选择的模糊算子对如下
$$ \begin{array} {c|c}{OP} & 模糊乘 \odot & 模糊加 \oplus \\ \hline 名称 &\color{red}{取最小} &\color{blue}{取最大} \\ \hline 计算公式 &\color{red}{min(p,q)} &\color{blue}{max(p,q) } \\ \hline \end{array} $$
模糊相乘矩阵
$$\tilde B=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.05 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.01\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0 &0 &0 &1 &0 &0 &0.18 &0.21 &0 &0\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0 &0 &0 &0 &0\\ \hline F &0 &0 &0 &0 &0 &1 &0 &0 &0.17 &0\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0 &0 &0 &0 &0 &0 &0 &1 &0.99 &0\\ \hline I &0.32 &0.55 &0 &0 &0 &0 &0 &0 &1 &0\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$
求解过程
$$\tilde B_{1}=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.05 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.01\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0 &0 &0 &1 &0 &0 &0.18 &0.21 &0 &0\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0 &0 &0 &0 &0\\ \hline F &0 &0 &0 &0 &0 &1 &0 &0 &0.17 &0\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0 &0 &0 &0 &0 &0 &0 &1 &0.99 &0\\ \hline I &0.32 &0.55 &0 &0 &0 &0 &0 &0 &1 &0\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$$$\tilde B_{2}=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.45 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.12\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0 &0 &0 &1 &0 &0 &0.18 &0.21 &0.21 &0\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0.02 &0.02 &0 &0.02 &0.25\\ \hline F &0.17 &0.17 &0 &0 &0 &1 &0 &0 &0.17 &0\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0.32 &0.55 &0 &0 &0 &0 &0 &1 &0.99 &0\\ \hline I &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &0 &1 &0.4\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$$$\tilde B_{3}=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.45 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.4\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0.21 &0.21 &0 &1 &0 &0 &0.18 &0.21 &0.21 &0\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0.02 &0.02 &0 &0.02 &0.25\\ \hline F &0.17 &0.17 &0.12 &0 &0 &1 &0.17 &0 &0.17 &0.17\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &1 &0.99 &0.4\\ \hline I &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &0 &1 &0.4\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$$$\tilde B_{4}=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.45 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.4\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0.21 &0.21 &0.12 &1 &0 &0.21 &0.21 &0.21 &0.21 &0.21\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0.02 &0.02 &0 &0.02 &0.25\\ \hline F &0.17 &0.17 &0.12 &0 &0 &1 &0.17 &0 &0.17 &0.17\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &1 &0.99 &0.4\\ \hline I &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &0 &1 &0.4\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$$$\tilde B_{5}=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.45 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.4\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0.21 &0.21 &0.12 &1 &0 &0.21 &0.21 &0.21 &0.21 &0.21\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0.02 &0.02 &0 &0.02 &0.25\\ \hline F &0.17 &0.17 &0.12 &0 &0 &1 &0.17 &0 &0.17 &0.17\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &1 &0.99 &0.4\\ \hline I &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &0 &1 &0.4\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$
模糊可达矩阵 $ \tilde R = \tilde B_{ 5}$
模糊可达矩阵
$$\tilde R=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.45 &0.12 &0 &0 &0.49 &0.34 &0 &0.45 &0.4\\ \hline B &0 &1 &0 &0 &0 &0 &0 &0 &0 &0.4\\ \hline C &0 &0 &1 &0 &0 &0 &0 &0 &0 &0.63\\ \hline D &0.21 &0.21 &0.12 &1 &0 &0.21 &0.21 &0.21 &0.21 &0.21\\ \hline E &0.02 &0.25 &0.03 &0 &1 &0.02 &0.02 &0 &0.02 &0.25\\ \hline F &0.17 &0.17 &0.12 &0 &0 &1 &0.17 &0 &0.17 &0.17\\ \hline G &0 &0 &0 &0 &0 &0 &1 &0 &0 &0\\ \hline H &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &1 &0.99 &0.4\\ \hline I &0.32 &0.55 &0.12 &0 &0 &0.32 &0.32 &0 &1 &0.4\\ \hline J &0 &0 &0 &0 &0 &0 &0 &0 &0 &1\\ \hline \end{array} $$