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
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 &0.06 &0.125 &0.123 &0.085 &0.125 &0.116 &0.107 &0.043 &0.046 &0.119 &0.118 &0.107 &0.121 &0.09 &0.139 &0.109 &0.077 &0.09\\ \hline S2 &0.101 &0.061 &0.082 &0.112 &0.085 &0.109 &0.096 &0.041 &0.042 &0.086 &0.06 &0.073 &0.066 &0.074 &0.114 &0.082 &0.093 &0.117\\ \hline S3 &0.129 &0.104 &0.068 &0.11 &0.137 &0.135 &0.11 &0.044 &0.071 &0.125 &0.111 &0.085 &0.113 &0.069 &0.13 &0.121 &0.106 &0.129\\ \hline S4 &0.062 &0.112 &0.061 &0.04 &0.069 &0.067 &0.067 &0.039 &0.042 &0.105 &0.053 &0.118 &0.095 &0.098 &0.116 &0.056 &0.108 &0.13\\ \hline S5 &0.075 &0.086 &0.1 &0.084 &0.052 &0.08 &0.078 &0.036 &0.041 &0.094 &0.057 &0.094 &0.074 &0.084 &0.114 &0.082 &0.093 &0.103\\ \hline S6 &0.089 &0.11 &0.103 &0.098 &0.105 &0.052 &0.104 &0.037 &0.04 &0.094 &0.079 &0.067 &0.064 &0.057 &0.075 &0.058 &0.079 &0.088\\ \hline S7 &0.096 &0.109 &0.109 &0.089 &0.113 &0.114 &0.06 &0.039 &0.044 &0.103 &0.078 &0.115 &0.105 &0.09 &0.1 &0.065 &0.089 &0.126\\ \hline S8 &0.073 &0.112 &0.072 &0.095 &0.063 &0.091 &0.063 &0.023 &0.057 &0.066 &0.053 &0.118 &0.057 &0.093 &0.115 &0.053 &0.094 &0.117\\ \hline S9 &0.048 &0.071 &0.049 &0.045 &0.052 &0.053 &0.052 &0.07 &0.02 &0.093 &0.059 &0.095 &0.046 &0.049 &0.101 &0.048 &0.054 &0.102\\ \hline S10 &0.057 &0.082 &0.072 &0.053 &0.088 &0.074 &0.077 &0.034 &0.04 &0.048 &0.066 &0.113 &0.067 &0.068 &0.097 &0.066 &0.1 &0.11\\ \hline S11 &0.079 &0.061 &0.078 &0.049 &0.058 &0.069 &0.082 &0.031 &0.033 &0.083 &0.034 &0.067 &0.063 &0.045 &0.059 &0.088 &0.051 &0.059\\ \hline S12 &0.053 &0.098 &0.052 &0.046 &0.057 &0.058 &0.059 &0.031 &0.034 &0.08 &0.05 &0.041 &0.048 &0.077 &0.115 &0.046 &0.08 &0.112\\ \hline S13 &0.063 &0.073 &0.052 &0.046 &0.068 &0.066 &0.093 &0.031 &0.033 &0.068 &0.058 &0.094 &0.034 &0.047 &0.076 &0.045 &0.065 &0.089\\ \hline S14 &0.071 &0.105 &0.058 &0.051 &0.06 &0.061 &0.076 &0.034 &0.049 &0.064 &0.052 &0.101 &0.081 &0.038 &0.115 &0.078 &0.099 &0.112\\ \hline S15 &0.044 &0.068 &0.047 &0.041 &0.073 &0.047 &0.049 &0.029 &0.032 &0.064 &0.041 &0.073 &0.057 &0.07 &0.041 &0.044 &0.06 &0.068\\ \hline S16 &0.102 &0.109 &0.105 &0.086 &0.107 &0.093 &0.105 &0.036 &0.039 &0.095 &0.098 &0.066 &0.06 &0.056 &0.073 &0.044 &0.063 &0.076\\ \hline S17 &0.085 &0.105 &0.098 &0.057 &0.078 &0.104 &0.102 &0.034 &0.038 &0.076 &0.065 &0.06 &0.057 &0.054 &0.081 &0.053 &0.046 &0.107\\ \hline S18 &0.074 &0.082 &0.086 &0.055 &0.09 &0.103 &0.103 &0.035 &0.05 &0.077 &0.078 &0.062 &0.069 &0.067 &0.094 &0.065 &0.1 &0.057\\ \hline \end{array} $$
影响度、被影响度、中心度与原因度
| 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$ | $$ R_i=D_i-C_i $$ |
影响度、被影响度、中心度、原因度
$$\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{18 \times4}} &Di &Ci &Mi &Ri\\ \hline S1 &1.799 &1.362 &3.161 &0.437\\ \hline S2 &1.493 &1.675 &3.167 &-0.182\\ \hline S3 &1.895 &1.413 &3.308 &0.481\\ \hline S4 &1.44 &1.241 &2.68 &0.199\\ \hline S5 &1.428 &1.48 &2.908 &-0.051\\ \hline S6 &1.399 &1.493 &2.892 &-0.094\\ \hline S7 &1.641 &1.481 &3.122 &0.161\\ \hline S8 &1.415 &0.666 &2.082 &0.749\\ \hline S9 &1.109 &0.752 &1.861 &0.358\\ \hline S10 &1.314 &1.541 &2.854 &-0.227\\ \hline S11 &1.09 &1.21 &2.3 &-0.12\\ \hline S12 &1.137 &1.548 &2.685 &-0.412\\ \hline S13 &1.099 &1.276 &2.375 &-0.177\\ \hline S14 &1.304 &1.226 &2.53 &0.078\\ \hline S15 &0.948 &1.755 &2.703 &-0.807\\ \hline S16 &1.413 &1.204 &2.617 &0.208\\ \hline S17 &1.3 &1.457 &2.757 &-0.157\\ \hline S18 &1.349 &1.792 &3.141 &-0.443\\ \hline \end{array} $$