Solutions of fuzzy relation equations based on continuous t-norms

被引：61

作者：

Shieh, Bih-Sheue ^{[1
]}

机构：

[1] Nat Univ Tainan 33, Dept Math Educ, Tainan 700, Taiwan

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 19期

关键词：

fuzzy relation equations; sup-t-norm compositions; continuous t-norm; Archimedean t-norm;

D O I：

10.1016/j.ins.2007.04.006

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 study is concerned with fuzzy relation equations with continuous t-norms in the form ATR = B, where A and B are the fuzzy subsets of X and Y, respectively; R subset of X x Y is a fuzzy relation, and T is a continuous t-norm. The problem is how to determine A from R and B. First, an "if and only if " condition of being solvable is presented. Novel algorithms are then presented for determining minimal solutions when X and Y are finite. The proposed algorithms generate all minimal solutions for the equations, making them efficient solving procedures. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：4208 / 4215

页数：8

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