Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices

被引：17
|
作者：
Sun, Feng [1 ]
机构：
[1] Leshan Normal Univ, Coll Math & Informat Sci, Leshan 614004, Sichuan, Peoples R China
来源：
INFORMATION SCIENCES | 2012年 / 205卷
基金：
中国国家自然科学基金; 国家教育部博士点专项基金资助;
关键词：
Fuzzy relation; Fuzzy relation equations; The least solution; Minimal solutions; Complete Brouwerian lattices; RESOLUTION;
D O I：
10.1016/j.ins.2012.04.002
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 paper discusses properties and existence conditions of minimal solutions to sup-inf fuzzy relation equations over complete Brouwerian lattices. The relationship between minimal solutions to a system of fuzzy relation equations and minimal solutions to a fuzzy relation equation in the system is illustrated by two examples. Necessary and sufficient conditions for the existence of the least solution and minimal solutions to a system of fuzzy relation equations are given. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：86 / 92
页数：7
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