On the new solutions for a fully fuzzy linear system
type: Item
instance of: scholarly article
title: On the new solutions for a fully fuzzy linear system
zbMATH Open document ID: 1329.65085
author: N. E. Zubov
published in: Soft Computing
publication date: 2015-11-09T00:00:00Z
review text: After defining fully interval linear systems and fully fuzzy linear systems, the authors restrict themselves to such systems with trapezoidal fuzzy numbers and propose a solution of such problems by solving two programming problems the objective function of which is linear but the restrictions contain nonlinear equations as well. In case the programming problem does not possess a suitable solution, they define a fuzzy surrounding solution and a fuzzy peripheral solution. These solutions, which are contained in a tolerable fuzzy solution set, respectively in a controllable fuzzy solution set, are shown to be obtainable by solving corresponding nonlinear programming problems. If a fully fuzzy linear systems possesses both a fuzzy surrounding and a fuzzy peripheral solution which coincide, the authors show that then that solution is solving the fully fuzzy linear system. The paper concludes by exhibiting three academic examples and one example with economic background.
reviewed by: Gisbert Stoyan
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 15B15
zbMATH DE Number: 6506250
zbMATH Keywords: fully fuzzy linear system
zbMATH Keywords: nonlinear programming problems
zbMATH Keywords: fuzzy surrounding solution
zbMATH Keywords: fuzzy peripheral solution
MaRDI profile type: Publication
full work available at URL: s00500-013-1037-3
OpenAlex ID: W2047341491
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DOI: 10.1007/S00500-013-1037-3
description: scientific article; zbMATH DE number 6506250