Solvability and unique solvability of max-min fuzzy equations

被引：35

作者：

Gavalec, M ^{[1
]}

机构：

[1] Univ Technol Kosice, Fac Elect Engn & Informat, Dept Math, Kosice, Slovakia

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 124卷 / 03期

关键词：

solvability; fuzzy algebra; max-min algebra; fuzzy relation equation;

D O I：

10.1016/S0165-0114(01)00108-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The problem of solvability and the problem of unique solvability of a fuzzy relation equation in an arbitrary max-min algebra are considered and corresponding necessary and sufficient conditions are presented. The results allow to solve both problems by an O(mnp) algorithm, where m,n,p are the dimensions of the corresponding relations in the equation. The existence of the greatest and of the least solution is also considered. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：385 / 393

页数：9

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