摘要
研究含max-min和max-product合成算子的模糊关系方程的极小解判别方法.定义若干个指标集,并得到判别模糊关系方程极小解的充要条件.综合这些充要条件,又构建基于指标集的模糊关系方程极小解的判别算法,并利用数值例子说明该算法的有效性.
In this paper,we introduce some theorems for checking the minimal solution of a system of fuzzy relation equations,with max-min or max-product composition. We first discuss a sufficient and necessary condition for a minimal solution of the fuzzy relation equations by defining some index sets. Next we give an algorithm to check whether a solution is a minimal solution of the equations.Some examples are provided to show the efficiency of our algorithm.
作者
林海涛
杨晓鹏
LIN Haitao, YANG Xiaopeng(School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, Guangdong)
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2018年第2期224-229,共6页
Journal of Sichuan Normal University（Natural Science）
基金
广东省自然科学基金(2016A030307037)
