一个关于Fuzzy关系方程是否有解的等价判别定理

An Equivalent Distinguishing Theorem about Whether There Is Any Solution on Fuzzy Relation Equation

Fuzzy关系方程已经广泛地应用于 Fuzzy综合评判、Fuzzy控制等领域。本文通过直接比较Fuzzy关系方程的系数与常数的大小 ,给出一个判别所给的 Fuzzy关系方程是否有解的行之有效的简便方法 ,并且在有解时还给出求其最大解、极小解及解集的方法。

Fuzzy relation equation has been widely applied in Fuzzy synthetical judgement, Fuzzy control and other field. By comparing big and small numbers between equation's coefficient and equation's constant, we give a simple and effective method on how to distinguish whether there is any solution on the given Fuzzy relation equation. And we still give some methods to solve its maximum solution,minimum solution and solution set when there is the solution.