Fuzzy relation equations with equality and difference composition operators
type: Item
instance of: scholarly article
title: Fuzzy relation equations with equality and difference composition operators
zbMATH Open document ID: 0645.04004
DOI: 10.1016/0165-0114(88)90188-1
author: Witold Pedrycz
author: Antonio Di Nola
author: Salvatore Sessa
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: In the usual sup-min-composition for fuzzy relation equations \(A\circ R=B\) (A, B given fuzzy sets) the authors substitute min by an equivalence operator {\S} such that a{\S}b\(=\min (a,b)\) for \(a\neq b\), a{\S}b\(=1\) for \(a=b\). For the corresponding relation equation a solvability criterion is proven and the set of maximal solutions determined. The analogous results are given for a kind of ``dualized'' equations. Unfortunately, the authors give no convincing motivation for choosing those new types of relation equations.
Mathematics Subject Classification ID: 03E99
Mathematics Subject Classification ID: 03E20
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4051621
zbMATH Keywords: fuzzy relation equations
zbMATH Keywords: maximal solutions
reviewed by: Siegfried J. Gottwald
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90188-1
OpenAlex ID: W2029795273
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description: scientific article; zbMATH DE number 4051621