初始概率
$$\begin{array}{c|c|c|c|c|c|c}{M_{17 \times1}} &初始概率 P\\
\hline IC1 &0.63 \\
\hline IC2 &0.58 \\
\hline IC3 &0.74 \\
\hline IC4 &0.68 \\
\hline IC5 &0.50 \\
\hline IC6 &0.56 \\
\hline IC7 &0.43 \\
\hline PE1 &0.38 \\
\hline PE2 &0.72 \\
\hline PE3 &0.64 \\
\hline PE4 &0.54 \\
\hline PE5 &0.44 \\
\hline PE6 &0.58 \\
\hline PE7 &0.32 \\
\hline RE1 &0.73 \\
\hline RE2 &0.24 \\
\hline RE3 &0.36 \\
\hline \end{array} $$
概率关系矩阵
$$R=\begin{array}{c|c|c|c|c|c|c}{M_{17 \times17}} &IC1 &IC2 &IC3 &IC4 &IC5 &IC6 &IC7 &PE1 &PE2 &PE3 &PE4 &PE5 &PE6 &PE7 &RE1 &RE2 &RE3\\
\hline IC1 &0.00 &0.81 &0.23 &0.50 &0.08 &0.11 &0.32 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC2 &0.78 &0.00 &0.29 &0.50 &0.21 &0.18 &0.32 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC3 &0.50 &0.50 &0.00 &0.57 &0.50 &0.50 &0.62 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC4 &0.42 &0.44 &0.64 &0.00 &0.50 &0.93 &0.67 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC5 &0.50 &0.50 &0.50 &0.50 &0.00 &0.97 &0.73 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC6 &0.50 &0.50 &0.50 &0.72 &0.87 &0.00 &0.99 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline IC7 &0.56 &0.62 &0.50 &0.50 &0.73 &0.69 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 &0.00 \\
\hline PE1 &0.68 &0.73 &0.37 &0.32 &0.10 &0.05 &0.36 &0.00 &0.10 &0.42 &0.23 &0.50 &0.50 &0.78 &0.00 &0.00 &0.00 \\
\hline PE2 &0.72 &0.78 &0.50 &0.69 &0.99 &0.81 &0.87 &0.42 &0.00 &0.61 &0.99 &0.50 &0.50 &0.29 &0.00 &0.00 &0.00 \\
\hline PE3 &0.34 &0.37 &0.50 &0.50 &0.62 &0.99 &0.57 &0.31 &0.73 &0.00 &0.82 &0.50 &0.50 &0.08 &0.00 &0.00 &0.00 \\
\hline PE4 &0.32 &0.34 &0.73 &0.58 &0.91 &0.99 &0.81 &0.12 &0.92 &0.58 &0.00 &0.50 &0.62 &0.31 &0.00 &0.00 &0.00 \\
\hline PE5 &0.50 &0.50 &0.50 &0.76 &0.50 &0.99 &0.99 &0.33 &0.50 &0.50 &0.50 &0.00 &0.50 &0.33 &0.00 &0.00 &0.00 \\
\hline PE6 &0.22 &0.23 &0.78 &0.67 &0.73 &0.67 &0.72 &0.99 &0.72 &0.62 &0.77 &0.99 &0.00 &0.12 &0.00 &0.00 &0.00 \\
\hline PE7 &0.74 &0.67 &0.28 &0.50 &0.37 &0.09 &0.27 &0.79 &0.42 &0.23 &0.22 &0.50 &0.23 &0.00 &0.00 &0.00 &0.00 \\
\hline RE1 &0.07 &0.22 &0.72 &0.99 &0.93 &0.99 &0.91 &0.31 &0.78 &0.82 &0.68 &0.82 &0.57 &0.41 &0.00 &0.00 &0.00 \\
\hline RE2 &0.83 &0.73 &0.01 &0.22 &0.21 &0.07 &0.22 &0.88 &0.15 &0.29 &0.12 &0.21 &0.01 &0.83 &0.00 &0.00 &0.00 \\
\hline RE3 &0.57 &0.89 &0.12 &0.23 &0.27 &0.11 &0.12 &0.57 &0.18 &0.35 &0.23 &0.17 &0.43 &0.42 &0.00 &0.00 &0.00 \\
\hline \end{array} $$
交叉影响矩阵的求解
$$ C_{ij}= \frac {1}{1-P_j}[ln( \frac {R_{ij}}{1-R_{ij}} ) - ln(\frac {P_i}{1-P_i} )] $$
$$CIA=\begin{array}{c|c|c|c|c|c|c}{M_{17 \times17}} &IC1 &IC2 &IC3 &IC4 &IC5 &IC6 &IC7 &PE1 &PE2 &PE3 &PE4 &PE5 &PE6 &PE7 &RE1 &RE2 &RE3\\
\hline IC1 &0 &2.185 &-6.694 &-1.663 &-5.949 &-5.961 &-2.256 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC2 &2.548 &0 &-4.685 &-1.009 &-3.295 &-4.18 &-1.889 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC3 &-2.827 &-2.49 &0 &-2.388 &-2.092 &-2.377 &-0.976 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC4 &-2.91 &-2.369 &-0.686 &0 &-1.508 &4.166 &-0.08 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC5 &0 &0 &0 &0 &0 &7.9 &1.745 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC6 &-0.652 &-0.574 &-0.928 &2.198 &3.32 &0 &7.639 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline IC7 &1.414 &1.837 &1.084 &0.881 &2.553 &2.459 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline PE1 &3.36 &3.534 &-0.164 &-0.826 &-3.415 &-5.579 &-0.151 &0 &-6.099 &0.463 &-1.563 &0.874 &1.166 &2.581 &0 &0 &0\\
\hline PE2 &0 &0.765 &-3.633 &-0.451 &7.301 &1.149 &1.678 &-2.044 &0 &-1.381 &7.936 &-1.687 &-2.249 &-2.706 &0 &0 &0\\
\hline PE3 &-3.348 &-2.637 &-2.213 &-1.798 &-0.172 &9.136 &-0.515 &-2.219 &1.497 &0 &2.046 &-1.027 &-1.37 &-4.438 &0 &0 &0\\
\hline PE4 &-2.471 &-1.961 &3.209 &0.508 &4.307 &10.079 &2.263 &-3.472 &8.15 &0.451 &0 &-0.286 &0.784 &-1.412 &0 &0 &0\\
\hline PE5 &0.652 &0.574 &0.928 &4.356 &0.482 &10.992 &8.485 &-0.753 &0.861 &0.67 &0.524 &0 &0.574 &-0.687 &0 &0 &0\\
\hline PE6 &-4.293 &-3.645 &3.627 &1.204 &1.344 &0.876 &1.091 &6.891 &2.22 &0.463 &1.925 &7.629 &0 &-3.405 &0 &0 &0\\
\hline PE7 &4.864 &3.481 &-0.733 &2.356 &0.443 &-3.545 &-0.423 &3.353 &1.539 &-1.263 &-1.113 &1.346 &-1.082 &0 &0 &0 &0\\
\hline RE1 &-9.679 &-5.382 &-0.193 &11.252 &3.184 &8.183 &2.314 &-2.895 &0.968 &1.449 &-0.524 &0.932 &-1.697 &-1.998 &0 &0 &0\\
\hline RE2 &7.401 &5.113 &-13.24 &-0.353 &-0.344 &-3.259 &-0.198 &5.073 &-2.078 &0.715 &-1.826 &-0.308 &-8.196 &4.027 &0 &0 &0\\
\hline RE3 &2.317 &6.348 &-5.45 &-1.978 &-0.839 &-3.444 &-2.486 &1.383 &-3.361 &-0.121 &-1.376 &-1.804 &0.699 &0.371 &0 &0 &0\\
\hline \end{array} $$
交叉影响矩阵转置
$$Ori=\begin{array}{c|c|c|c|c|c|c}{M_{17 \times17}} &IC1 &IC2 &IC3 &IC4 &IC5 &IC6 &IC7 &PE1 &PE2 &PE3 &PE4 &PE5 &PE6 &PE7 &RE1 &RE2 &RE3\\
\hline IC1 &0 &2.54836 &-2.82694 &-2.90958 &0 &-0.65179 &1.41355 &3.36032 &0 &-3.34773 &-2.47058 &0.65179 &-4.29308 &4.86416 &-9.67922 &7.40083 &2.3168\\
\hline IC2 &2.18522 &0 &-2.4904 &-2.36889 &0 &-0.5742 &1.83667 &3.53374 &0.76477 &-2.6371 &-1.96104 &0.5742 &-3.64544 &3.48085 &-5.38164 &5.11262 &6.34787\\
\hline IC3 &-6.69434 &-4.68522 &0 &-0.68618 &0 &-0.92755 &1.08404 &-0.16411 &-3.63254 &-2.21294 &3.20877 &0.92755 &3.62651 &-0.73342 &-0.19293 &-13.24016 &-5.45025\\
\hline IC4 &-1.66318 &-1.00867 &-2.38787 &0 &0 &2.19781 &0.88078 &-0.8257 &-0.45107 &-1.79801 &0.5076 &4.35575 &1.20441 &2.35554 &11.25155 &-0.35308 &-1.97796\\
\hline IC5 &-5.94913 &-3.2954 &-2.09194 &-1.50754 &0 &3.31959 &2.55295 &-3.41535 &7.30132 &-0.17163 &4.30658 &0.48232 &1.3437 &0.44311 &3.18413 &-0.34449 &-0.83852\\
\hline IC6 &-5.96127 &-4.17982 &-2.3772 &4.16572 &7.90022 &0 &2.45902 &-5.5793 &1.14897 &9.13581 &10.07904 &10.99155 &0.87594 &-3.54514 &8.18295 &-3.25911 &-3.44404\\
\hline IC7 &-2.25612 &-1.88868 &-0.97618 &-0.07998 &1.74495 &7.63852 &0 &-0.15055 &1.67807 &-0.51494 &2.26257 &8.48471 &1.09068 &-0.42255 &2.31406 &-0.19822 &-2.48608\\
\hline PE1 &0 &0 &0 &0 &0 &0 &0 &0 &-2.04393 &-2.21852 &-3.47221 &-0.75326 &6.89088 &3.35274 &-2.89474 &5.07276 &1.38261\\
\hline PE2 &0 &0 &0 &0 &0 &0 &0 &-6.09884 &0 &1.49735 &8.15002 &0.86129 &2.22032 &1.53928 &0.96801 &-2.07829 &-3.36065\\
\hline PE3 &0 &0 &0 &0 &0 &0 &0 &0.46326 &-1.38097 &0 &0.4512 &0.66989 &0.46326 &-1.26261 &1.44924 &0.71471 &-0.12132\\
\hline PE4 &0 &0 &0 &0 &0 &0 &0 &-1.56253 &7.93621 &2.04562 &0 &0.52427 &1.92508 &-1.11281 &-0.52359 &-1.82554 &-1.37597\\
\hline PE5 &0 &0 &0 &0 &0 &0 &0 &0.87419 &-1.68654 &-1.02744 &-0.28633 &0 &7.62919 &1.34602 &0.93165 &-0.30758 &-1.80404\\
\hline PE6 &0 &0 &0 &0 &0 &0 &0 &1.16559 &-2.24872 &-1.36991 &0.78382 &0.5742 &0 &-1.08224 &-1.69707 &-8.19629 &0.69884\\
\hline PE7 &0 &0 &0 &0 &0 &0 &0 &2.5812 &-2.70566 &-4.43781 &-1.41244 &-0.6868 &-3.40471 &0 &-1.99792 &4.02692 &0.37146\\
\hline RE1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline RE2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline RE3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline \end{array} $$
对称化矩阵，平移与更改符号得到手性对称矩阵
$$\begin{array} {c|ccccccccccccccccc|ccccccccccccccccc}{M_{34 \times34}} &+IC1 &+IC2 &+IC3 &+IC4 &+IC5 &+IC6 &+IC7 &+PE1 &+PE2 &+PE3 &+PE4 &+PE5 &+PE6 &+PE7 &+RE1 &+RE2 &+RE3 &-IC1 &-IC2 &-IC3 &-IC4 &-IC5 &-IC6 &-IC7 &-PE1 &-PE2 &-PE3 &-PE4 &-PE5 &-PE6 &-PE7 &-RE1 &-RE2 &-RE3\\
\hline
+IC1 &0 &\color{blue}{2.548} &0 &0 &0 &0 &\color{blue}{1.414} &\color{blue}{3.36} &0 &0 &0 &\color{blue}{0.652} &0 &\color{blue}{4.864} &0 &\color{blue}{7.401} &\color{blue}{2.317} &0 &0 &\color{red}{2.827} &\color{red}{2.91} &0 &\color{red}{0.652} &0 &0 &0 &\color{red}{3.348} &\color{red}{2.471} &0 &\color{red}{4.293} &0 &\color{red}{9.679} &0 &0\\
+IC2 &\color{blue}{2.185} &0 &0 &0 &0 &0 &\color{blue}{1.837} &\color{blue}{3.534} &\color{blue}{0.765} &0 &0 &\color{blue}{0.574} &0 &\color{blue}{3.481} &0 &\color{blue}{5.113} &\color{blue}{6.348} &0 &0 &\color{red}{2.49} &\color{red}{2.369} &0 &\color{red}{0.574} &0 &0 &0 &\color{red}{2.637} &\color{red}{1.961} &0 &\color{red}{3.645} &0 &\color{red}{5.382} &0 &0\\
+IC3 &0 &0 &0 &0 &0 &0 &\color{blue}{1.084} &0 &0 &0 &\color{blue}{3.209} &\color{blue}{0.928} &\color{blue}{3.627} &0 &0 &0 &0 &\color{red}{6.694} &\color{red}{4.685} &0 &\color{red}{0.686} &0 &\color{red}{0.928} &0 &\color{red}{0.164} &\color{red}{3.633} &\color{red}{2.213} &0 &0 &0 &\color{red}{0.733} &\color{red}{0.193} &\color{red}{13.24} &\color{red}{5.45}\\
+IC4 &0 &0 &0 &0 &0 &\color{blue}{2.198} &\color{blue}{0.881} &0 &0 &0 &\color{blue}{0.508} &\color{blue}{4.356} &\color{blue}{1.204} &\color{blue}{2.356} &\color{blue}{11.252} &0 &0 &\color{red}{1.663} &\color{red}{1.009} &\color{red}{2.388} &0 &0 &0 &0 &\color{red}{0.826} &\color{red}{0.451} &\color{red}{1.798} &0 &0 &0 &0 &0 &\color{red}{0.353} &\color{red}{1.978}\\
+IC5 &0 &0 &0 &0 &0 &\color{blue}{3.32} &\color{blue}{2.553} &0 &\color{blue}{7.301} &0 &\color{blue}{4.307} &\color{blue}{0.482} &\color{blue}{1.344} &\color{blue}{0.443} &\color{blue}{3.184} &0 &0 &\color{red}{5.949} &\color{red}{3.295} &\color{red}{2.092} &\color{red}{1.508} &0 &0 &0 &\color{red}{3.415} &0 &\color{red}{0.172} &0 &0 &0 &0 &0 &\color{red}{0.344} &\color{red}{0.839}\\
+IC6 &0 &0 &0 &\color{blue}{4.166} &\color{blue}{7.9} &0 &\color{blue}{2.459} &0 &\color{blue}{1.149} &\color{blue}{9.136} &\color{blue}{10.079} &\color{blue}{10.992} &\color{blue}{0.876} &0 &\color{blue}{8.183} &0 &0 &\color{red}{5.961} &\color{red}{4.18} &\color{red}{2.377} &0 &0 &0 &0 &\color{red}{5.579} &0 &0 &0 &0 &0 &\color{red}{3.545} &0 &\color{red}{3.259} &\color{red}{3.444}\\
+IC7 &0 &0 &0 &0 &\color{blue}{1.745} &\color{blue}{7.639} &0 &0 &\color{blue}{1.678} &0 &\color{blue}{2.263} &\color{blue}{8.485} &\color{blue}{1.091} &0 &\color{blue}{2.314} &0 &0 &\color{red}{2.256} &\color{red}{1.889} &\color{red}{0.976} &\color{red}{0.08} &0 &0 &0 &\color{red}{0.151} &0 &\color{red}{0.515} &0 &0 &0 &\color{red}{0.423} &0 &\color{red}{0.198} &\color{red}{2.486}\\
+PE1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{6.891} &\color{blue}{3.353} &0 &\color{blue}{5.073} &\color{blue}{1.383} &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.044} &\color{red}{2.219} &\color{red}{3.472} &\color{red}{0.753} &0 &0 &\color{red}{2.895} &0 &0\\
+PE2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{1.497} &\color{blue}{8.15} &\color{blue}{0.861} &\color{blue}{2.22} &\color{blue}{1.539} &\color{blue}{0.968} &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{6.099} &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.078} &\color{red}{3.361}\\
+PE3 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{0.463} &0 &0 &\color{blue}{0.451} &\color{blue}{0.67} &\color{blue}{0.463} &0 &\color{blue}{1.449} &\color{blue}{0.715} &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.381} &0 &0 &0 &0 &\color{red}{1.263} &0 &0 &\color{red}{0.121}\\
+PE4 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{7.936} &\color{blue}{2.046} &0 &\color{blue}{0.524} &\color{blue}{1.925} &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.563} &0 &0 &0 &0 &0 &\color{red}{1.113} &\color{red}{0.524} &\color{red}{1.826} &\color{red}{1.376}\\
+PE5 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{0.874} &0 &0 &0 &0 &\color{blue}{7.629} &\color{blue}{1.346} &\color{blue}{0.932} &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.687} &\color{red}{1.027} &\color{red}{0.286} &0 &0 &0 &0 &\color{red}{0.308} &\color{red}{1.804}\\
+PE6 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{1.166} &0 &0 &\color{blue}{0.784} &\color{blue}{0.574} &0 &0 &0 &0 &\color{blue}{0.699} &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.249} &\color{red}{1.37} &0 &0 &0 &\color{red}{1.082} &\color{red}{1.697} &\color{red}{8.196} &0\\
+PE7 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{2.581} &0 &0 &0 &0 &0 &0 &0 &\color{blue}{4.027} &\color{blue}{0.371} &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.706} &\color{red}{4.438} &\color{red}{1.412} &\color{red}{0.687} &\color{red}{3.405} &0 &\color{red}{1.998} &0 &0\\
+RE1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
+RE2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
+RE3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline
-IC1 &0 &0 &\color{red}{2.827} &\color{red}{2.91} &0 &\color{red}{0.652} &0 &0 &0 &\color{red}{3.348} &\color{red}{2.471} &0 &\color{red}{4.293} &0 &\color{red}{9.679} &0 &0 &0 &\color{blue}{2.548} &0 &0 &0 &0 &\color{blue}{1.414} &\color{blue}{3.36} &0 &0 &0 &\color{blue}{0.652} &0 &\color{blue}{4.864} &0 &\color{blue}{7.401} &\color{blue}{2.317}\\
-IC2 &0 &0 &\color{red}{2.49} &\color{red}{2.369} &0 &\color{red}{0.574} &0 &0 &0 &\color{red}{2.637} &\color{red}{1.961} &0 &\color{red}{3.645} &0 &\color{red}{5.382} &0 &0 &\color{blue}{2.185} &0 &0 &0 &0 &0 &\color{blue}{1.837} &\color{blue}{3.534} &\color{blue}{0.765} &0 &0 &\color{blue}{0.574} &0 &\color{blue}{3.481} &0 &\color{blue}{5.113} &\color{blue}{6.348}\\
-IC3 &\color{red}{6.694} &\color{red}{4.685} &0 &\color{red}{0.686} &0 &\color{red}{0.928} &0 &\color{red}{0.164} &\color{red}{3.633} &\color{red}{2.213} &0 &0 &0 &\color{red}{0.733} &\color{red}{0.193} &\color{red}{13.24} &\color{red}{5.45} &0 &0 &0 &0 &0 &0 &\color{blue}{1.084} &0 &0 &0 &\color{blue}{3.209} &\color{blue}{0.928} &\color{blue}{3.627} &0 &0 &0 &0\\
-IC4 &\color{red}{1.663} &\color{red}{1.009} &\color{red}{2.388} &0 &0 &0 &0 &\color{red}{0.826} &\color{red}{0.451} &\color{red}{1.798} &0 &0 &0 &0 &0 &\color{red}{0.353} &\color{red}{1.978} &0 &0 &0 &0 &0 &\color{blue}{2.198} &\color{blue}{0.881} &0 &0 &0 &\color{blue}{0.508} &\color{blue}{4.356} &\color{blue}{1.204} &\color{blue}{2.356} &\color{blue}{11.252} &0 &0\\
-IC5 &\color{red}{5.949} &\color{red}{3.295} &\color{red}{2.092} &\color{red}{1.508} &0 &0 &0 &\color{red}{3.415} &0 &\color{red}{0.172} &0 &0 &0 &0 &0 &\color{red}{0.344} &\color{red}{0.839} &0 &0 &0 &0 &0 &\color{blue}{3.32} &\color{blue}{2.553} &0 &\color{blue}{7.301} &0 &\color{blue}{4.307} &\color{blue}{0.482} &\color{blue}{1.344} &\color{blue}{0.443} &\color{blue}{3.184} &0 &0\\
-IC6 &\color{red}{5.961} &\color{red}{4.18} &\color{red}{2.377} &0 &0 &0 &0 &\color{red}{5.579} &0 &0 &0 &0 &0 &\color{red}{3.545} &0 &\color{red}{3.259} &\color{red}{3.444} &0 &0 &0 &\color{blue}{4.166} &\color{blue}{7.9} &0 &\color{blue}{2.459} &0 &\color{blue}{1.149} &\color{blue}{9.136} &\color{blue}{10.079} &\color{blue}{10.992} &\color{blue}{0.876} &0 &\color{blue}{8.183} &0 &0\\
-IC7 &\color{red}{2.256} &\color{red}{1.889} &\color{red}{0.976} &\color{red}{0.08} &0 &0 &0 &\color{red}{0.151} &0 &\color{red}{0.515} &0 &0 &0 &\color{red}{0.423} &0 &\color{red}{0.198} &\color{red}{2.486} &0 &0 &0 &0 &\color{blue}{1.745} &\color{blue}{7.639} &0 &0 &\color{blue}{1.678} &0 &\color{blue}{2.263} &\color{blue}{8.485} &\color{blue}{1.091} &0 &\color{blue}{2.314} &0 &0\\
-PE1 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.044} &\color{red}{2.219} &\color{red}{3.472} &\color{red}{0.753} &0 &0 &\color{red}{2.895} &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{6.891} &\color{blue}{3.353} &0 &\color{blue}{5.073} &\color{blue}{1.383}\\
-PE2 &0 &0 &0 &0 &0 &0 &0 &\color{red}{6.099} &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.078} &\color{red}{3.361} &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{1.497} &\color{blue}{8.15} &\color{blue}{0.861} &\color{blue}{2.22} &\color{blue}{1.539} &\color{blue}{0.968} &0 &0\\
-PE3 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.381} &0 &0 &0 &0 &\color{red}{1.263} &0 &0 &\color{red}{0.121} &0 &0 &0 &0 &0 &0 &0 &\color{blue}{0.463} &0 &0 &\color{blue}{0.451} &\color{blue}{0.67} &\color{blue}{0.463} &0 &\color{blue}{1.449} &\color{blue}{0.715} &0\\
-PE4 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.563} &0 &0 &0 &0 &0 &\color{red}{1.113} &\color{red}{0.524} &\color{red}{1.826} &\color{red}{1.376} &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{7.936} &\color{blue}{2.046} &0 &\color{blue}{0.524} &\color{blue}{1.925} &0 &0 &0 &0\\
-PE5 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{1.687} &\color{red}{1.027} &\color{red}{0.286} &0 &0 &0 &0 &\color{red}{0.308} &\color{red}{1.804} &0 &0 &0 &0 &0 &0 &0 &\color{blue}{0.874} &0 &0 &0 &0 &\color{blue}{7.629} &\color{blue}{1.346} &\color{blue}{0.932} &0 &0\\
-PE6 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.249} &\color{red}{1.37} &0 &0 &0 &\color{red}{1.082} &\color{red}{1.697} &\color{red}{8.196} &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{1.166} &0 &0 &\color{blue}{0.784} &\color{blue}{0.574} &0 &0 &0 &0 &\color{blue}{0.699}\\
-PE7 &0 &0 &0 &0 &0 &0 &0 &0 &\color{red}{2.706} &\color{red}{4.438} &\color{red}{1.412} &\color{red}{0.687} &\color{red}{3.405} &0 &\color{red}{1.998} &0 &0 &0 &0 &0 &0 &0 &0 &0 &\color{blue}{2.581} &0 &0 &0 &0 &0 &0 &0 &\color{blue}{4.027} &\color{blue}{0.371}\\
-RE1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
-RE2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
-RE3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline \end{array} $$
基于截距的聚类分析
手性对称矩阵的阈值集合$\ddot \Delta $ 得出对应 56个结构。
| 序号 | 阈值集合中——特征阈值 | 聚类特征-对应截距$\lambda $数值区段 | ISM运算过程 |
|---|---|---|---|
| 1 | 0.07998 | 0<$\lambda$<0.08 | |
| 2 | 0.87419 | 0.08<$\lambda$<0.8742 | |
| 3 | 1.38261 | 0.8742<$\lambda$<1.3826 | |
| 4 | 1.49735 | 1.3826<$\lambda$<1.4974 | |
| 5 | 2.21294 | 1.4974<$\lambda$<2.2129 | |
| 6 | 2.25612 | 2.2129<$\lambda$<2.2561 | |
| 7 | 2.45902 | 2.2561<$\lambda$<2.459 | |
| 8 | 2.54836 | 2.459<$\lambda$<2.5484 | |
| 9 | 2.5812 | 2.5484<$\lambda$<2.5812 | |
| 10 | 2.82694 | 2.5812<$\lambda$<2.8269 | |
| 11 | 2.89474 | 2.8269<$\lambda$<2.8947 | |
| 12 | 2.90958 | 2.8947<$\lambda$<2.9096 | |
| 13 | 3.18413 | 2.9096<$\lambda$<3.1841 | |
| 14 | 3.34773 | 3.1841<$\lambda$<3.3477 | |
| 15 | 3.36032 | 3.3477<$\lambda$<3.3603 | |
| 16 | 3.36065 | 3.3603<$\lambda$<3.3607 | |
| 17 | 3.40471 | 3.3607<$\lambda$<3.4047 | |
| 18 | 3.41535 | 3.4047<$\lambda$<3.4154 | |
| 19 | 3.48085 | 3.4154<$\lambda$<3.4808 | |
| 20 | 3.53374 | 3.4808<$\lambda$<3.5337 | |
| 21 | 3.54514 | 3.5337<$\lambda$<3.5451 | |
| 22 | 3.64544 | 3.5451<$\lambda$<3.6454 | |
| 23 | 4.02692 | 3.6454<$\lambda$<4.0269 | |
| 24 | 4.16572 | 4.0269<$\lambda$<4.1657 | |
| 25 | 4.17982 | 4.1657<$\lambda$<4.1798 | |
| 26 | 4.29308 | 4.1798<$\lambda$<4.2931 | |
| 27 | 4.30658 | 4.2931<$\lambda$<4.3066 | |
| 28 | 4.43781 | 4.3066<$\lambda$<4.4378 | |
| 29 | 4.68522 | 4.4378<$\lambda$<4.6852 | |
| 30 | 4.86416 | 4.6852<$\lambda$<4.8642 | |
| 31 | 5.07276 | 4.8642<$\lambda$<5.0728 | |
| 32 | 5.11262 | 5.0728<$\lambda$<5.1126 | |
| 33 | 5.38164 | 5.1126<$\lambda$<5.3816 | |
| 34 | 5.45025 | 5.3816<$\lambda$<5.4503 | |
| 35 | 5.5793 | 5.4503<$\lambda$<5.5793 | |
| 36 | 5.96127 | 5.5793<$\lambda$<5.9613 | |
| 37 | 6.09884 | 5.9613<$\lambda$<6.0988 | |
| 38 | 6.34787 | 6.0988<$\lambda$<6.3479 | |
| 39 | 6.69434 | 6.3479<$\lambda$<6.6943 | |
| 40 | 6.89088 | 6.6943<$\lambda$<6.8909 | |
| 41 | 7.30132 | 6.8909<$\lambda$<7.3013 | |
| 42 | 7.40083 | 7.3013<$\lambda$<7.4008 | |
| 43 | 7.62919 | 7.4008<$\lambda$<7.6292 | |
| 44 | 7.63852 | 7.6292<$\lambda$<7.6385 | |
| 45 | 7.90022 | 7.6385<$\lambda$<7.9002 | |
| 46 | 7.93621 | 7.9002<$\lambda$<7.9362 | |
| 47 | 8.15002 | 7.9362<$\lambda$<8.15 | |
| 48 | 8.18295 | 8.15<$\lambda$<8.1829 | |
| 49 | 8.19629 | 8.1829<$\lambda$<8.1963 | |
| 50 | 8.48471 | 8.1963<$\lambda$<8.4847 | |
| 51 | 9.13581 | 8.4847<$\lambda$<9.1358 | |
| 52 | 9.67922 | 9.1358<$\lambda$<9.6792 | |
| 53 | 10.07904 | 9.6792<$\lambda$<10.079 | |
| 54 | 10.99155 | 10.079<$\lambda$<10.9915 | |
| 55 | 11.25155 | 10.9915<$\lambda$<11.2516 | |
| 56 | 13.24016 | 11.2516<$\lambda$<13.2402 |
取绝对值，不进行平移对称化矩阵如下：
$$ABS-ORI=\begin{array}{c|c|c|c|c|c|c}{M_{17 \times17}} &IC1 &IC2 &IC3 &IC4 &IC5 &IC6 &IC7 &PE1 &PE2 &PE3 &PE4 &PE5 &PE6 &PE7 &RE1 &RE2 &RE3\\
\hline IC1 &0 &2.54836 &2.82694 &2.90958 &0 &0.65179 &1.41355 &3.36032 &0 &3.34773 &2.47058 &0.65179 &4.29308 &4.86416 &9.67922 &7.40083 &2.3168\\
\hline IC2 &2.18522 &0 &2.4904 &2.36889 &0 &0.5742 &1.83667 &3.53374 &0.76477 &2.6371 &1.96104 &0.5742 &3.64544 &3.48085 &5.38164 &5.11262 &6.34787\\
\hline IC3 &6.69434 &4.68522 &0 &0.68618 &0 &0.92755 &1.08404 &0.16411 &3.63254 &2.21294 &3.20877 &0.92755 &3.62651 &0.73342 &0.19293 &13.24016 &5.45025\\
\hline IC4 &1.66318 &1.00867 &2.38787 &0 &0 &2.19781 &0.88078 &0.8257 &0.45107 &1.79801 &0.5076 &4.35575 &1.20441 &2.35554 &11.25155 &0.35308 &1.97796\\
\hline IC5 &5.94913 &3.2954 &2.09194 &1.50754 &0 &3.31959 &2.55295 &3.41535 &7.30132 &0.17163 &4.30658 &0.48232 &1.3437 &0.44311 &3.18413 &0.34449 &0.83852\\
\hline IC6 &5.96127 &4.17982 &2.3772 &4.16572 &7.90022 &0 &2.45902 &5.5793 &1.14897 &9.13581 &10.07904 &10.99155 &0.87594 &3.54514 &8.18295 &3.25911 &3.44404\\
\hline IC7 &2.25612 &1.88868 &0.97618 &0.07998 &1.74495 &7.63852 &0 &0.15055 &1.67807 &0.51494 &2.26257 &8.48471 &1.09068 &0.42255 &2.31406 &0.19822 &2.48608\\
\hline PE1 &0 &0 &0 &0 &0 &0 &0 &0 &2.04393 &2.21852 &3.47221 &0.75326 &6.89088 &3.35274 &2.89474 &5.07276 &1.38261\\
\hline PE2 &0 &0 &0 &0 &0 &0 &0 &6.09884 &0 &1.49735 &8.15002 &0.86129 &2.22032 &1.53928 &0.96801 &2.07829 &3.36065\\
\hline PE3 &0 &0 &0 &0 &0 &0 &0 &0.46326 &1.38097 &0 &0.4512 &0.66989 &0.46326 &1.26261 &1.44924 &0.71471 &0.12132\\
\hline PE4 &0 &0 &0 &0 &0 &0 &0 &1.56253 &7.93621 &2.04562 &0 &0.52427 &1.92508 &1.11281 &0.52359 &1.82554 &1.37597\\
\hline PE5 &0 &0 &0 &0 &0 &0 &0 &0.87419 &1.68654 &1.02744 &0.28633 &0 &7.62919 &1.34602 &0.93165 &0.30758 &1.80404\\
\hline PE6 &0 &0 &0 &0 &0 &0 &0 &1.16559 &2.24872 &1.36991 &0.78382 &0.5742 &0 &1.08224 &1.69707 &8.19629 &0.69884\\
\hline PE7 &0 &0 &0 &0 &0 &0 &0 &2.5812 &2.70566 &4.43781 &1.41244 &0.6868 &3.40471 &0 &1.99792 &4.02692 &0.37146\\
\hline RE1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline RE2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline RE3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\
\hline \end{array} $$
基于截距的聚类分析
手性对称矩阵的阈值集合$\ddot \Delta $ 得出对应 56个结构。
| 序号 | 阈值集合中——特征阈值 | 聚类特征-对应截距$\lambda $数值区段 | ISM运算过程 |
|---|---|---|---|
| 1 | 0 | 0<$\lambda$<0 | |
| 2 | 0.07998 | 0<$\lambda$<0.08 | |
| 3 | 0.87419 | 0.08<$\lambda$<0.8742 | |
| 4 | 1.38261 | 0.8742<$\lambda$<1.3826 | |
| 5 | 1.49735 | 1.3826<$\lambda$<1.4974 | |
| 6 | 2.21294 | 1.4974<$\lambda$<2.2129 | |
| 7 | 2.25612 | 2.2129<$\lambda$<2.2561 | |
| 8 | 2.45902 | 2.2561<$\lambda$<2.459 | |
| 9 | 2.54836 | 2.459<$\lambda$<2.5484 | |
| 10 | 2.5812 | 2.5484<$\lambda$<2.5812 | |
| 11 | 2.82694 | 2.5812<$\lambda$<2.8269 | |
| 12 | 2.89474 | 2.8269<$\lambda$<2.8947 | |
| 13 | 2.90958 | 2.8947<$\lambda$<2.9096 | |
| 14 | 3.18413 | 2.9096<$\lambda$<3.1841 | |
| 15 | 3.34773 | 3.1841<$\lambda$<3.3477 | |
| 16 | 3.36032 | 3.3477<$\lambda$<3.3603 | |
| 17 | 3.36065 | 3.3603<$\lambda$<3.3607 | |
| 18 | 3.40471 | 3.3607<$\lambda$<3.4047 | |
| 19 | 3.41535 | 3.4047<$\lambda$<3.4154 | |
| 20 | 3.48085 | 3.4154<$\lambda$<3.4808 | |
| 21 | 3.53374 | 3.4808<$\lambda$<3.5337 | |
| 22 | 3.54514 | 3.5337<$\lambda$<3.5451 | |
| 23 | 3.64544 | 3.5451<$\lambda$<3.6454 | |
| 24 | 4.02692 | 3.6454<$\lambda$<4.0269 | |
| 25 | 4.16572 | 4.0269<$\lambda$<4.1657 | |
| 26 | 4.17982 | 4.1657<$\lambda$<4.1798 | |
| 27 | 4.29308 | 4.1798<$\lambda$<4.2931 | |
| 28 | 4.30658 | 4.2931<$\lambda$<4.3066 | |
| 29 | 4.43781 | 4.3066<$\lambda$<4.4378 | |
| 30 | 4.68522 | 4.4378<$\lambda$<4.6852 | |
| 31 | 4.86416 | 4.6852<$\lambda$<4.8642 | |
| 32 | 5.07276 | 4.8642<$\lambda$<5.0728 | |
| 33 | 5.38164 | 5.0728<$\lambda$<5.3816 | |
| 34 | 5.45025 | 5.3816<$\lambda$<5.4503 | |
| 35 | 5.5793 | 5.4503<$\lambda$<5.5793 | |
| 36 | 5.96127 | 5.5793<$\lambda$<5.9613 | |
| 37 | 6.09884 | 5.9613<$\lambda$<6.0988 | |
| 38 | 6.34787 | 6.0988<$\lambda$<6.3479 | |
| 39 | 6.69434 | 6.3479<$\lambda$<6.6943 | |
| 40 | 6.89088 | 6.6943<$\lambda$<6.8909 | |
| 41 | 7.30132 | 6.8909<$\lambda$<7.3013 | |
| 42 | 7.40083 | 7.3013<$\lambda$<7.4008 | |
| 43 | 7.62919 | 7.4008<$\lambda$<7.6292 | |
| 44 | 7.63852 | 7.6292<$\lambda$<7.6385 | |
| 45 | 7.90022 | 7.6385<$\lambda$<7.9002 | |
| 46 | 7.93621 | 7.9002<$\lambda$<7.9362 | |
| 47 | 8.15002 | 7.9362<$\lambda$<8.15 | |
| 48 | 8.18295 | 8.15<$\lambda$<8.1829 | |
| 49 | 8.19629 | 8.1829<$\lambda$<8.1963 | |
| 50 | 8.48471 | 8.1963<$\lambda$<8.4847 | |
| 51 | 9.13581 | 8.4847<$\lambda$<9.1358 | |
| 52 | 9.67922 | 9.1358<$\lambda$<9.6792 | |
| 53 | 10.07904 | 9.6792<$\lambda$<10.079 | |
| 54 | 10.99155 | 10.079<$\lambda$<10.9915 | |
| 55 | 11.25155 | 10.9915<$\lambda$<11.2516 | |
| 56 | 13.24016 | 11.2516<$\lambda$<13.2402 |