Matrix elementary transformations in solving systems of fuzzy-relation equations

被引：4
|
作者：
Qu, Xiao-bing [1 ]
Sun, Feng [1 ]
Wang, Tian-fei [1 ]
机构：
[1] Leshan Normal Univ, Coll Math & Informat Sci, Leshan 614004, Sichuan, Peoples R China
来源：
APPLIED SOFT COMPUTING | 2015年 / 31卷
基金：
中国国家自然科学基金;
关键词：
System of fuzzy relation equations; Solution set; Matrix elementary transformations; Complete Brouwerian lattice; RESOLUTION;
D O I：
10.1016/j.asoc.2015.02.020
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we consider a method using matrix elementary transformations, which is similar to the method in linear algebraic systems, for solving systems of fuzzy relation equations. The solution sets of a system of fuzzy relation equations before and after performing some elementary transformations are compared. We also give some necessary and sufficient conditions for some elementary transformations which do not change the solution sets. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：25 / 29
页数：5
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