Further contributions to the study of finite fuzzy relation equations
type: Item
instance of: scholarly article
title: Further contributions to the study of finite fuzzy relation equations
zbMATH Open document ID: 0645.04003
DOI: 10.1016/0165-0114(88)90008-5
author: Sizhong Guo
author: Pei-Zhuang Wang
author: Antonio Di Nola
author: Salvatore Sessa
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: Following \textit{K. H. Kim} and \textit{F. W. Roush} [Fuzzy Sets Syst. 4, 293- 315 (1980; Zbl 0451.20055)], with \(I=[0,1]\) some vector algebra for vectors from I n with scalars from I is developed. These results are used to give a sufficient condition for the existence of a minimal solution X for fuzzy relation equations \(X\circ R=B\), and to determine such a minimal solution if this condition holds true.
Mathematics Subject Classification ID: 03E99
Mathematics Subject Classification ID: 03E20
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4051620
zbMATH Keywords: fuzzy matrices
zbMATH Keywords: minimal solution
zbMATH Keywords: fuzzy relation equations
reviewed by: Siegfried J. Gottwald
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90008-5
OpenAlex ID: W2026781292
cites work: Fuzzy relation equations on a finite set
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cites work: Resolution of composite fuzzy relation equations
cites work: Q3924207
description: scientific article; zbMATH DE number 4051620