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 &0.0812 &0.0945 &0.396 &0.0945 &0.8697 &0.039 &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 &0.548 &0.548 &0.947 &0.1047 &0.3707 &0.0603 &0.3264 &0.3707 &0.3707 &0.3264 &0.3061 &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 &0.3071 &0.0929 &0.65 &0.35 &0 &0.65 &0 &0 &0 &0 &0 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.0271 &0.0929 &0.6071 &0.0378 &0.05\\ \hline R1-6 &0.8643 &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 &0.1071 &0.1071 &0.375 &0.1886 &0 &0.0625 &0 &0 &0.1071 &0.0839 &0.375 &0 &0 &0.375 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.0874 &0.2786 &0.2345 &0.0212 &0 &0 &0 &0.4988 &0 &0 &0 &0.0319 &0 &0.9833 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.6495 &0.7844 &0 &0.0648 &0 &0 &0.0648 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.7019 &0.7926 &0 &0 &0 &0 &0.9286 &0 &0 &0 &0.0248 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.0625 &0 &0 &0 &0 &0.0625 &0.375 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.2098 &0.2695 &0 &0.0816 &0.0703 &0 &0.053 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.2327 &0 &0 &0.2327 &0\\ \hline R3-1 &0.7584 &0 &0 &0 &0 &0.4559 &0 &0.2768 &0.708 &0.1029 &0.3259 &0.1029 &0.6696 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.0422 &0 &0.4055 &0.375 &0.1534 &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 &0.1346 &0.9038 &0.1896 &0 &0.1346 &0 &0 &0 &0.3409 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.1591 &0.1591 &0.1591 &0 &0 &0 &0 &0.0929 &0.301 &0.2143 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &1.0198 &0 &0 &0 &0 &1.2738 &0 &0.6389 &0.5357 &0.2579 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.4732 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &1.0893 &0 &0.219 &0 &0 &1.1389 &0 &0.4444 &0.7917 &0.0972 &0.4444 &0.6925 &0.0972 &0 &0.3265 &0 &0 &0 &0.0417 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &1.1786 & & & & &1.4643 & &0.6071 &0.3571 &0.5714 &0.6786 &0.6071 &0.25 & & & & & & &0.5357 & & & & & & &\\ \hline R3-8 & & & & & &0.0357 & &0.6786 &0.75 &0.6786 &0.25 & & & & & & & & & & & & & & & &\\ \hline R4-1 &0 &0.7321 &0.9107 &0.6875 &0.8214 &0.375 &0.6875 &0 &0 &0 &0 &0.6875 &0.375 &0.6875 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.3532 &0.2411 &0.2659 &0.0625\\ \hline R4-2 &0 &0.425 &0.5214 &0.3768 &0.6179 &0.425 &0.425 &0 &0.0677 &0 &0 &0.0905 &0.7625 &0.7625 &0 &0 &0 &0 &0 &0 &0 &0 &0.3768 &0 &0.3768 &0.5696 &0.7143\\ \hline R4-3 &0 &0.6495 &0.3347 &0.3347 &0.0648 &0.3796 &1.0093 &0 &0 &0 &0 &0 &0.6944 &0.3796 &0 &0 &0 &0 &0 &0 &0 &0 &0.0065 &0.337 &0 &0.8743 &0.9193\\ \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 &0.6591 &0.9621 &0.053 &0 &0 &0 &0 &0.0288 &0.3561 &0 &0.9621 &0 &0 &0 &0 &0 &0 &0 &0 &0.5292 &0.1674 &0.0899 &0.1582 &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 &0.081 &0.095 &0.396 &0.095 &0.87 &0.039 &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 &0.548 &0.548 &0.947 &0.105 &0.371 &0.06 &0.326 &0.371 &0.371 &0.326 &0.306 &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 &0.307 &0.093 &0.65 &0.35 &0 &0.65 &0 &0 &0 &0 &0 &0.05 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.027 &0.093 &0.607 &0.038 &0.05\\ \hline R1-6 &0.864 &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 &0.107 &0.107 &0.375 &0.189 &0 &0.063 &0 &0 &0.107 &0.084 &0.375 &0 &0 &0.375 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.087 &0.279 &0.235 &0.021 &0 &0 &0 &0.499 &0 &0 &0 &0.032 &0 &0.983 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.649 &0.784 &0 &0.065 &0 &0 &0.065 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0 &0 &0 &0 &0 &0 &0 &0.702 &0.793 &0 &0 &0 &0 &0.929 &0 &0 &0 &0.025 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.063 &0 &0 &0 &0 &0.063 &0.375 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.21 &0.269 &0 &0.082 &0.07 &0 &0.053 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.35 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.233 &0 &0 &0.233 &0\\ \hline R3-1 &0.758 &0 &0 &0 &0 &0.456 &0 &0.277 &0.708 &0.103 &0.326 &0.103 &0.67 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.042 &0 &0.405 &0.375 &0.153 &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 &0.135 &0.904 &0.19 &0 &0.135 &0 &0 &0 &0.341 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0 &0 &0 &0 &0 &0 &0 &0.159 &0.159 &0.159 &0 &0 &0 &0 &0.093 &0.301 &0.214 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &1.02 &0 &0 &0 &0 &1.274 &0 &0.639 &0.536 &0.258 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.473 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &1.089 &0 &0.219 &0 &0 &1.139 &0 &0.444 &0.792 &0.097 &0.444 &0.692 &0.097 &0 &0.327 &0 &0 &0 &0.042 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &1.179 &0 &0 &0 &0 &1.464 &0 &0.607 &0.357 &0.571 &0.679 &0.607 &0.25 &0 &0 &0 &0 &0 &0 &0.536 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.036 &0 &0.679 &0.75 &0.679 &0.25 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.732 &0.911 &0.688 &0.821 &0.375 &0.688 &0 &0 &0 &0 &0.688 &0.375 &0.688 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.353 &0.241 &0.266 &0.063\\ \hline R4-2 &0 &0.425 &0.521 &0.377 &0.618 &0.425 &0.425 &0 &0.068 &0 &0 &0.09 &0.763 &0.763 &0 &0 &0 &0 &0 &0 &0 &0 &0.377 &0 &0.377 &0.57 &0.714\\ \hline R4-3 &0 &0.649 &0.335 &0.335 &0.065 &0.38 &1.009 &0 &0 &0 &0 &0 &0.694 &0.38 &0 &0 &0 &0 &0 &0 &0 &0 &0.006 &0.337 &0 &0.874 &0.919\\ \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 &0.659 &0.962 &0.053 &0 &0 &0 &0 &0.029 &0.356 &0 &0.962 &0 &0 &0 &0 &0 &0 &0 &0 &0.529 &0.167 &0.09 &0.158 &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:9.7789219177309$$\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 &0.008 &0.01 &0.04 &0.01 &0.089 &0.004 &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 &0.056 &0.056 &0.097 &0.011 &0.038 &0.006 &0.033 &0.038 &0.038 &0.033 &0.031 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-3 &0.005 &0 &0 &0.001 &0.005 &0.085 &0.036 &0 &0.067 &0.063 &0.059 &0.067 &0.09 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-4 &0 &0.004 &0.057 &0 &0 &0.07 &0 &0 &0.043 &0.034 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.009 &0 &0 &0\\ \hline R1-5 &0.031 &0.009 &0.066 &0.036 &0 &0.066 &0 &0 &0 &0 &0 &0.005 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.003 &0.009 &0.062 &0.004 &0.005\\ \hline R1-6 &0.088 &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 &0.031 &0.071 &0.066 &0.097 &0.036 &0 &0 &0 &0 &0.036 &0.058 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.008 &0.003 &0 &0 &0\\ \hline R2-1 &0.011 &0.011 &0.038 &0.019 &0 &0.006 &0 &0 &0.011 &0.009 &0.038 &0 &0 &0.038 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-2 &0.009 &0.028 &0.024 &0.002 &0 &0 &0 &0.051 &0 &0 &0 &0.003 &0 &0.101 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-3 &0 &0 &0 &0 &0 &0 &0 &0.066 &0.08 &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 &0.072 &0.081 &0 &0 &0 &0 &0.095 &0 &0 &0 &0.003 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0 &0 &0.006 &0 &0 &0 &0 &0.006 &0.038 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-6 &0 &0 &0 &0 &0 &0 &0 &0.021 &0.028 &0 &0.008 &0.007 &0 &0.005 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0 &0 &0 &0 &0 &0.036 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.024 &0 &0 &0.024 &0\\ \hline R3-1 &0.078 &0 &0 &0 &0 &0.047 &0 &0.028 &0.072 &0.011 &0.033 &0.011 &0.068 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0 &0 &0 &0 &0 &0.004 &0 &0.041 &0.038 &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 &0.014 &0.092 &0.019 &0 &0.014 &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 &0.016 &0.016 &0.016 &0 &0 &0 &0 &0.009 &0.031 &0.022 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.104 &0 &0 &0 &0 &0.13 &0 &0.065 &0.055 &0.026 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.048 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.111 &0 &0.022 &0 &0 &0.116 &0 &0.045 &0.081 &0.01 &0.045 &0.071 &0.01 &0 &0.033 &0 &0 &0 &0.004 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-7 &0.121 &0 &0 &0 &0 &0.15 &0 &0.062 &0.037 &0.058 &0.069 &0.062 &0.026 &0 &0 &0 &0 &0 &0 &0.055 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-8 &0 &0 &0 &0 &0 &0.004 &0 &0.069 &0.077 &0.069 &0.026 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0 &0.075 &0.093 &0.07 &0.084 &0.038 &0.07 &0 &0 &0 &0 &0.07 &0.038 &0.07 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.036 &0.025 &0.027 &0.006\\ \hline R4-2 &0 &0.043 &0.053 &0.039 &0.063 &0.043 &0.043 &0 &0.007 &0 &0 &0.009 &0.078 &0.078 &0 &0 &0 &0 &0 &0 &0 &0 &0.039 &0 &0.039 &0.058 &0.073\\ \hline R4-3 &0 &0.066 &0.034 &0.034 &0.007 &0.039 &0.103 &0 &0 &0 &0 &0 &0.071 &0.039 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.034 &0 &0.089 &0.094\\ \hline R4-4 &0 &0.032 &0.035 &0.059 &0.068 &0.023 &0.086 &0 &0 &0.003 &0 &0 &0.006 &0.006 &0 &0 &0 &0 &0 &0 &0 &0 &0.068 &0.012 &0.052 &0 &0.006\\ \hline R4-5 &0 &0 &0 &0.067 &0.098 &0.005 &0 &0 &0 &0 &0.003 &0.036 &0 &0.098 &0 &0 &0 &0 &0 &0 &0 &0 &0.054 &0.017 &0.009 &0.016 &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 &0.009 &0.009 &0.014 &0.042 &0.011 &0.095 &0.005 &0.001 &0.003 &0.003 &0.002 &0.002 &0.002 &0.001 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.001 &0 &0\\ \hline R1-2 &0.007 &0.005 &0.072 &0.064 &0.102 &0.031 &0.042 &0.016 &0.05 &0.045 &0.045 &0.042 &0.04 &0.013 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.002 &0.007 &0.001 &0.001\\ \hline R1-3 &0.015 &0.004 &0.007 &0.005 &0.01 &0.09 &0.037 &0.015 &0.081 &0.064 &0.062 &0.071 &0.092 &0.018 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0.001 &0.001 &0\\ \hline R1-4 &0.008 &0.006 &0.06 &0.002 &0.002 &0.077 &0.003 &0.006 &0.051 &0.038 &0.011 &0.005 &0.006 &0.008 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0.009 &0.001 &0.001 &0.001\\ \hline R1-5 &0.04 &0.016 &0.076 &0.044 &0.007 &0.084 &0.012 &0.002 &0.009 &0.007 &0.006 &0.013 &0.014 &0.007 &0 &0 &0 &0 &0 &0 &0 &0 &0.005 &0.013 &0.064 &0.011 &0.012\\ \hline R1-6 &0.089 &0.001 &0.001 &0.004 &0.001 &0.008 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R1-7 &0.009 &0.035 &0.086 &0.074 &0.103 &0.058 &0.006 &0.006 &0.016 &0.009 &0.044 &0.067 &0.047 &0.01 &0 &0 &0 &0 &0 &0 &0 &0 &0.009 &0.005 &0.007 &0.002 &0.002\\ \hline R2-1 &0.013 &0.012 &0.041 &0.021 &0.002 &0.015 &0.002 &0.005 &0.02 &0.012 &0.042 &0.004 &0.004 &0.045 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-2 &0.011 &0.03 &0.029 &0.006 &0.004 &0.009 &0.003 &0.052 &0.005 &0.004 &0.005 &0.007 &0.004 &0.104 &0 &0 &0 &0 &0 &0 &0 &0 &0.003 &0 &0 &0.003 &0\\ \hline R2-3 &0.002 &0.003 &0.005 &0.002 &0 &0.002 &0 &0.071 &0.082 &0.001 &0.01 &0.001 &0.001 &0.019 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-4 &0.002 &0.004 &0.006 &0.002 &0.001 &0.005 &0.001 &0.076 &0.083 &0.001 &0.003 &0.001 &0.001 &0.107 &0 &0 &0 &0.003 &0 &0 &0 &0 &0.003 &0 &0 &0.003 &0\\ \hline R2-5 &0 &0 &0 &0 &0 &0.002 &0 &0.007 &0 &0 &0 &0 &0.006 &0.039 &0 &0 &0 &0 &0 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R2-6 &0.001 &0.001 &0.002 &0.001 &0 &0.001 &0 &0.024 &0.029 &0 &0.009 &0.007 &0 &0.01 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R2-7 &0.004 &0.003 &0.005 &0.004 &0.005 &0.039 &0.005 &0 &0.001 &0.001 &0.001 &0.003 &0.002 &0.002 &0 &0 &0 &0 &0 &0 &0 &0 &0.026 &0.001 &0.002 &0.025 &0.001\\ \hline R3-1 &0.084 &0.003 &0.005 &0.005 &0.001 &0.056 &0.001 &0.037 &0.079 &0.011 &0.036 &0.012 &0.069 &0.014 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-2 &0.001 &0.002 &0.003 &0.001 &0 &0.005 &0 &0.045 &0.041 &0.016 &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 &0.001 &0 &0.001 &0 &0.022 &0.096 &0.02 &0.001 &0.014 &0.001 &0.011 &0 &0.035 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-4 &0.001 &0.001 &0.001 &0.001 &0 &0.001 &0 &0.021 &0.022 &0.018 &0.001 &0.001 &0.001 &0.003 &0.009 &0.032 &0.022 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-5 &0.124 &0.004 &0.007 &0.007 &0.002 &0.149 &0.001 &0.073 &0.063 &0.028 &0.006 &0.004 &0.001 &0.01 &0.002 &0 &0 &0 &0 &0.048 &0 &0 &0 &0 &0 &0 &0\\ \hline R3-6 &0.128 &0.004 &0.029 &0.007 &0.002 &0.134 &0.002 &0.057 &0.092 &0.013 &0.051 &0.074 &0.016 &0.019 &0.033 &0 &0 &0 &0.004 &0 &0 &0 &0.001 &0 &0 &0.001 &0\\ \hline R3-7 &0.143 &0.004 &0.008 &0.008 &0.002 &0.172 &0.001 &0.078 &0.055 &0.061 &0.076 &0.067 &0.028 &0.019 &0.002 &0 &0 &0 &0 &0.055 &0 &0 &0.001 &0 &0 &0 &0\\ \hline R3-8 &0.002 &0.003 &0.006 &0.002 &0 &0.006 &0 &0.081 &0.086 &0.071 &0.03 &0.001 &0.001 &0.015 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline R4-1 &0.011 &0.086 &0.123 &0.092 &0.109 &0.075 &0.087 &0.005 &0.019 &0.014 &0.015 &0.089 &0.062 &0.084 &0 &0 &0 &0 &0 &0 &0 &0 &0.008 &0.04 &0.035 &0.036 &0.013\\ \hline R4-2 &0.01 &0.057 &0.081 &0.065 &0.093 &0.075 &0.064 &0.005 &0.021 &0.01 &0.011 &0.028 &0.096 &0.097 &0 &0 &0 &0 &0 &0 &0 &0 &0.051 &0.007 &0.05 &0.069 &0.079\\ \hline R4-3 &0.008 &0.078 &0.062 &0.064 &0.047 &0.065 &0.121 &0.005 &0.014 &0.009 &0.013 &0.02 &0.088 &0.058 &0 &0 &0 &0 &0 &0 &0 &0 &0.017 &0.04 &0.011 &0.096 &0.099\\ \hline R4-4 &0.008 &0.048 &0.066 &0.082 &0.093 &0.053 &0.103 &0.003 &0.012 &0.012 &0.01 &0.018 &0.025 &0.019 &0 &0 &0 &0 &0 &0 &0 &0 &0.072 &0.019 &0.061 &0.01 &0.014\\ \hline R4-5 &0.006 &0.009 &0.022 &0.08 &0.109 &0.03 &0.01 &0.002 &0.006 &0.005 &0.006 &0.044 &0.008 &0.109 &0 &0 &0 &0 &0 &0 &0 &0 &0.06 &0.022 &0.02 &0.024 &0.005\\ \hline \end{array} $$