max-product合成模糊关系方程有惟一解的判别方法

The Determinant Method That a Fuzzy Relational Equation with max-product Composition Has a Unique Solution

本文讨论[0,1]格上max-product合成模糊关系方程有惟一解的判定问题。首先定义了两个剩余算子ψ与β.然后定义并给出了max-product合成模糊关系方程的特征矩阵。最后用特征矩阵给出max-product合成模糊关系方程有惟一解的判定方法。

This paper investigates how to determine whether a fuzzy relational equation with max-product composition has a unique solution. It first defines two residual operators φ and β, then introduces a characteristic matrix of the fuzzy relational equation. It finally uses the characteristic matrix to give the determinant method that the fuzzy relational equation has a unique solution.