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.
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页码：4757 / 4767
页数：11
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