Solution sets of inf-αJ fuzzy relational equations on complete Brouwerian lattices

被引：12

作者：

Xiong, Qing-quan ^{[1
]}

Wang, Xue-ping ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 21期

基金：

中国国家自然科学基金;

关键词：

fuzzy relational equation; complete brouwerian lattice; maximal solution; solution set;

D O I：

10.1016/j.ins.2007.03.033

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This work studies the problem of solving a fuzzy relational equation with inf-alpha(I)- composition on a complete Brouwerian lattice, where I is a pseudo-t-norm. Two necessary and sufficient conditions that solution sets are nonempty are obtained. When I is normal and the solution set of the equation is nonempty, a sufficient condition that there exists maximal solutions is given. Further, the solution set of the equation is presented. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：4757 / 4767

页数：11

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