A note on unsolvable systems of max-min (fuzzy) equations
type: Item
instance of: scholarly article
title: A note on unsolvable systems of max-min (fuzzy) equations
zbMATH Open document ID: 0971.15002
DOI: 10.1016/S0024-3795(00)00060-4
published in: Linear Algebra and its Applications
publication date: 2001-10-30T00:00:00Z
review text: For unsolvable systems of linear equations of the form \(A \otimes x=b\) over the max-min (fuzzy) algebra \({\mathcal R}=(\langle 0,1\rangle, \oplus =\max, \otimes= \min)\), the author proposes an efficient method for finding a Chebyshev-best approximation of the matrix \(A\in{\mathcal R}(m,n)\) in the set \({\mathcal S}(b)= \{D\in {\mathcal R}(m,n); D\otimes x=b\) is solvable\}.
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 1453256
zbMATH Keywords: max-min fuzzy algebra
zbMATH Keywords: systems of linear equations
zbMATH Keywords: Chebyshev approximation
zbMATH Keywords: unsolvable systems
author: Katarina Cechlárová
reviewed by: Rodica Covaci
MaRDI profile type: Publication
cites work: Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
cites work: Resolving infeasibility in extremal algebras
cites work: Minimax algebra
cites work: Residuation in fuzzy algebra and some applications
cites work: Fuzzy linear systems
cites work: A note on resolving infeasibility in linear programs by constraint relaxation
description: scientific article; zbMATH DE number 1453256