052 &0.065 &0.065 &0.045 &0.055 &0.055 &0.062 &0.055 &0.055 &0.045 &0.016\\ \hline D3 &0.029 &0.032 &0.023 &0.036 &0.026 &0.042 &0.036 &0.036 &0.029 &0.042 &0.042 &0.023 &0.039 &0 &0.052 &0.039 &0.029 &0.039 &0.032 &0.036 &0.029 &0.029 &0.01 &0\\ \hline D4 &0.019 &0.036 &0.013 &0.019 &0.032 &0.062 &0.055 &0.026 &0.023 &0.039 &0.029 &0.016 &0.029 &0.026 &0 &0.036 &0.013 &0.036 &0.019 &0.026 &0.023 &0.023 &0 &0\\ \hline D5 &0.019 &0.039 &0.039 &0.039 &0.036 &0.039 &0.039 &0.036 &0.052 &0.039 &0.045 &0.032 &0.052 &0.042 &0.039 &0 &0.042 &0.055 &0.039 &0.049 &0.036 &0.032 &0 &0\\ \hline E1 &0.045 &0.052 &0.055 &0.045 &0.01 &0.036 &0.026 &0.062 &0.065 &0.045 &0.045 &0.065 &0.052 &0.049 &0.045 &0.045 &0 &0.065 &0.052 &0.042 &0.058 &0.052 &0.049 &0.013\\ \hline E2 &0.042 &0.055 &0.065 &0.055 &0.039 &0.058 &0.032 &0.045 &0.055 &0.042 &0.055 &0.052 &0.055 &0.045 &0.052 &0.049 &0.039 &0 &0.055 &0.052 &0.023 &0.039 &0 &0\\ \hline E3 &0.029 &0.036 &0.055 &0.062 &0.052 &0.045 &0.045 &0.023 &0.042 &0.036 &0.026 &0.013 &0.042 &0.032 &0.039 &0.013 &0.023 &0.026 &0 &0.045 &0.023 &0.019 &0 &0\\ \hline E4 &0.019 &0.026 &0.045 &0.026 &0.023 &0.036 &0.032 &0.052 &0.039 &0.045 &0.029 &0.042 &0.052 &0.055 &0.049 &0.052 &0.042 &0.039 &0.055 &0 &0.036 &0.032 &0 &0\\ \hline E5 &0.045 &0.055 &0.045 &0.042 &0.023 &0.029 &0.042 &0.049 &0.052 &0.039 &0.045 &0.052 &0.045 &0.049 &0.042 &0.036 &0.065 &0.058 &0.049 &0.049 &0 &0.049 &0.055 &0.042\\ \hline E6 &0.036 &0.045 &0.045 &0.052 &0.013 &0.052 &0.042 &0.065 &0.049 &0.036 &0.029 &0.055 &0.065 &0.055 &0.052 &0.032 &0.045 &0.058 &0.065 &0.055 &0.049 &0 &0.058 &0.029\\ \hline F1 &0.042 &0.039 &0.049 &0.055 &0.049 &0.058 &0.045 &0.049 &0.045 &0.052 &0.049 &0.042 &0.065 &0.052 &0.052 &0.049 &0.039 &0.062 &0.052 &0.052 &0.052 &0.065 &0 &0.016\\ \hline F2 &0.036 &0.052 &0.052 &0.045 &0.052 &0.055 &0.055 &0.065 &0.055 &0.052 &0.052 &0.065 &0.049 &0.052 &0.049 &0.052 &0.065 &0.065 &0.058 &0.049 &0.049 &0.065 &0.065 &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_{24 \times24}} &A1 &A2 &A3 &A4 &B1 &B2 &C1 &C2 &C3 &C4 &C5 &D1 &D2 &D3 &D4 &D5 &E1 &E2 &E3 &E4 &E5 &E6 &F1 &F2\\ \hline A1 &0.004 &0.004 &0.004 &0.004 &0.002 &0.003 &0.01 &0.004 &0.004 &0.003 &0.004 &0.003 &0.004 &0.003 &0.004 &0.003 &0.016 &0.004 &0.004 &0.003 &0.003 &0.003 &0.002 &0.001\\ \hline A2 &0.101 &0.041 &0.09 &0.098 &0.019 &0.036 &0.06 &0.052 &0.084 &0.043 &0.081 &0.029 &0.032 &0.032 &0.034 &0.027 &0.042 &0.035 &0.046 &0.033 &0.029 &0.057 &0.015 &0.004\\ \hline A3 &0.096 &0.075 &0.038 &0.083 &0.037 &0.056 &0.093 &0.033 &0.075 &0.029 &0.082 &0.026 &0.03 &0.029 &0.032 &0.026 &0.031 &0.033 &0.034 &0.031 &0.027 &0.028 &0.039 &0.004\\ \hline A4 &0.1 &0.076 &0.064 &0.045 &0.024 &0.034 &0.082 &0.056 &0.073 &0.041 &0.082 &0.03 &0.034 &0.033 &0.036 &0.029 &0.058 &0.063 &0.038 &0.035 &0.03 &0.031 &0.015 &0.004\\ \hline B1 &0.05 &0.022 &0.025 &0.02 &0.007 &0.039 &0.023 &0.011 &0.024 &0.011 &0.022 &0.009 &0.011 &0.01 &0.011 &0.009 &0.01 &0.01 &0.012 &0.033 &0.009 &0.009 &0.004 &0.001\\ \hline B2 &0.086 &0.046 &0.054 &0.048 &0.075 &0.041 &0.081 &0.039 &0.082 &0.07 &0.062 &0.032 &0.059 &0.036 &0.065 &0.052 &0.036 &0.039 &0.07 &0.062 &0.033 &0.032 &0.015 &0.004\\ \hline C1 &0.191 &0.184 &0.184 &0.195 &0.07 &0.157 &0.13 &0.155 &0.199 &0.132 &0.187 &0.133 &0.16 &0.148 &0.165 &0.14 &0.148 &0.165 &0.17 &0.15 &0.138 &0.142 &0.099 &0.017\\ \hline C2 &0.184 &0.192 &0.171 &0.192 &0.073 &0.146 &0.157 &0.124 &0.208 &0.137 &0.197 &0.142 &0.171 &0.154 &0.174 &0.133 &0.157 &0.161 &0.179 &0.162 &0.15 &0.153 &0.07 &0.018\\ \hline C3 &0.186 &0.169 &0.169 &0.197 &0.091 &0.164 &0.166 &0.164 &0.138 &0.148 &0.152 &0.129 &0.134 &0.151 &0.151 &0.121 &0.146 &0.149 &0.179 &0.16 &0.136 &0.115 &0.046 &0.015\\ \hline C4 &0.197 &0.174 &0.186 &0.203 &0.095 &0.174 &0.185 &0.175 &0.205 &0.11 &0.189 &0.141 &0.159 &0.149 &0.164 &0.144 &0.153 &0.163 &0.181 &0.164 &0.142 &0.13 &0.05 &0.017\\ \hline C5 &0.188 &0.165 &0.164 &0.183 &0.06 &0.107 &0.156 &0.165 &0.181 &0.131 &0.121 &0.127 &0.133 &0.139 &0.155 &0.114 &0.137 &0.149 &0.147 &0.146 &0.125 &0.137 &0.046 &0.015\\ \hline D1 &0.227 &0.216 &0.204 &0.228 &0.082 &0.185 &0.195 &0.194 &0.231 &0.171 &0.215 &0.12 &0.198 &0.175 &0.198 &0.16 &0.194 &0.206 &0.204 &0.197 &0.182 &0.162 &0.061 &0.03\\ \hline D2 &0.217 &0.218 &0.218 &0.234 &0.108 &0.205 &0.202 &0.196 &0.237 &0.191 &0.215 &0.175 &0.149 &0.189 &0.216 &0.188 &0.183 &0.206 &0.212 &0.209 &0.18 &0.18 &0.106 &0.037\\ \hline D3 &0.142 &0.137 &0.128 &0.148 &0.081 &0.136 &0.137 &0.13 &0.144 &0.127 &0.147 &0.101 &0.13 &0.087 &0.146 &0.117 &0.115 &0.133 &0.131 &0.129 &0.108 &0.108 &0.048 &0.013\\ \hline D4 &0.111 &0.119 &0.098 &0.11 &0.076 &0.136 &0.135 &0.101 &0.116 &0.107 &0.114 &0.078 &0.102 &0.094 &0.078 &0.098 &0.082 &0.11 &0.1 &0.101 &0.085 &0.086 &0.031 &0.01\\ \hline D5 &0.152 &0.161 &0.162 &0.171 &0.098 &0.148 &0.157 &0.146 &0.185 &0.138 &0.167 &0.123 &0.157 &0.142 &0.15 &0.093 &0.142 &0.164 &0.154 &0.157 &0.127 &0.124 &0.046 &0.015\\ \hline E1 &0.218 &0.213 &0.216 &0.221 &0.095 &0.181 &0.183 &0.207 &0.24 &0.177 &0.207 &0.184 &0.193 &0.182 &0.193 &0.166 &0.136 &0.21 &0.205 &0.186 &0.179 &0.174 &0.107 &0.034\\ \hline E2 &0.19 &0.19 &0.2 &0.202 &0.109 &0.179 &0.166 &0.167 &0.204 &0.152 &0.191 &0.15 &0.171 &0.156 &0.174 &0.149 &0.15 &0.123 &0.182 &0.171 &0.125 &0.14 &0.05 &0.016\\ \hline E3 &0.132 &0.128 &0.147 &0.16 &0.099 &0.128 &0.137 &0.105 &0.143 &0.11 &0.12 &0.081 &0.12 &0.107 &0.121 &0.082 &0.098 &0.108 &0.087 &0.125 &0.091 &0.088 &0.035 &0.011\\ \hline E4 &0.151 &0.15 &0.168 &0.16 &0.087 &0.147 &0.152 &0.161 &0.174 &0.145 &0.153 &0.133 &0.159 &0.156 &0.161 &0.143 &0.143 &0.15 &0.171 &0.111 &0.129 &0.125 &0.047 &0.016\\ \hline E5 &0.216 &0.215 &0.206 &0.216 &0.107 &0.174 &0.197 &0.194 &0.227 &0.17 &0.206 &0.172 &0.186 &0.181 &0.189 &0.157 &0.196 &0.204 &0.2 &0.191 &0.123 &0.171 &0.115 &0.062\\ \hline E6 &0.21 &0.209 &0.209 &0.228 &0.101 &0.199 &0.2 &0.211 &0.227 &0.17 &0.194 &0.176 &0.208 &0.19 &0.201 &0.157 &0.18 &0.206 &0.219 &0.2 &0.172 &0.127 &0.119 &0.05\\ \hline F1 &0.217 &0.202 &0.212 &0.23 &0.134 &0.205 &0.204 &0.196 &0.224 &0.185 &0.212 &0.164 &0.207 &0.186 &0.201 &0.171 &0.174 &0.208 &0.206 &0.198 &0.174 &0.187 &0.063 &0.037\\ \hline F2 &0.236 &0.239 &0.24 &0.248 &0.15 &0.224 &0.235 &0.234 &0.26 &0.205 &0.24 &0.204 &0.214 &0.207 &0.22 &0.192 &0.219 &0.234 &0.236 &0.216 &0.191 &0.207 &0.135 &0.025\\ \hline \end{array} $$

影响度 $D$	$$ D_i=\sum \limits_{j=1}^{n}{t_{ij}},(i=1,2,3,\cdots,n) $$
被影响度 $C$	$$ C_i=\sum \limits_{j=1}^{n}{t_{ji}},(i=1,2,3,\cdots,n) $$
中心度 $M$	$$ M_i=D_i+C_i $$
原因度 $ R$	$$ R_i=D_i-C_i $$

结果优先——UP型抽取过程	原因优先——DOWN型抽取过程
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline A1&A1,F2&A1 \\\hline A2&A2,A4&A2 \\\hline A3&A3,A4&A3 \\\hline A4&A4,F1,F2&A4 \\\hline B1&A1,B1,B2,D1&B1 \\\hline B2&A2,A3,B2&B2 \\\hline C1&C1,C3,E1,E6&C1 \\\hline C2&C2,D1,E2&C2 \\\hline C3&C3,D2&C3 \\\hline C4&C4,D1,D2,E1&C4 \\\hline C5&C2,C5&C5 \\\hline D1&D1,E5&D1 \\\hline D2&\color{red}{\fbox{D2}}&\color{red}{\fbox{D2}} \\\hline D3&C1,D3,D5,E3,E4,F1&D3 \\\hline D4&D1,D2,D4,E1,F1&D4 \\\hline D5&C4,D5&D5 \\\hline E1&\color{red}{\fbox{E1}}&\color{red}{\fbox{E1}} \\\hline E2&C3,E1,E2,E5&E2 \\\hline E3&D1,D2,E1,E3&E3 \\\hline E4&C4,C5,E4&E4 \\\hline E5&E5,E6&E5 \\\hline E6&\color{red}{\fbox{E6}}&\color{red}{\fbox{E6}} \\\hline F1&\color{red}{\fbox{F1}}&\color{red}{\fbox{F1}} \\\hline F2&\color{red}{\fbox{F2}}&\color{red}{\fbox{F2}} \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&A1,B1&A1 \\\hline A2&A2,B2&A2 \\\hline A3&A3,B2&A3 \\\hline A4&A2,A3,A4&A4 \\\hline B1&\color{blue}{\fbox{B1}}&\color{blue}{\fbox{B1}} \\\hline B2&B1,B2&B2 \\\hline C1&C1,D3&C1 \\\hline C2&C2,C5&C2 \\\hline C3&C1,C3,E2&C3 \\\hline C4&C4,D5,E4&C4 \\\hline C5&C5,E4&C5 \\\hline D1&B1,C2,C4,D1,D4,E3&D1 \\\hline D2&C3,C4,D2,D4,E3&D2 \\\hline D3&\color{blue}{\fbox{D3}}&\color{blue}{\fbox{D3}} \\\hline D4&\color{blue}{\fbox{D4}}&\color{blue}{\fbox{D4}} \\\hline D5&D3,D5&D5 \\\hline E1&C1,C4,D4,E1,E2,E3&E1 \\\hline E2&C2,E2&E2 \\\hline E3&D3,E3&E3 \\\hline E4&D3,E4&E4 \\\hline E5&D1,E2,E5&E5 \\\hline E6&C1,E5,E6&E6 \\\hline F1&A4,D3,D4,F1&F1 \\\hline F2&A1,A4,F2&F2 \\\hline \end{array} $$
抽取出D2、E1、E6、F1、F2放置上层，删除后剩余的情况如下	抽取出B1,D3,D4放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline A1&\color{red}{\fbox{A1}}&\color{red}{\fbox{A1}} \\\hline A2&A2,A4&A2 \\\hline A3&A3,A4&A3 \\\hline A4&\color{red}{\fbox{A4}}&\color{red}{\fbox{A4}} \\\hline B1&A1,B1,B2,D1&B1 \\\hline B2&A2,A3,B2&B2 \\\hline C1&C1,C3&C1 \\\hline C2&C2,D1,E2&C2 \\\hline C3&\color{red}{\fbox{C3}}&\color{red}{\fbox{C3}} \\\hline C4&C4,D1&C4 \\\hline C5&C2,C5&C5 \\\hline D1&D1,E5&D1 \\\hline D3&C1,D3,D5,E3,E4&D3 \\\hline D4&D1,D4&D4 \\\hline D5&C4,D5&D5 \\\hline E2&C3,E2,E5&E2 \\\hline E3&D1,E3&E3 \\\hline E4&C4,C5,E4&E4 \\\hline E5&\color{red}{\fbox{E5}}&\color{red}{\fbox{E5}} \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A1&\color{blue}{\fbox{A1}}&\color{blue}{\fbox{A1}} \\\hline A2&A2,B2&A2 \\\hline A3&A3,B2&A3 \\\hline A4&A2,A3,A4&A4 \\\hline B2&\color{blue}{\fbox{B2}}&\color{blue}{\fbox{B2}} \\\hline C1&\color{blue}{\fbox{C1}}&\color{blue}{\fbox{C1}} \\\hline C2&C2,C5&C2 \\\hline C3&C1,C3,E2&C3 \\\hline C4&C4,D5,E4&C4 \\\hline C5&C5,E4&C5 \\\hline D1&C2,C4,D1,E3&D1 \\\hline D2&C3,C4,D2,E3&D2 \\\hline D5&\color{blue}{\fbox{D5}}&\color{blue}{\fbox{D5}} \\\hline E1&C1,C4,E1,E2,E3&E1 \\\hline E2&C2,E2&E2 \\\hline E3&\color{blue}{\fbox{E3}}&\color{blue}{\fbox{E3}} \\\hline E4&\color{blue}{\fbox{E4}}&\color{blue}{\fbox{E4}} \\\hline E5&D1,E2,E5&E5 \\\hline E6&C1,E5,E6&E6 \\\hline F1&A4,F1&F1 \\\hline F2&A1,A4,F2&F2 \\\hline \end{array} $$
抽取出A1、A4、C3、E5放置上层，删除后剩余的情况如下	抽取出A1,B2,C1,D5,E3,E4放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline A2&\color{red}{\fbox{A2}}&\color{red}{\fbox{A2}} \\\hline A3&\color{red}{\fbox{A3}}&\color{red}{\fbox{A3}} \\\hline B1&B1,B2,D1&B1 \\\hline B2&A2,A3,B2&B2 \\\hline C1&\color{red}{\fbox{C1}}&\color{red}{\fbox{C1}} \\\hline C2&C2,D1,E2&C2 \\\hline C4&C4,D1&C4 \\\hline C5&C2,C5&C5 \\\hline D1&\color{red}{\fbox{D1}}&\color{red}{\fbox{D1}} \\\hline D3&C1,D3,D5,E3,E4&D3 \\\hline D4&D1,D4&D4 \\\hline D5&C4,D5&D5 \\\hline E2&\color{red}{\fbox{E2}}&\color{red}{\fbox{E2}} \\\hline E3&D1,E3&E3 \\\hline E4&C4,C5,E4&E4 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A2&\color{blue}{\fbox{A2}}&\color{blue}{\fbox{A2}} \\\hline A3&\color{blue}{\fbox{A3}}&\color{blue}{\fbox{A3}} \\\hline A4&A2,A3,A4&A4 \\\hline C2&C2,C5&C2 \\\hline C3&C3,E2&C3 \\\hline C4&\color{blue}{\fbox{C4}}&\color{blue}{\fbox{C4}} \\\hline C5&\color{blue}{\fbox{C5}}&\color{blue}{\fbox{C5}} \\\hline D1&C2,C4,D1&D1 \\\hline D2&C3,C4,D2&D2 \\\hline E1&C4,E1,E2&E1 \\\hline E2&C2,E2&E2 \\\hline E5&D1,E2,E5&E5 \\\hline E6&E5,E6&E6 \\\hline F1&A4,F1&F1 \\\hline F2&A4,F2&F2 \\\hline \end{array} $$
抽取出A2、A3、C1、D1、E2放置上层，删除后剩余的情况如下	抽取出A2,A3,C4,C5放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline B1&B1,B2&B1 \\\hline B2&\color{red}{\fbox{B2}}&\color{red}{\fbox{B2}} \\\hline C2&\color{red}{\fbox{C2}}&\color{red}{\fbox{C2}} \\\hline C4&\color{red}{\fbox{C4}}&\color{red}{\fbox{C4}} \\\hline C5&C2,C5&C5 \\\hline D3&D3,D5,E3,E4&D3 \\\hline D4&\color{red}{\fbox{D4}}&\color{red}{\fbox{D4}} \\\hline D5&C4,D5&D5 \\\hline E3&\color{red}{\fbox{E3}}&\color{red}{\fbox{E3}} \\\hline E4&C4,C5,E4&E4 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline A4&\color{blue}{\fbox{A4}}&\color{blue}{\fbox{A4}} \\\hline C2&\color{blue}{\fbox{C2}}&\color{blue}{\fbox{C2}} \\\hline C3&C3,E2&C3 \\\hline D1&C2,D1&D1 \\\hline D2&C3,D2&D2 \\\hline E1&E1,E2&E1 \\\hline E2&C2,E2&E2 \\\hline E5&D1,E2,E5&E5 \\\hline E6&E5,E6&E6 \\\hline F1&A4,F1&F1 \\\hline F2&A4,F2&F2 \\\hline \end{array} $$
抽取出B2、C2、C4、D4、E3放置上层，删除后剩余的情况如下	抽取出A4,C2放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline B1&\color{red}{\fbox{B1}}&\color{red}{\fbox{B1}} \\\hline C5&\color{red}{\fbox{C5}}&\color{red}{\fbox{C5}} \\\hline D3&D3,D5,E4&D3 \\\hline D5&\color{red}{\fbox{D5}}&\color{red}{\fbox{D5}} \\\hline E4&C5,E4&E4 \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline C3&C3,E2&C3 \\\hline D1&\color{blue}{\fbox{D1}}&\color{blue}{\fbox{D1}} \\\hline D2&C3,D2&D2 \\\hline E1&E1,E2&E1 \\\hline E2&\color{blue}{\fbox{E2}}&\color{blue}{\fbox{E2}} \\\hline E5&D1,E2,E5&E5 \\\hline E6&E5,E6&E6 \\\hline F1&\color{blue}{\fbox{F1}}&\color{blue}{\fbox{F1}} \\\hline F2&\color{blue}{\fbox{F2}}&\color{blue}{\fbox{F2}} \\\hline \end{array} $$
抽取出B1、C5、D5放置上层，删除后剩余的情况如下	抽取出D1,E2,F1,F2放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline D3&D3,E4&D3 \\\hline E4&\color{red}{\fbox{E4}}&\color{red}{\fbox{E4}} \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline C3&\color{blue}{\fbox{C3}}&\color{blue}{\fbox{C3}} \\\hline D2&C3,D2&D2 \\\hline E1&\color{blue}{\fbox{E1}}&\color{blue}{\fbox{E1}} \\\hline E5&\color{blue}{\fbox{E5}}&\color{blue}{\fbox{E5}} \\\hline E6&E5,E6&E6 \\\hline \end{array} $$
抽取出E4放置上层，删除后剩余的情况如下	抽取出C3,E1,E5放置下层，删除后剩余的情况如下
$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} & R_{e} & T_{e} \\\hline D3&\color{red}{\fbox{D3}}&\color{red}{\fbox{D3}} \\\hline \end{array} $$	$$\begin{array} {c\|c\|c\|c\|c\|c\|c\|c}{} &Q_{e} & T_{e} \\\hline D2&\color{blue}{\fbox{D2}}&\color{blue}{\fbox{D2}} \\\hline E6&\color{blue}{\fbox{E6}}&\color{blue}{\fbox{E6}} \\\hline \end{array} $$
抽取出D3放置上层，删除后剩余的情况如下	抽取出D2,E6放置下层，删除后剩余的情况如下

层级	结果优先——UP型	原因优先——DOWN型
第0层	D2,E1,E6,F1,F2	D2,E6
第1层	A1,A4,C3,E5	C3,E1,E5
第2层	A2,A3,C1,D1,E2	D1,E2,F1,F2
第3层	B2,C2,C4,D4,E3	A4,C2
第4层	B1,C5,D5	A2,A3,C4,C5
第5层	E4	A1,B2,C1,D5,E3,E4
第6层	D3	B1,D3,D4

DEMATEL-AHDT

DEMATEL-AHDT(基于中心度和原因度绝对值两列取偏序)流程图如下：

规范化方法选择（参数选择）：

原始矩阵（直接影响矩阵）为

规范直接关系矩阵求解过程

综合影响矩阵求解过程

由综合影响矩阵求影响度D、被影响度C、中心度M、原因度R

求解原理

结果

绘制中心度与原因度建构的散点图图表

对抗哈斯图的求解（AHDT 对抗哈斯图技术）

AHDT对抗哈斯图技术流程图及说明

缩点运算求出缩点可达矩阵R'

对R'进行缩边运算求出骨架矩阵S'

对矩阵S'+I分别进行结果优先与原因优先的层级抽取

抽取的过程如下

抽取方式的结果如下

把骨架矩阵中的回路以首尾相接的菊花链方式代入回去得到一般性骨架矩阵 S

代入一般性骨架矩阵$S$，绘制对抗层级拓扑图

UP型

DOWN型