Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization

被引：34

作者：

Carlos Diaz-Moreno, Juan ^{[1
]}

Medina, Jesus ^{[1
]}

Turunen, Esko ^{[2
]}

机构：

[1] Univ Cadiz, Dept Math, Cadiz, Spain

[2] Vienna Univ Technol, Res Unit Computat Log, Vienna, Austria

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 311卷

关键词：

Fuzzy relation equations; Minimal solutions; Residual structures; COMPLETE BROUWERIAN LATTICES; COVERING PROBLEM; IMPLICATION OPERATORS; RESOLUTION; ALGORITHM;

D O I：

10.1016/j.fss.2016.02.004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper considers a general fuzzy relation equation, which has minimal solutions, if it is solvable. In this case, an algebraic characterization is introduced which provides an interesting method to compute minimal solutions in this general setting. Moreover, a comparison with other frameworks is also given. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：112 / 123

页数：12

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