A new approach for solving fully fuzzy linear systems
type: Item
instance of: scholarly article
title: A new approach for solving fully fuzzy linear systems
zbMATH Open document ID: 1236.15005
DOI: 10.1155/2011/943161
author: Amit Kumar
author: Babbar Neetu
author: Abhinav Bansal
published in: Advances in Fuzzy Systems
publication date: 2012-03-08T00:00:00Z
review text: Summary: Several authors have proposed different methods to find the solution of fully fuzzy linear systems (FFLSs) that is, fuzzy linear systems with fuzzy coefficients involving fuzzy variables. But all the existing methods are based on the assumption that all the fuzzy coefficients and the fuzzy variables are nonnegative fuzzy numbers. In this paper a new method is proposed to solve an FFLS with arbitrary coefficients and arbitrary solution vector, that is, there is no restriction on the elements that have been used in the FFLS. The primary objective of this paper is thus to introduce the concept and a computational method for solving FFLS with no non negative constraint on the parameters. The method incorporates the principles of linear programming in solving an FFLS with arbitrary coefficients and is not only easier to understand but also widens the scope of fuzzy linear equations in scientific applications. To show the advantages of the proposed method over existing methods we solve three FFLSs.
Mathematics Subject Classification ID: 15A06
Mathematics Subject Classification ID: 15B15
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 6013309
zbMATH Keywords: fuzzy linear systems
zbMATH Keywords: linear programming
MaRDI profile type: Publication
Wikidata QID: Q58655037
full work available at URL: https://doi.org/10.1155/2011/943161
OpenAlex ID: W2026672961
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DBLP publication ID: journals/afs/KumarNB11
description: scientific article; zbMATH DE number 6013309