Solution of a system of linear equations with fuzzy numbers
type: Item
instance of: scholarly article
title: Solution of a system of linear equations with fuzzy numbers
zbMATH Open document ID: 1183.65048
published in: Fuzzy Sets and Systems
publication date: 2009-08-28T00:00:00Z
review text: This paper deals with system of linear equations whose parameters are fuzzy. It is inspired by results of interval arithmetic and tries to extend some of these to a fuzzy setting. The results are proved in monoidal T-norm based logic and the solutions to fuzzy linear equations are determined by the truth degree of membership formulas for the solution of the linear system in fuzzy logic. The paper includes computed examples and topics for further research.
reviewed by: Frank Uhlig
Mathematics Subject Classification ID: 65G40
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 65F05
Mathematics Subject Classification ID: 15B15
Mathematics Subject Classification ID: 08A72
zbMATH DE Number: 5599430
zbMATH Keywords: linear system
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: fuzzy arithmetic
zbMATH Keywords: fuzzy interval
zbMATH Keywords: interval analysis
zbMATH Keywords: united solution set
zbMATH Keywords: numerical examples
zbMATH Keywords: fuzzy linear equations
author: Rostislav Horčík
MaRDI profile type: Publication
full work available at URL: j.fss.2008.01.018
OpenAlex ID: W2089135909
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DOI: 10.1016/J.FSS.2008.01.018
description: scientific article; zbMATH DE number 5599430