Duality in fuzzy linear systems
type: Item
instance of: scholarly article
title: Duality in fuzzy linear systems
zbMATH Open document ID: 0945.15002
DOI: 10.1016/S0165-0114(98)00102-X
author: Ming Ma
author: Menahem Friedman
author: A. Kandel
published in: Fuzzy Sets and Systems
publication date: 2000-10-03T00:00:00Z
review text: As the authors say in their announced paper [see \textit{M. Friedman, M. Ma and A. Kandel}, Fuzzy linear systems, Fuzzy Sets Syst. (to appear)] they investigate a general model for solving an \(n{\times}n\) fuzzy linear system whose coefficient matrix is crisp and the right-hand side column is an arbitrary fuzzy vector. They use the parametric form of fuzzy numbers and replace the original system by a \((2n){\times}(2n)\) representation. This enables them to treat this problem using the theory of positive matrices. In the paper under review they apply the same approach to solve dual fuzzy linear systems and give two necessary and sufficient conditions for the existence of solutions.
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 1400242
zbMATH Keywords: fuzzy linear equation system
zbMATH Keywords: duality
zbMATH Keywords: embedding method
zbMATH Keywords: nonnegative matrix
reviewed by: Nikolai I. Osetinski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1400242