流程图


灰度的操作

第一、每位专家打分为E共n个专家

第二、每个打分可以拆解我上界与下界两个值。

$$ \begin{array} {|c|c|c|c|} \hline { 值域范围 } &{5分制}& {表述一}& {表述二} & {下界}& { 上界} \\ \hline 0&0 &\color{red}{非常傻逼} &\color{blue}{垃圾} & \color{red}{ 0 } & \color{blue}{0 } \\ \hline 0-0.25&1 &\color{red}{真傻逼} &\color{blue}{有点挫} & \color{red}{ 0 } & \color{blue}{0.25} \\ \hline 0.25-0.5&2 &\color{red}{恩} &\color{blue}{还行} & \color{red}{ 0.25 } & \color{blue}{0.5} \\ \hline 0.5-0.75&3 &\color{red}{有点牛逼} &\color{blue}{好} & \color{red}{ 0.5 } & \color{blue}{0.75} \\ \hline 0.75-1 &4 &\color{red}{大神} &\color{blue}{哇塞} & \color{red}{ 0.75 } & \color{blue}{1} \\ \hline 1 &5 &\color{red}{永远的神} &\color{blue}{神一样的存在} & \color{red}{ 1 } & \color{blue}{1} \\ \hline \end{array} $$

第三、下界的值相加求平均值(不求亦可以)得到 min 直接影响矩阵, 上界的值相加求平均值(不求亦可以)得到 Max直接影响矩阵

清晰化上界矩阵与下界清晰化的算法

上界矩阵:$ O_{max}=UP=(u)_{n \times n}$

下界矩阵:$O_{min}=DOWN=(v)_{n \times n}$

清晰化矩阵:$O_{sharp}=SHARPEN=(s)_{n \times n}$

$ \tilde u_{ij}= \frac {u_{ij} - Min (u_{j})} { Max(u_{j})- Min (v_{j})} $

$ \tilde v_{ij}= \frac {v_{ij} - Min (v_{j})} { Max(u_{j})- Min (v_{j})} $

$ y_{ij}= \frac { \tilde v_{ij} (1- \tilde v_{ij})+\tilde u_{ij}^2 } {1- \tilde v_{ij} + \tilde u_{ij} } $

$ s_{ij}= y_{ij}[(Max(u_{j})- Min (v_{j})) ]+ Min (v_{j})$

由于主对角线中的值都为0,即 $Min (u_{j})=0 ,Min (v_{j})=0$ 故上述四个公式简化如下

$ \tilde u_{ij}= \frac {u_{ij} } { Max(u_{j})} $

$ \tilde v_{ij}= \frac {v_{ij} } { Max(u_{j})} $

$ y_{ij}= \frac { \tilde v_{ij} (1- \tilde v_{ij})+\tilde u_{ij}^2 } {1- \tilde v_{ij} + \tilde u_{ij} } $

$ s_{ij}= y_{ij}(Max(u_{j}))$

$ s_{ij}= Max(u_{j}) \frac { \tilde v_{ij} (1- \tilde v_{ij})+(\tilde u_{ij})^2 } {1-\tilde v_{ij} + \tilde u_{ij} }$

$ s_{ij}= Max(u_{j}) \frac { \tilde v_{ij} - (\tilde v_{ij})^2+(\tilde u_{ij})^2 } {1-\tilde v_{ij} + \tilde u_{ij} }$

$ s_{ij}= \frac{v_{ij}- \frac {(v_{ij})^2}{Max(u_{j})}+\frac {( u_{ij})^2}{Max(u_{j})}} {1- \frac {v_{ij}}{ Max(u_{j})} + \frac {u_{ij}}{Max(u_{j})} }$

$ s_{ij}= \frac{v_{ij}Max(u_{j})- (v_{ij})^2+( u_{ij})^2} {Max(u_{j})-v_{ij} + u_{ij}}$

实际清晰化矩阵的具有的解法:

在最终公式中 $ s_{ij}= \frac{v_{ij}Max(u_{j})- (v_{ij})^2+( u_{ij})^2} {Max(u_{j})-v_{ij} + u_{ij}}$

$ Max(u_{j})$表示每列中的最大值。可以替换为:

$ Max(u_{i})$每行中的最大值

$ Max(u_{ij})$上界矩阵中的最大值

清晰化矩阵的处理有千千万,最简单的方法是直接求和。平均数都不用算。

归一化方法选择,选择参数


三组数据分析


总共有7位专家打分$$上界求和 =\begin{array}{c|c|c|c|c|c|c}{M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &1.75 &2 &3.75 &2 &6.5 &1.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &4.5 &4.5 &6.75 &2 &3.5 &1.75 &3.25 &3.5 &3.5 &3.25 &3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &1.75 &0 &0 &0.75 &1.75 &6.25 &3.5 &0 &5.25 &5 &4.75 &5.25 &6.5 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.5 &4.5 &0 &0 &5.25 &0 &0 &3.75 &3.25 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline R1-5 &3.25 &2 &5.25 &3.5 &0 &5.25 &0 &0 &0 &0 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1.25 &2 &5 &1.5 &1.75\\ \hline R1-6 &6.5 &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 R1-7 &0 &3.25 &5.5 &5.25 &7 &3.5 &0 &0 &0 &0 &3.5 &4.75 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1 &1.25 &0 &0.5 &0\\ \hline R2-1 &2 &2 &3.5 &2 &0 &1.75 &0 &0 &2 &1 &3.5 &0 &0 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &1.75 &3 &2.75 &1 &0 &0 &0 &4.25 &0 &0 &0 &1.25 &0 &7 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &5 &5.75 &0 &1.75 &0 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &5.25 &5.75 &0 &0 &0 &0 &6.5 &0 &0 &0 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &1.75 &0 &0 &0 &0 &1.75 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &2.5 &3 &0 &1 &1.5 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &2.5 &0 &0 &2.5 &0\\ \hline R3-1 &5 &0 &0 &0 &0 &3.5 &0 &2.5 &4.75 &1.75 &2.75 &1.75 &4.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.5 &0 &3.25 &3 &2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &1.75 &5.25 &2 &0 &1.75 &0 &0 &0 &2.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &1.75 &1.75 &1.75 &0 &0 &0 &0 &0.75 &2 &1.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &5 &0 &0 &0 &0 &6 &0 &3.5 &3 &2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &2.75 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &6.75 &0 &2 &0 &0 &7 &0 &3.5 &5.25 &1.75 &3.5 &4.75 &1.75 &0 &2.5 &0 &0 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &5 &0 &0 &0 &0 &6 &0 &3 &2 &2.75 &3 &3 &1.75 &0 &0 &0 &0 &0 &0 &2.5 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.25 &0 &3.25 &3.5 &3.25 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &5.5 &6.5 &5.25 &6 &3.5 &5.25 &0 &0 &0 &0 &5.25 &3.5 &5.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &3.25 &2.75 &2.75 &1.75\\ \hline R4-2 &0 &3.5 &4 &3.25 &4.5 &3.5 &3.5 &0 &1.5 &0 &0 &1 &5.25 &5.25 &0 &0 &0 &0 &0 &0 &0 &0 &3.25 &0 &3.25 &4.25 &5\\ \hline R4-3 &0 &5 &3.25 &3.25 &1.75 &3.5 &7 &0 &0 &0 &0 &0 &5.25 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &2.75 &0 &6.25 &6.5\\ \hline R4-4 &0 &3.25 &3.25 &4.75 &5.25 &2.75 &6.25 &0 &0 &1.25 &0 &0 &1.75 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &5.25 &1.25 &4.25 &0 &1.75\\ \hline R4-5 &0 &0 &0 &5.25 &7 &1.75 &0 &0 &0 &0 &1.25 &3.5 &0 &7 &0 &0 &0 &0 &0 &0 &0 &0 &4.5 &2.25 &1.25 &1.5 &0\\ \hline \end{array} $$$$下界求和 =\begin{array}{c|c|c|c|c|c|c}{M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.25 &0.25 &2 &0.25 &4.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &2.75 &2.75 &5 &0.25 &1.75 &0 &1.5 &1.75 &1.75 &1.5 &1.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0 &0 &0 &0 &0 &4.5 &1.75 &0 &3.5 &3.25 &3 &3.5 &4.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.25 &2.75 &0 &0 &3.5 &0 &0 &2 &1.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0 &0 &0\\ \hline R1-5 &1.5 &0.25 &3.5 &1.75 &0 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.25 &3.25 &0 &0\\ \hline R1-6 &4.75 &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 R1-7 &0 &1.5 &3.75 &3.5 &5.25 &1.75 &0 &0 &0 &0 &1.75 &3 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0 &0 &0 &0\\ \hline R2-1 &0.25 &0.25 &1.75 &1 &0 &0 &0 &0 &0.25 &0.5 &1.75 &0 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.25 &1.25 &1 &0 &0 &0 &0 &2.5 &0 &0 &0 &0 &0 &5.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &3.25 &4 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &3.5 &4 &0 &0 &0 &0 &4.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &1 &1.25 &0 &0.5 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1.25 &0 &0 &1.25 &0\\ \hline R3-1 &3.25 &0 &0 &0 &0 &1.75 &0 &1 &3 &0 &1.25 &0 &3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.25 &0 &1.5 &1.5 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0 &3.5 &0.25 &0 &0 &0 &0 &0 &1.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &1.25 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &3.25 &0 &0 &0 &0 &4.25 &0 &1.75 &1.5 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1.25 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &5 &0 &1 &0 &0 &5.25 &0 &1.75 &3.5 &0 &1.75 &3 &0 &0 &1.75 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &3.25 &0 &0 &0 &0 &4.25 &0 &1.25 &0.5 &1.25 &1.75 &1.25 &0 &0 &0 &0 &0 &0 &0 &1.25 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0 &0 &1.5 &1.75 &1.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &3.75 &4.75 &3.5 &4.25 &1.75 &3.5 &0 &0 &0 &0 &3.5 &1.75 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &1.75 &1 &1.25 &0\\ \hline R4-2 &0 &1.75 &2.25 &1.5 &2.75 &1.75 &1.75 &0 &0 &0 &0 &0.5 &3.5 &3.5 &0 &0 &0 &0 &0 &0 &0 &0 &1.5 &0 &1.5 &2.5 &3.25\\ \hline R4-3 &0 &3.25 &1.5 &1.5 &0 &1.75 &5.25 &0 &0 &0 &0 &0 &3.5 &1.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &2 &0 &4.5 &4.75\\ \hline R4-4 &0 &1.5 &1.75 &3 &3.5 &1 &4.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &3.5 &0.75 &2.75 &0 &0\\ \hline R4-5 &0 &0 &0 &3.5 &5.25 &0 &0 &0 &0 &0 &0 &1.75 &0 &5.25 &0 &0 &0 &0 &0 &0 &0 &0 &2.75 &0.75 &0.5 &1 &0\\ \hline \end{array} $$均值化与代入清晰化的计算公式后精确到小数点四位数字结果如下:$$Upper =\begin{array}{c|c|c|c|c|c|c}{M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.25 &0.2857 &0.5357 &0.2857 &0.9286 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.6429 &0.6429 &0.9643 &0.2857 &0.5 &0.25 &0.4643 &0.5 &0.5 &0.4643 &0.4286 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.25 &0 &0 &0.1071 &0.25 &0.8929 &0.5 &0 &0.75 &0.7143 &0.6786 &0.75 &0.9286 &0 &0 &0 &0 &0 &0.0357 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.0714 &0.6429 &0 &0 &0.75 &0 &0 &0.5357 &0.4643 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.1429 &0 &0 &0\\ \hline R1-5 &0.4643 &0.2857 &0.75 &0.5 &0 &0.75 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.1786 &0.2857 &0.7143 &0.2143 &0.25\\ \hline R1-6 &0.9286 &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 R1-7 &0 &0.4643 &0.7857 &0.75 &1 &0.5 &0 &0 &0 &0 &0.5 &0.6786 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.1429 &0.1786 &0 &0.0714 &0\\ \hline R2-1 &0.2857 &0.2857 &0.5 &0.2857 &0 &0.25 &0 &0 &0.2857 &0.1429 &0.5 &0 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.25 &0.4286 &0.3929 &0.1429 &0 &0 &0 &0.6071 &0 &0 &0 &0.1786 &0 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.7143 &0.8214 &0 &0.25 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.75 &0.8214 &0 &0 &0 &0 &0.9286 &0 &0 &0 &0.1429 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0.25 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.3571 &0.4286 &0 &0.1429 &0.2143 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.3571 &0 &0 &0.3571 &0\\ \hline R3-1 &0.7143 &0 &0 &0 &0 &0.5 &0 &0.3571 &0.6786 &0.25 &0.3929 &0.25 &0.6429 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.0714 &0 &0.4643 &0.4286 &0.2857 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.75 &0.2857 &0 &0.25 &0 &0 &0 &0.3571 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.25 &0.25 &0 &0 &0 &0 &0.1071 &0.2857 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.7143 &0 &0 &0 &0 &0.8571 &0 &0.5 &0.4286 &0.2857 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.3929 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.9643 &0 &0.2857 &0 &0 &1 &0 &0.5 &0.75 &0.25 &0.5 &0.6786 &0.25 &0 &0.3571 &0 &0 &0 &0.0714 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.7143 &0 &0 &0 &0 &0.8571 &0 &0.4286 &0.2857 &0.3929 &0.4286 &0.4286 &0.25 &0 &0 &0 &0 &0 &0 &0.3571 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.0357 &0 &0.4643 &0.5 &0.4643 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.7857 &0.9286 &0.75 &0.8571 &0.5 &0.75 &0 &0 &0 &0 &0.75 &0.5 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.4643 &0.3929 &0.3929 &0.25\\ \hline R4-2 &0 &0.5 &0.5714 &0.4643 &0.6429 &0.5 &0.5 &0 &0.2143 &0 &0 &0.1429 &0.75 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0.4643 &0 &0.4643 &0.6071 &0.7143\\ \hline R4-3 &0 &0.7143 &0.4643 &0.4643 &0.25 &0.5 &1 &0 &0 &0 &0 &0 &0.75 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0.0714 &0.3929 &0 &0.8929 &0.9286\\ \hline R4-4 &0 &0.4643 &0.4643 &0.6786 &0.75 &0.3929 &0.8929 &0 &0 &0.1786 &0 &0 &0.25 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0.75 &0.1786 &0.6071 &0 &0.25\\ \hline R4-5 &0 &0 &0 &0.75 &1 &0.25 &0 &0 &0 &0 &0.1786 &0.5 &0 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0.6429 &0.3214 &0.1786 &0.2143 &0\\ \hline \end{array} $$$$Lower =\begin{array}{c|c|c|c|c|c|c}{M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.0357 &0.0357 &0.2857 &0.0357 &0.6786 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.3929 &0.3929 &0.7143 &0.0357 &0.25 &0 &0.2143 &0.25 &0.25 &0.2143 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0 &0 &0 &0 &0 &0.6429 &0.25 &0 &0.5 &0.4643 &0.4286 &0.5 &0.6786 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.0357 &0.3929 &0 &0 &0.5 &0 &0 &0.2857 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0714 &0 &0 &0\\ \hline R1-5 &0.2143 &0.0357 &0.5 &0.25 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0357 &0.4643 &0 &0\\ \hline R1-6 &0.6786 &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 R1-7 &0 &0.2143 &0.5357 &0.5 &0.75 &0.25 &0 &0 &0 &0 &0.25 &0.4286 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0714 &0 &0 &0 &0\\ \hline R2-1 &0.0357 &0.0357 &0.25 &0.1429 &0 &0 &0 &0 &0.0357 &0.0714 &0.25 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.0357 &0.1786 &0.1429 &0 &0 &0 &0 &0.3571 &0 &0 &0 &0 &0 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.4643 &0.5714 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.5714 &0 &0 &0 &0 &0.6786 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.1429 &0.1786 &0 &0.0714 &0.0357 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.1786 &0 &0 &0.1786 &0\\ \hline R3-1 &0.4643 &0 &0 &0 &0 &0.25 &0 &0.1429 &0.4286 &0 &0.1786 &0 &0.4286 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.0357 &0 &0.2143 &0.2143 &0.0357 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.0357 &0 &0 &0 &0 &0 &0.1786 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0714 &0.1786 &0.1429 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.4643 &0 &0 &0 &0 &0.6071 &0 &0.25 &0.2143 &0.0357 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.1786 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.7143 &0 &0.1429 &0 &0 &0.75 &0 &0.25 &0.5 &0 &0.25 &0.4286 &0 &0 &0.25 &0 &0 &0 &0.0357 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.4643 &0 &0 &0 &0 &0.6071 &0 &0.1786 &0.0714 &0.1786 &0.25 &0.1786 &0 &0 &0 &0 &0 &0 &0 &0.1786 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0 &0 &0.2143 &0.25 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.5357 &0.6786 &0.5 &0.6071 &0.25 &0.5 &0 &0 &0 &0 &0.5 &0.25 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.1429 &0.1786 &0\\ \hline R4-2 &0 &0.25 &0.3214 &0.2143 &0.3929 &0.25 &0.25 &0 &0 &0 &0 &0.0714 &0.5 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0.2143 &0 &0.2143 &0.3571 &0.4643\\ \hline R4-3 &0 &0.4643 &0.2143 &0.2143 &0 &0.25 &0.75 &0 &0 &0 &0 &0 &0.5 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.2857 &0 &0.6429 &0.6786\\ \hline R4-4 &0 &0.2143 &0.25 &0.4286 &0.5 &0.1429 &0.6429 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.1071 &0.3929 &0 &0\\ \hline R4-5 &0 &0 &0 &0.5 &0.75 &0 &0 &0 &0 &0 &0 &0.25 &0 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0.3929 &0.1071 &0.0714 &0.1429 &0\\ \hline \end{array} $$$$Sharpen =\begin{array}{c|c|c|c|c|c|c}{M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.0826 &0.0963 &0.3994 &0.0963 &0.8755 &0.0402 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.5252 &0.5252 &0.9128 &0.0945 &0.3529 &0.0515 &0.3099 &0.3529 &0.3529 &0.3099 &0.2922 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.053 &0 &0 &0.0111 &0.053 &0.8323 &0.3561 &0 &0.6591 &0.6158 &0.5725 &0.6591 &0.8755 &0 &0 &0 &0 &0 &0.0013 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.039 &0.5536 &0 &0 &0.6875 &0 &0 &0.4196 &0.3304 &0.0625 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0839 &0 &0 &0\\ \hline R1-5 &0.3304 &0.1071 &0.6875 &0.375 &0 &0.6875 &0 &0 &0 &0 &0 &0.0625 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0343 &0.1071 &0.6429 &0.0476 &0.0625\\ \hline R1-6 &0.8755 &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 R1-7 &0 &0.3071 &0.6929 &0.65 &0.95 &0.35 &0 &0 &0 &0 &0.35 &0.5643 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.081 &0.0271 &0 &0.0048 &0\\ \hline R2-1 &0.131 &0.131 &0.4167 &0.2063 &0 &0.0833 &0 &0 &0.131 &0.0893 &0.4167 &0 &0 &0.4167 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.0798 &0.2643 &0.2214 &0.0179 &0 &0 &0 &0.4786 &0 &0 &0 &0.0271 &0 &0.95 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.631 &0.7631 &0 &0.0583 &0 &0 &0.0583 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.6591 &0.7457 &0 &0 &0 &0 &0.8755 &0 &0 &0 &0.019 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.0833 &0 &0 &0 &0 &0.0833 &0.4167 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.2619 &0.3365 &0 &0.0918 &0.0987 &0 &0.0921 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.4167 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.2726 &0 &0 &0.2726 &0\\ \hline R3-1 &0.6495 &0 &0 &0 &0 &0.3796 &0 &0.2253 &0.6045 &0.0648 &0.2692 &0.0648 &0.5769 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.0408 &0 &0.3768 &0.3496 &0.1357 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.0625 &0.6875 &0.1071 &0 &0.0625 &0 &0 &0 &0.2473 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.1167 &0.1167 &0.1167 &0 &0 &0 &0 &0.0833 &0.2565 &0.1857 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.6256 &0 &0 &0 &0 &0.8007 &0 &0.3629 &0.3 &0.1002 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.2571 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.9071 &0 &0.1786 &0 &0 &0.95 &0 &0.35 &0.65 &0.05 &0.35 &0.5643 &0.05 &0 &0.2846 &0 &0 &0 &0.0382 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.6256 &0 &0 &0 &0 &0.8007 &0 &0.2753 &0.1286 &0.2571 &0.3239 &0.2753 &0.0565 &0 &0 &0 &0 &0 &0 &0.2401 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.0024 &0 &0.369 &0.4167 &0.369 &0.0833 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.7024 &0.8755 &0.6591 &0.789 &0.3561 &0.6591 &0 &0 &0 &0 &0.6591 &0.3561 &0.6591 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.3371 &0.2262 &0.2522 &0.053\\ \hline R4-2 &0 &0.375 &0.4643 &0.3304 &0.5536 &0.375 &0.375 &0 &0.0476 &0 &0 &0.0839 &0.6875 &0.6875 &0 &0 &0 &0 &0 &0 &0 &0 &0.3304 &0 &0.3304 &0.5089 &0.6429\\ \hline R4-3 &0 &0.6071 &0.3071 &0.3071 &0.05 &0.35 &0.95 &0 &0 &0 &0 &0 &0.65 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0.0048 &0.3237 &0 &0.8214 &0.8643\\ \hline R4-4 &0 &0.3158 &0.3399 &0.577 &0.6641 &0.2288 &0.8382 &0 &0 &0.0298 &0 &0 &0.0547 &0.0547 &0 &0 &0 &0 &0 &0 &0 &0 &0.6641 &0.1204 &0.5104 &0 &0.0547\\ \hline R4-5 &0 &0 &0 &0.65 &0.95 &0.05 &0 &0 &0 &0 &0.0271 &0.35 &0 &0.95 &0 &0 &0 &0 &0 &0 &0 &0 &0.5214 &0.1639 &0.0887 &0.1571 &0\\ \hline \end{array} $$

数据比对后分别得到直接影响矩阵$ O$为


$$O-Upper=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.25 &0.286 &0.536 &0.286 &0.929 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.643 &0.643 &0.964 &0.286 &0.5 &0.25 &0.464 &0.5 &0.5 &0.464 &0.429 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.25 &0 &0 &0.107 &0.25 &0.893 &0.5 &0 &0.75 &0.714 &0.679 &0.75 &0.929 &0 &0 &0 &0 &0 &0.036 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.071 &0.643 &0 &0 &0.75 &0 &0 &0.536 &0.464 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.143 &0 &0 &0\\ \hline R1-5 &0.464 &0.286 &0.75 &0.5 &0 &0.75 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.179 &0.286 &0.714 &0.214 &0.25\\ \hline R1-6 &0.929 &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 R1-7 &0 &0.464 &0.786 &0.75 &1 &0.5 &0 &0 &0 &0 &0.5 &0.679 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.143 &0.179 &0 &0.071 &0\\ \hline R2-1 &0.286 &0.286 &0.5 &0.286 &0 &0.25 &0 &0 &0.286 &0.143 &0.5 &0 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.25 &0.429 &0.393 &0.143 &0 &0 &0 &0.607 &0 &0 &0 &0.179 &0 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.714 &0.821 &0 &0.25 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.75 &0.821 &0 &0 &0 &0 &0.929 &0 &0 &0 &0.143 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0.25 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.357 &0.429 &0 &0.143 &0.214 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.357 &0 &0 &0.357 &0\\ \hline R3-1 &0.714 &0 &0 &0 &0 &0.5 &0 &0.357 &0.679 &0.25 &0.393 &0.25 &0.643 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.071 &0 &0.464 &0.429 &0.286 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.75 &0.286 &0 &0.25 &0 &0 &0 &0.357 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.25 &0.25 &0 &0 &0 &0 &0.107 &0.286 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.714 &0 &0 &0 &0 &0.857 &0 &0.5 &0.429 &0.286 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.393 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.964 &0 &0.286 &0 &0 &1 &0 &0.5 &0.75 &0.25 &0.5 &0.679 &0.25 &0 &0.357 &0 &0 &0 &0.071 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.714 &0 &0 &0 &0 &0.857 &0 &0.429 &0.286 &0.393 &0.429 &0.429 &0.25 &0 &0 &0 &0 &0 &0 &0.357 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.036 &0 &0.464 &0.5 &0.464 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.786 &0.929 &0.75 &0.857 &0.5 &0.75 &0 &0 &0 &0 &0.75 &0.5 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.464 &0.393 &0.393 &0.25\\ \hline R4-2 &0 &0.5 &0.571 &0.464 &0.643 &0.5 &0.5 &0 &0.214 &0 &0 &0.143 &0.75 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0.464 &0 &0.464 &0.607 &0.714\\ \hline R4-3 &0 &0.714 &0.464 &0.464 &0.25 &0.5 &1 &0 &0 &0 &0 &0 &0.75 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0.071 &0.393 &0 &0.893 &0.929\\ \hline R4-4 &0 &0.464 &0.464 &0.679 &0.75 &0.393 &0.893 &0 &0 &0.179 &0 &0 &0.25 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0.75 &0.179 &0.607 &0 &0.25\\ \hline R4-5 &0 &0 &0 &0.75 &1 &0.25 &0 &0 &0 &0 &0.179 &0.5 &0 &1 &0 &0 &0 &0 &0 &0 &0 &0 &0.643 &0.321 &0.179 &0.214 &0\\ \hline \end{array} $$

$$O-Lower=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.036 &0.036 &0.286 &0.036 &0.679 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.393 &0.393 &0.714 &0.036 &0.25 &0 &0.214 &0.25 &0.25 &0.214 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0 &0 &0 &0 &0 &0.643 &0.25 &0 &0.5 &0.464 &0.429 &0.5 &0.679 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.036 &0.393 &0 &0 &0.5 &0 &0 &0.286 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.071 &0 &0 &0\\ \hline R1-5 &0.214 &0.036 &0.5 &0.25 &0 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.036 &0.464 &0 &0\\ \hline R1-6 &0.679 &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 R1-7 &0 &0.214 &0.536 &0.5 &0.75 &0.25 &0 &0 &0 &0 &0.25 &0.429 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.071 &0 &0 &0 &0\\ \hline R2-1 &0.036 &0.036 &0.25 &0.143 &0 &0 &0 &0 &0.036 &0.071 &0.25 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.036 &0.179 &0.143 &0 &0 &0 &0 &0.357 &0 &0 &0 &0 &0 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.464 &0.571 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.571 &0 &0 &0 &0 &0.679 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.143 &0.179 &0 &0.071 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.179 &0 &0 &0.179 &0\\ \hline R3-1 &0.464 &0 &0 &0 &0 &0.25 &0 &0.143 &0.429 &0 &0.179 &0 &0.429 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.036 &0 &0.214 &0.214 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.036 &0 &0 &0 &0 &0 &0.179 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.071 &0.179 &0.143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.464 &0 &0 &0 &0 &0.607 &0 &0.25 &0.214 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.179 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.714 &0 &0.143 &0 &0 &0.75 &0 &0.25 &0.5 &0 &0.25 &0.429 &0 &0 &0.25 &0 &0 &0 &0.036 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.464 &0 &0 &0 &0 &0.607 &0 &0.179 &0.071 &0.179 &0.25 &0.179 &0 &0 &0 &0 &0 &0 &0 &0.179 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0 &0 &0.214 &0.25 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.536 &0.679 &0.5 &0.607 &0.25 &0.5 &0 &0 &0 &0 &0.5 &0.25 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.25 &0.143 &0.179 &0\\ \hline R4-2 &0 &0.25 &0.321 &0.214 &0.393 &0.25 &0.25 &0 &0 &0 &0 &0.071 &0.5 &0.5 &0 &0 &0 &0 &0 &0 &0 &0 &0.214 &0 &0.214 &0.357 &0.464\\ \hline R4-3 &0 &0.464 &0.214 &0.214 &0 &0.25 &0.75 &0 &0 &0 &0 &0 &0.5 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.286 &0 &0.643 &0.679\\ \hline R4-4 &0 &0.214 &0.25 &0.429 &0.5 &0.143 &0.643 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.5 &0.107 &0.393 &0 &0\\ \hline R4-5 &0 &0 &0 &0.5 &0.75 &0 &0 &0 &0 &0 &0 &0.25 &0 &0.75 &0 &0 &0 &0 &0 &0 &0 &0 &0.393 &0.107 &0.071 &0.143 &0\\ \hline \end{array} $$

$$O-Sharpen=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.083 &0.096 &0.399 &0.096 &0.876 &0.04 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.525 &0.525 &0.913 &0.095 &0.353 &0.051 &0.31 &0.353 &0.353 &0.31 &0.292 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.053 &0 &0 &0.011 &0.053 &0.832 &0.356 &0 &0.659 &0.616 &0.573 &0.659 &0.876 &0 &0 &0 &0 &0 &0.001 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.039 &0.554 &0 &0 &0.688 &0 &0 &0.42 &0.33 &0.063 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.084 &0 &0 &0\\ \hline R1-5 &0.33 &0.107 &0.688 &0.375 &0 &0.688 &0 &0 &0 &0 &0 &0.063 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.034 &0.107 &0.643 &0.048 &0.063\\ \hline R1-6 &0.876 &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 R1-7 &0 &0.307 &0.693 &0.65 &0.95 &0.35 &0 &0 &0 &0 &0.35 &0.564 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.081 &0.027 &0 &0.005 &0\\ \hline R2-1 &0.131 &0.131 &0.417 &0.206 &0 &0.083 &0 &0 &0.131 &0.089 &0.417 &0 &0 &0.417 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.08 &0.264 &0.221 &0.018 &0 &0 &0 &0.479 &0 &0 &0 &0.027 &0 &0.95 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.631 &0.763 &0 &0.058 &0 &0 &0.058 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.659 &0.746 &0 &0 &0 &0 &0.876 &0 &0 &0 &0.019 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.083 &0 &0 &0 &0 &0.083 &0.417 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.262 &0.336 &0 &0.092 &0.099 &0 &0.092 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.417 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.273 &0 &0 &0.273 &0\\ \hline R3-1 &0.649 &0 &0 &0 &0 &0.38 &0 &0.225 &0.604 &0.065 &0.269 &0.065 &0.577 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.041 &0 &0.377 &0.35 &0.136 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.063 &0.688 &0.107 &0 &0.063 &0 &0 &0 &0.247 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.117 &0.117 &0.117 &0 &0 &0 &0 &0.083 &0.256 &0.186 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.626 &0 &0 &0 &0 &0.801 &0 &0.363 &0.3 &0.1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.257 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.907 &0 &0.179 &0 &0 &0.95 &0 &0.35 &0.65 &0.05 &0.35 &0.564 &0.05 &0 &0.285 &0 &0 &0 &0.038 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.626 &0 &0 &0 &0 &0.801 &0 &0.275 &0.129 &0.257 &0.324 &0.275 &0.056 &0 &0 &0 &0 &0 &0 &0.24 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.002 &0 &0.369 &0.417 &0.369 &0.083 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.702 &0.876 &0.659 &0.789 &0.356 &0.659 &0 &0 &0 &0 &0.659 &0.356 &0.659 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.337 &0.226 &0.252 &0.053\\ \hline R4-2 &0 &0.375 &0.464 &0.33 &0.554 &0.375 &0.375 &0 &0.048 &0 &0 &0.084 &0.688 &0.688 &0 &0 &0 &0 &0 &0 &0 &0 &0.33 &0 &0.33 &0.509 &0.643\\ \hline R4-3 &0 &0.607 &0.307 &0.307 &0.05 &0.35 &0.95 &0 &0 &0 &0 &0 &0.65 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0.005 &0.324 &0 &0.821 &0.864\\ \hline R4-4 &0 &0.316 &0.34 &0.577 &0.664 &0.229 &0.838 &0 &0 &0.03 &0 &0 &0.055 &0.055 &0 &0 &0 &0 &0 &0 &0 &0 &0.664 &0.12 &0.51 &0 &0.055\\ \hline R4-5 &0 &0 &0 &0.65 &0.95 &0.05 &0 &0 &0 &0 &0.027 &0.35 &0 &0.95 &0 &0 &0 &0 &0 &0 &0 &0 &0.521 &0.164 &0.089 &0.157 &0\\ \hline \end{array} $$

规范直接关系矩阵求解过程 $$ \require{cancel} \require{AMScd} \begin{CD} O @>>>N \\ \end{CD} $$


  • 归一化方法中最大值:10.321428571429$$\mathcal{N-Upper}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.024 &0.028 &0.052 &0.028 &0.09 &0.021 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.062 &0.062 &0.093 &0.028 &0.048 &0.024 &0.045 &0.048 &0.048 &0.045 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.024 &0 &0 &0.01 &0.024 &0.087 &0.048 &0 &0.073 &0.069 &0.066 &0.073 &0.09 &0 &0 &0 &0 &0 &0.003 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.007 &0.062 &0 &0 &0.073 &0 &0 &0.052 &0.045 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.014 &0 &0 &0\\ \hline R1-5 &0.045 &0.028 &0.073 &0.048 &0 &0.073 &0 &0 &0 &0 &0 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.017 &0.028 &0.069 &0.021 &0.024\\ \hline R1-6 &0.09 &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 R1-7 &0 &0.045 &0.076 &0.073 &0.097 &0.048 &0 &0 &0 &0 &0.048 &0.066 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.014 &0.017 &0 &0.007 &0\\ \hline R2-1 &0.028 &0.028 &0.048 &0.028 &0 &0.024 &0 &0 &0.028 &0.014 &0.048 &0 &0 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.024 &0.042 &0.038 &0.014 &0 &0 &0 &0.059 &0 &0 &0 &0.017 &0 &0.097 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.069 &0.08 &0 &0.024 &0 &0 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.073 &0.08 &0 &0 &0 &0 &0.09 &0 &0 &0 &0.014 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.024 &0 &0 &0 &0 &0.024 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.035 &0.042 &0 &0.014 &0.021 &0 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.035 &0 &0 &0.035 &0\\ \hline R3-1 &0.069 &0 &0 &0 &0 &0.048 &0 &0.035 &0.066 &0.024 &0.038 &0.024 &0.062 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.007 &0 &0.045 &0.042 &0.028 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.024 &0.073 &0.028 &0 &0.024 &0 &0 &0 &0.035 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.024 &0.024 &0.024 &0 &0 &0 &0 &0.01 &0.028 &0.021 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.069 &0 &0 &0 &0 &0.083 &0 &0.048 &0.042 &0.028 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.038 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.093 &0 &0.028 &0 &0 &0.097 &0 &0.048 &0.073 &0.024 &0.048 &0.066 &0.024 &0 &0.035 &0 &0 &0 &0.007 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.069 &0 &0 &0 &0 &0.083 &0 &0.042 &0.028 &0.038 &0.042 &0.042 &0.024 &0 &0 &0 &0 &0 &0 &0.035 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.003 &0 &0.045 &0.048 &0.045 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.076 &0.09 &0.073 &0.083 &0.048 &0.073 &0 &0 &0 &0 &0.073 &0.048 &0.073 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.045 &0.038 &0.038 &0.024\\ \hline R4-2 &0 &0.048 &0.055 &0.045 &0.062 &0.048 &0.048 &0 &0.021 &0 &0 &0.014 &0.073 &0.073 &0 &0 &0 &0 &0 &0 &0 &0 &0.045 &0 &0.045 &0.059 &0.069\\ \hline R4-3 &0 &0.069 &0.045 &0.045 &0.024 &0.048 &0.097 &0 &0 &0 &0 &0 &0.073 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0.007 &0.038 &0 &0.087 &0.09\\ \hline R4-4 &0 &0.045 &0.045 &0.066 &0.073 &0.038 &0.087 &0 &0 &0.017 &0 &0 &0.024 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0.073 &0.017 &0.059 &0 &0.024\\ \hline R4-5 &0 &0 &0 &0.073 &0.097 &0.024 &0 &0 &0 &0 &0.017 &0.048 &0 &0.097 &0 &0 &0 &0 &0 &0 &0 &0 &0.062 &0.031 &0.017 &0.021 &0\\ \hline \end{array} $$归一化方法中最大值:6$$\mathcal{N-Lower}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.006 &0.006 &0.048 &0.006 &0.113 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.065 &0.065 &0.119 &0.006 &0.042 &0 &0.036 &0.042 &0.042 &0.036 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0 &0 &0 &0 &0 &0.107 &0.042 &0 &0.083 &0.077 &0.071 &0.083 &0.113 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.006 &0.065 &0 &0 &0.083 &0 &0 &0.048 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.012 &0 &0 &0\\ \hline R1-5 &0.036 &0.006 &0.083 &0.042 &0 &0.083 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.006 &0.077 &0 &0\\ \hline R1-6 &0.113 &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 R1-7 &0 &0.036 &0.089 &0.083 &0.125 &0.042 &0 &0 &0 &0 &0.042 &0.071 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.012 &0 &0 &0 &0\\ \hline R2-1 &0.006 &0.006 &0.042 &0.024 &0 &0 &0 &0 &0.006 &0.012 &0.042 &0 &0 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.006 &0.03 &0.024 &0 &0 &0 &0 &0.06 &0 &0 &0 &0 &0 &0.125 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.077 &0.095 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.083 &0.095 &0 &0 &0 &0 &0.113 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.024 &0.03 &0 &0.012 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.03 &0 &0 &0.03 &0\\ \hline R3-1 &0.077 &0 &0 &0 &0 &0.042 &0 &0.024 &0.071 &0 &0.03 &0 &0.071 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.006 &0 &0.036 &0.036 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0 &0.083 &0.006 &0 &0 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.012 &0.03 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.077 &0 &0 &0 &0 &0.101 &0 &0.042 &0.036 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.119 &0 &0.024 &0 &0 &0.125 &0 &0.042 &0.083 &0 &0.042 &0.071 &0 &0 &0.042 &0 &0 &0 &0.006 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.077 &0 &0 &0 &0 &0.101 &0 &0.03 &0.012 &0.03 &0.042 &0.03 &0 &0 &0 &0 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0 &0 &0.036 &0.042 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.089 &0.113 &0.083 &0.101 &0.042 &0.083 &0 &0 &0 &0 &0.083 &0.042 &0.083 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.042 &0.024 &0.03 &0\\ \hline R4-2 &0 &0.042 &0.054 &0.036 &0.065 &0.042 &0.042 &0 &0 &0 &0 &0.012 &0.083 &0.083 &0 &0 &0 &0 &0 &0 &0 &0 &0.036 &0 &0.036 &0.06 &0.077\\ \hline R4-3 &0 &0.077 &0.036 &0.036 &0 &0.042 &0.125 &0 &0 &0 &0 &0 &0.083 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.048 &0 &0.107 &0.113\\ \hline R4-4 &0 &0.036 &0.042 &0.071 &0.083 &0.024 &0.107 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.083 &0.018 &0.065 &0 &0\\ \hline R4-5 &0 &0 &0 &0.083 &0.125 &0 &0 &0 &0 &0 &0 &0.042 &0 &0.125 &0 &0 &0 &0 &0 &0 &0 &0 &0.065 &0.018 &0.012 &0.024 &0\\ \hline \end{array} $$归一化方法中最大值:8.3613946688565$$\mathcal{N-Sharpen}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0 &0.01 &0.012 &0.048 &0.012 &0.105 &0.005 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-2 &0 &0 &0.063 &0.063 &0.109 &0.011 &0.042 &0.006 &0.037 &0.042 &0.042 &0.037 &0.035 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.006 &0 &0 &0.001 &0.006 &0.1 &0.043 &0 &0.079 &0.074 &0.068 &0.079 &0.105 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.005 &0.066 &0 &0 &0.082 &0 &0 &0.05 &0.04 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.01 &0 &0 &0\\ \hline R1-5 &0.04 &0.013 &0.082 &0.045 &0 &0.082 &0 &0 &0 &0 &0 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.004 &0.013 &0.077 &0.006 &0.007\\ \hline R1-6 &0.105 &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 R1-7 &0 &0.037 &0.083 &0.078 &0.114 &0.042 &0 &0 &0 &0 &0.042 &0.067 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.01 &0.003 &0 &0.001 &0\\ \hline R2-1 &0.016 &0.016 &0.05 &0.025 &0 &0.01 &0 &0 &0.016 &0.011 &0.05 &0 &0 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.01 &0.032 &0.026 &0.002 &0 &0 &0 &0.057 &0 &0 &0 &0.003 &0 &0.114 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.075 &0.091 &0 &0.007 &0 &0 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.079 &0.089 &0 &0 &0 &0 &0.105 &0 &0 &0 &0.002 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.01 &0 &0 &0 &0 &0.01 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.031 &0.04 &0 &0.011 &0.012 &0 &0.011 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.033 &0 &0 &0.033 &0\\ \hline R3-1 &0.078 &0 &0 &0 &0 &0.045 &0 &0.027 &0.072 &0.008 &0.032 &0.008 &0.069 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.005 &0 &0.045 &0.042 &0.016 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0 &0 &0 &0 &0 &0 &0 &0.007 &0.082 &0.013 &0 &0.007 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.014 &0.014 &0.014 &0 &0 &0 &0 &0.01 &0.031 &0.022 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.075 &0 &0 &0 &0 &0.096 &0 &0.043 &0.036 &0.012 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.031 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.108 &0 &0.021 &0 &0 &0.114 &0 &0.042 &0.078 &0.006 &0.042 &0.067 &0.006 &0 &0.034 &0 &0 &0 &0.005 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.075 &0 &0 &0 &0 &0.096 &0 &0.033 &0.015 &0.031 &0.039 &0.033 &0.007 &0 &0 &0 &0 &0 &0 &0.029 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0 &0 &0.044 &0.05 &0.044 &0.01 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.084 &0.105 &0.079 &0.094 &0.043 &0.079 &0 &0 &0 &0 &0.079 &0.043 &0.079 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.04 &0.027 &0.03 &0.006\\ \hline R4-2 &0 &0.045 &0.056 &0.04 &0.066 &0.045 &0.045 &0 &0.006 &0 &0 &0.01 &0.082 &0.082 &0 &0 &0 &0 &0 &0 &0 &0 &0.04 &0 &0.04 &0.061 &0.077\\ \hline R4-3 &0 &0.073 &0.037 &0.037 &0.006 &0.042 &0.114 &0 &0 &0 &0 &0 &0.078 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.039 &0 &0.098 &0.103\\ \hline R4-4 &0 &0.038 &0.041 &0.069 &0.079 &0.027 &0.1 &0 &0 &0.004 &0 &0 &0.007 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0.079 &0.014 &0.061 &0 &0.007\\ \hline R4-5 &0 &0 &0 &0.078 &0.114 &0.006 &0 &0 &0 &0 &0.003 &0.042 &0 &0.114 &0 &0 &0 &0 &0 &0 &0 &0 &0.062 &0.02 &0.011 &0.019 &0\\ \hline \end{array} $$

综合影响矩阵求解过程 $$\begin{CD} N @>>>T \\ \end{CD} $$



  综合影响矩阵如下

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

Upper综合影响矩阵$$T-Upper=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0.012 &0.028 &0.039 &0.059 &0.035 &0.104 &0.025 &0.003 &0.009 &0.007 &0.007 &0.007 &0.006 &0.003 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.002 &0.003 &0.001 &0.001\\ \hline R1-2 &0.015 &0.012 &0.086 &0.077 &0.104 &0.056 &0.055 &0.041 &0.069 &0.059 &0.063 &0.061 &0.055 &0.022 &0 &0 &0 &0.001 &0 &0 &0 &0 &0.004 &0.006 &0.008 &0.005 &0.004\\ \hline R1-3 &0.038 &0.009 &0.014 &0.021 &0.032 &0.1 &0.051 &0.022 &0.092 &0.072 &0.074 &0.082 &0.097 &0.025 &0 &0 &0 &0.001 &0.004 &0 &0 &0 &0.003 &0.002 &0.003 &0.002 &0.001\\ \hline R1-4 &0.011 &0.012 &0.068 &0.005 &0.005 &0.083 &0.005 &0.01 &0.065 &0.051 &0.032 &0.008 &0.008 &0.013 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.014 &0.001 &0.002 &0.001\\ \hline R1-5 &0.058 &0.042 &0.094 &0.07 &0.022 &0.105 &0.022 &0.005 &0.016 &0.012 &0.012 &0.04 &0.022 &0.018 &0 &0 &0 &0 &0 &0 &0 &0 &0.025 &0.035 &0.076 &0.032 &0.035\\ \hline R1-6 &0.091 &0.003 &0.003 &0.005 &0.003 &0.009 &0.002 &0 &0.001 &0.001 &0.001 &0.001 &0.001 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-7 &0.016 &0.055 &0.1 &0.089 &0.111 &0.08 &0.012 &0.013 &0.024 &0.014 &0.062 &0.083 &0.066 &0.019 &0 &0 &0 &0.001 &0 &0 &0 &0 &0.019 &0.023 &0.01 &0.013 &0.006\\ \hline R2-1 &0.034 &0.032 &0.057 &0.034 &0.006 &0.04 &0.005 &0.009 &0.042 &0.021 &0.056 &0.007 &0.007 &0.059 &0 &0 &0 &0.001 &0 &0 &0 &0 &0.002 &0.001 &0.001 &0.002 &0\\ \hline R2-2 &0.029 &0.046 &0.048 &0.022 &0.008 &0.018 &0.006 &0.063 &0.01 &0.007 &0.01 &0.024 &0.008 &0.104 &0 &0 &0 &0 &0 &0 &0 &0 &0.004 &0.001 &0.001 &0.004 &0.001\\ \hline R2-3 &0.005 &0.006 &0.008 &0.004 &0.001 &0.006 &0.001 &0.077 &0.085 &0.002 &0.029 &0.003 &0.001 &0.039 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0 &0 &0.001 &0\\ \hline R2-4 &0.005 &0.006 &0.009 &0.005 &0.002 &0.009 &0.002 &0.079 &0.084 &0.003 &0.005 &0.003 &0.002 &0.103 &0 &0 &0 &0.014 &0 &0 &0 &0 &0.004 &0 &0.001 &0.004 &0\\ \hline R2-5 &0.001 &0.001 &0.002 &0.001 &0.001 &0.004 &0.001 &0.025 &0.002 &0.001 &0.002 &0.001 &0.025 &0.051 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0 &0 &0.002 &0\\ \hline R2-6 &0.003 &0.003 &0.004 &0.002 &0.001 &0.004 &0.001 &0.039 &0.045 &0.001 &0.016 &0.022 &0.001 &0.033 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-7 &0.006 &0.006 &0.008 &0.007 &0.008 &0.055 &0.007 &0.001 &0.002 &0.002 &0.002 &0.005 &0.005 &0.005 &0 &0 &0 &0 &0 &0 &0 &0 &0.038 &0.003 &0.004 &0.037 &0.003\\ \hline R3-1 &0.078 &0.007 &0.009 &0.007 &0.003 &0.059 &0.003 &0.047 &0.077 &0.026 &0.043 &0.028 &0.064 &0.017 &0 &0 &0 &0.001 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-2 &0.004 &0.004 &0.005 &0.003 &0.001 &0.01 &0.001 &0.05 &0.046 &0.029 &0.004 &0.001 &0.001 &0.008 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0.003 &0.004 &0.005 &0.003 &0.001 &0.003 &0.001 &0.033 &0.078 &0.03 &0.003 &0.026 &0.001 &0.012 &0 &0.035 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0.003 &0.002 &0.003 &0.002 &0 &0.002 &0 &0.03 &0.031 &0.027 &0.003 &0.002 &0.001 &0.006 &0.01 &0.028 &0.021 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.085 &0.006 &0.009 &0.008 &0.004 &0.098 &0.003 &0.056 &0.05 &0.031 &0.007 &0.005 &0.002 &0.009 &0.001 &0 &0 &0 &0 &0.038 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.112 &0.009 &0.039 &0.011 &0.006 &0.117 &0.005 &0.065 &0.089 &0.03 &0.058 &0.073 &0.032 &0.022 &0.035 &0 &0 &0.001 &0.007 &0 &0 &0 &0.001 &0 &0.001 &0.001 &0\\ \hline R3-7 &0.084 &0.006 &0.009 &0.007 &0.003 &0.098 &0.003 &0.054 &0.041 &0.041 &0.048 &0.046 &0.028 &0.015 &0.001 &0 &0 &0.001 &0 &0.035 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-8 &0.004 &0.004 &0.005 &0.003 &0.001 &0.007 &0.001 &0.054 &0.057 &0.046 &0.029 &0.002 &0.001 &0.012 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0.018 &0.097 &0.13 &0.107 &0.119 &0.099 &0.098 &0.012 &0.028 &0.02 &0.023 &0.102 &0.081 &0.098 &0 &0 &0 &0 &0 &0 &0 &0 &0.016 &0.056 &0.053 &0.054 &0.037\\ \hline R4-2 &0.016 &0.071 &0.093 &0.081 &0.1 &0.093 &0.074 &0.011 &0.042 &0.015 &0.019 &0.043 &0.099 &0.102 &0 &0 &0 &0 &0 &0 &0 &0 &0.063 &0.014 &0.061 &0.075 &0.081\\ \hline R4-3 &0.014 &0.089 &0.082 &0.083 &0.069 &0.091 &0.12 &0.01 &0.023 &0.016 &0.021 &0.03 &0.099 &0.076 &0 &0 &0 &0 &0 &0 &0 &0 &0.028 &0.05 &0.016 &0.099 &0.1\\ \hline R4-4 &0.015 &0.069 &0.087 &0.1 &0.108 &0.082 &0.11 &0.009 &0.022 &0.032 &0.019 &0.029 &0.053 &0.048 &0 &0 &0 &0 &0 &0 &0 &0 &0.083 &0.032 &0.073 &0.017 &0.038\\ \hline R4-5 &0.012 &0.017 &0.029 &0.093 &0.114 &0.059 &0.016 &0.005 &0.012 &0.008 &0.024 &0.062 &0.015 &0.116 &0 &0 &0 &0 &0 &0 &0 &0 &0.074 &0.041 &0.032 &0.036 &0.011\\ \hline \end{array} $$Lower综合影响矩阵$$T-Lower=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0.014 &0.007 &0.011 &0.049 &0.007 &0.121 &0.001 &0.001 &0.004 &0.003 &0.001 &0.001 &0.002 &0.001 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.001 &0 &0\\ \hline R1-2 &0.009 &0.006 &0.088 &0.077 &0.126 &0.037 &0.047 &0.013 &0.058 &0.052 &0.051 &0.047 &0.049 &0.016 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.002 &0.01 &0.002 &0.001\\ \hline R1-3 &0.014 &0.005 &0.009 &0.006 &0.006 &0.114 &0.043 &0.021 &0.103 &0.079 &0.076 &0.088 &0.116 &0.026 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0.001 &0.001 &0\\ \hline R1-4 &0.011 &0.009 &0.069 &0.002 &0.003 &0.094 &0.004 &0.007 &0.059 &0.042 &0.006 &0.007 &0.009 &0.01 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.012 &0.001 &0.001 &0.001\\ \hline R1-5 &0.048 &0.015 &0.094 &0.052 &0.007 &0.109 &0.016 &0.003 &0.013 &0.01 &0.008 &0.01 &0.019 &0.009 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0.011 &0.079 &0.01 &0.01\\ \hline R1-6 &0.115 &0.001 &0.001 &0.006 &0.001 &0.014 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-7 &0.014 &0.04 &0.113 &0.095 &0.133 &0.077 &0.009 &0.008 &0.024 &0.014 &0.053 &0.084 &0.058 &0.015 &0 &0 &0 &0 &0 &0 &0 &0 &0.013 &0.003 &0.011 &0.002 &0.001\\ \hline R2-1 &0.007 &0.007 &0.045 &0.025 &0.002 &0.01 &0.003 &0.006 &0.017 &0.017 &0.046 &0.004 &0.006 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0 &0 &0.002 &0\\ \hline R2-2 &0.008 &0.031 &0.03 &0.005 &0.005 &0.011 &0.003 &0.061 &0.005 &0.005 &0.006 &0.004 &0.005 &0.13 &0 &0 &0 &0 &0 &0 &0 &0 &0.004 &0 &0.001 &0.004 &0\\ \hline R2-3 &0.001 &0.004 &0.006 &0.002 &0.001 &0.002 &0.001 &0.084 &0.097 &0.002 &0.004 &0.001 &0.001 &0.016 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-4 &0.002 &0.004 &0.007 &0.003 &0.001 &0.007 &0.001 &0.09 &0.097 &0.002 &0.005 &0.001 &0.001 &0.13 &0 &0 &0 &0 &0 &0 &0 &0 &0.004 &0 &0 &0.004 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0.002 &0 &0 &0 &0 &0 &0 &0 &0.042 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-6 &0 &0.001 &0.002 &0.001 &0 &0.001 &0 &0.027 &0.031 &0.001 &0.013 &0.006 &0 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0.006 &0.005 &0.007 &0.007 &0.008 &0.047 &0.007 &0 &0.001 &0.001 &0.001 &0.004 &0.003 &0.004 &0 &0 &0 &0 &0 &0 &0 &0 &0.033 &0.002 &0.004 &0.031 &0.001\\ \hline R3-1 &0.084 &0.003 &0.004 &0.005 &0.001 &0.053 &0 &0.033 &0.078 &0.001 &0.032 &0.001 &0.072 &0.015 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0.001 &0.001 &0.003 &0.001 &0 &0.007 &0 &0.039 &0.037 &0.007 &0.002 &0 &0 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0.001 &0.003 &0.003 &0 &0 &0.001 &0 &0.007 &0.085 &0.007 &0.001 &0 &0 &0.011 &0 &0.03 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0.001 &0 &0 &0 &0 &0.001 &0 &0.002 &0.004 &0 &0 &0 &0.001 &0.001 &0.012 &0.03 &0.024 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.095 &0.002 &0.005 &0.006 &0.001 &0.117 &0 &0.046 &0.04 &0.007 &0.004 &0.003 &0.001 &0.008 &0.001 &0 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.14 &0.004 &0.03 &0.009 &0.002 &0.148 &0.002 &0.053 &0.095 &0.003 &0.048 &0.074 &0.007 &0.023 &0.042 &0 &0 &0 &0.006 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-7 &0.095 &0.002 &0.004 &0.006 &0.001 &0.117 &0 &0.039 &0.023 &0.031 &0.045 &0.032 &0.001 &0.011 &0.001 &0 &0 &0 &0 &0.03 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0.001 &0.002 &0.003 &0.001 &0 &0.001 &0 &0.041 &0.046 &0.037 &0.002 &0 &0 &0.008 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0.016 &0.103 &0.156 &0.113 &0.135 &0.095 &0.106 &0.007 &0.028 &0.02 &0.021 &0.11 &0.075 &0.101 &0 &0 &0 &0 &0 &0 &0 &0 &0.01 &0.047 &0.039 &0.04 &0.008\\ \hline R4-2 &0.013 &0.057 &0.088 &0.069 &0.103 &0.081 &0.066 &0.006 &0.018 &0.012 &0.013 &0.035 &0.105 &0.106 &0 &0 &0 &0 &0 &0 &0 &0 &0.051 &0.009 &0.051 &0.072 &0.084\\ \hline R4-3 &0.011 &0.094 &0.078 &0.081 &0.061 &0.08 &0.151 &0.006 &0.02 &0.013 &0.017 &0.029 &0.109 &0.07 &0 &0 &0 &0 &0 &0 &0 &0 &0.023 &0.055 &0.016 &0.118 &0.119\\ \hline R4-4 &0.012 &0.058 &0.09 &0.105 &0.12 &0.069 &0.133 &0.004 &0.018 &0.013 &0.015 &0.027 &0.03 &0.02 &0 &0 &0 &0 &0 &0 &0 &0 &0.088 &0.028 &0.079 &0.014 &0.011\\ \hline R4-5 &0.009 &0.013 &0.033 &0.103 &0.141 &0.038 &0.016 &0.002 &0.01 &0.007 &0.004 &0.053 &0.012 &0.139 &0 &0 &0 &0 &0 &0 &0 &0 &0.074 &0.025 &0.028 &0.035 &0.005\\ \hline \end{array} $$Sharpen综合影响矩阵$$T-Sharpen=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{27 \times27}} &R1-1 &R1-2 &R1-3 &R1-4 &R1-5 &R1-6 &R1-7 &R2-1 &R2-2 &R2-3 &R2-4 &R2-5 &R2-6 &R2-7 &R3-1 &R3-2 &R3-3 &R3-4 &R3-5 &R3-6 &R3-7 &R3-8 &R4-1 &R4-2 &R4-3 &R4-4 &R4-5\\ \hline R1-1 &0.013 &0.011 &0.018 &0.05 &0.014 &0.114 &0.006 &0.001 &0.005 &0.004 &0.002 &0.002 &0.003 &0.001 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.001 &0 &0\\ \hline R1-2 &0.01 &0.007 &0.085 &0.074 &0.117 &0.04 &0.048 &0.02 &0.059 &0.052 &0.053 &0.049 &0.048 &0.018 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0.003 &0.009 &0.002 &0.002\\ \hline R1-3 &0.019 &0.006 &0.01 &0.008 &0.013 &0.108 &0.044 &0.021 &0.098 &0.075 &0.074 &0.085 &0.109 &0.026 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.001 &0.001 &0.001 &0\\ \hline R1-4 &0.011 &0.008 &0.07 &0.003 &0.003 &0.092 &0.004 &0.008 &0.062 &0.045 &0.014 &0.007 &0.009 &0.011 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.01 &0.001 &0.001 &0.001\\ \hline R1-5 &0.052 &0.023 &0.096 &0.058 &0.011 &0.11 &0.017 &0.003 &0.014 &0.01 &0.009 &0.019 &0.02 &0.011 &0 &0 &0 &0 &0 &0 &0 &0 &0.008 &0.018 &0.08 &0.016 &0.017\\ \hline R1-6 &0.106 &0.001 &0.002 &0.005 &0.001 &0.012 &0.001 &0 &0.001 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-7 &0.014 &0.042 &0.106 &0.09 &0.122 &0.074 &0.009 &0.009 &0.023 &0.013 &0.053 &0.081 &0.057 &0.016 &0 &0 &0 &0 &0 &0 &0 &0 &0.011 &0.007 &0.01 &0.004 &0.003\\ \hline R2-1 &0.019 &0.018 &0.055 &0.028 &0.003 &0.024 &0.004 &0.008 &0.029 &0.017 &0.055 &0.006 &0.007 &0.06 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0 &0 &0.002 &0\\ \hline R2-2 &0.012 &0.034 &0.034 &0.008 &0.005 &0.013 &0.004 &0.059 &0.006 &0.005 &0.007 &0.008 &0.005 &0.119 &0 &0 &0 &0 &0 &0 &0 &0 &0.004 &0 &0.001 &0.004 &0\\ \hline R2-3 &0.003 &0.004 &0.007 &0.003 &0.001 &0.003 &0.001 &0.082 &0.095 &0.002 &0.012 &0.001 &0.001 &0.023 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-4 &0.003 &0.005 &0.008 &0.004 &0.002 &0.009 &0.001 &0.085 &0.092 &0.002 &0.005 &0.002 &0.001 &0.12 &0 &0 &0 &0.002 &0 &0 &0 &0 &0.004 &0 &0.001 &0.004 &0\\ \hline R2-5 &0.001 &0 &0.001 &0.001 &0 &0.003 &0 &0.01 &0.001 &0 &0.001 &0 &0.01 &0.051 &0 &0 &0 &0 &0 &0 &0 &0 &0.002 &0 &0 &0.002 &0\\ \hline R2-6 &0.001 &0.002 &0.003 &0.001 &0 &0.002 &0 &0.035 &0.042 &0.001 &0.013 &0.012 &0.001 &0.02 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-7 &0.006 &0.005 &0.008 &0.007 &0.008 &0.056 &0.007 &0 &0.002 &0.001 &0.001 &0.004 &0.004 &0.004 &0 &0 &0 &0 &0 &0 &0 &0 &0.036 &0.002 &0.004 &0.034 &0.001\\ \hline R3-1 &0.085 &0.004 &0.006 &0.006 &0.002 &0.057 &0.001 &0.037 &0.081 &0.009 &0.036 &0.01 &0.07 &0.016 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-2 &0.002 &0.002 &0.004 &0.002 &0 &0.007 &0 &0.049 &0.045 &0.017 &0.003 &0.001 &0.001 &0.008 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-3 &0.001 &0.003 &0.003 &0.001 &0 &0.002 &0 &0.015 &0.086 &0.014 &0.001 &0.008 &0.001 &0.011 &0 &0.03 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0.001 &0.001 &0.002 &0.001 &0 &0.001 &0 &0.018 &0.02 &0.015 &0.002 &0.001 &0.001 &0.003 &0.01 &0.031 &0.022 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.091 &0.003 &0.006 &0.006 &0.002 &0.111 &0.001 &0.049 &0.042 &0.014 &0.004 &0.003 &0.001 &0.008 &0.001 &0 &0 &0 &0 &0.031 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.128 &0.005 &0.029 &0.008 &0.003 &0.135 &0.002 &0.054 &0.09 &0.01 &0.048 &0.071 &0.012 &0.022 &0.034 &0 &0 &0 &0.005 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-7 &0.091 &0.003 &0.005 &0.006 &0.002 &0.111 &0.001 &0.042 &0.026 &0.032 &0.043 &0.036 &0.008 &0.012 &0.001 &0 &0 &0 &0 &0.029 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0.002 &0.003 &0.005 &0.002 &0 &0.002 &0 &0.052 &0.057 &0.045 &0.013 &0.001 &0.001 &0.011 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0.016 &0.099 &0.145 &0.108 &0.127 &0.094 &0.101 &0.009 &0.028 &0.019 &0.021 &0.105 &0.074 &0.099 &0 &0 &0 &0 &0 &0 &0 &0 &0.011 &0.046 &0.042 &0.042 &0.016\\ \hline R4-2 &0.014 &0.062 &0.091 &0.073 &0.103 &0.087 &0.07 &0.008 &0.026 &0.013 &0.014 &0.034 &0.105 &0.108 &0 &0 &0 &0 &0 &0 &0 &0 &0.056 &0.009 &0.055 &0.074 &0.085\\ \hline R4-3 &0.011 &0.089 &0.074 &0.076 &0.058 &0.079 &0.137 &0.007 &0.02 &0.013 &0.017 &0.027 &0.101 &0.068 &0 &0 &0 &0 &0 &0 &0 &0 &0.022 &0.046 &0.015 &0.108 &0.11\\ \hline R4-4 &0.013 &0.059 &0.085 &0.101 &0.114 &0.07 &0.124 &0.005 &0.018 &0.016 &0.015 &0.026 &0.034 &0.026 &0 &0 &0 &0 &0 &0 &0 &0 &0.085 &0.024 &0.074 &0.013 &0.018\\ \hline R4-5 &0.01 &0.013 &0.031 &0.096 &0.129 &0.042 &0.015 &0.003 &0.01 &0.007 &0.008 &0.053 &0.012 &0.128 &0 &0 &0 &0 &0 &0 &0 &0 &0.071 &0.027 &0.025 &0.03 &0.006\\ \hline \end{array} $$