A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation....

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Main Authors:	S.H Nasseri, E. Darban Jafari, R. Chameh
Format:	Article
Language:	English
Published:	Islamic Azad University, Rasht Branch 2015-12-01
Series:	Iranian Journal of Optimization
Subjects:	Fuzzy linear programming Fuzzy number fuzzy ordering simplex algorithm
Online Access:	http://ijo.iaurasht.ac.ir/article_522574_c3dd2d1913e459a1396bfb421a87e3ee.pdf

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spelling	doaj-1e4f7e4a64a14fdab2e48451511b9f672020-11-24T21:28:35ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-54272015-12-01072849855522574A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programmingS.H Nasseri0E. Darban Jafari1R. Chameh2Department of Mathematics, University of Mazandaran, Babolsar, IranDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.Department of Mathematics, University of Mazandaran, Babolsar, Iran.Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.http://ijo.iaurasht.ac.ir/article_522574_c3dd2d1913e459a1396bfb421a87e3ee.pdfFuzzy linear programmingFuzzy numberfuzzy orderingsimplex algorithm
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S.H Nasseri E. Darban Jafari R. Chameh
spellingShingle	S.H Nasseri E. Darban Jafari R. Chameh A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming Iranian Journal of Optimization Fuzzy linear programming Fuzzy number fuzzy ordering simplex algorithm
author_facet	S.H Nasseri E. Darban Jafari R. Chameh
author_sort	S.H Nasseri
title	A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
title_short	A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
title_full	A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
title_fullStr	A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
title_full_unstemmed	A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
title_sort	new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
publisher	Islamic Azad University, Rasht Branch
series	Iranian Journal of Optimization
issn	2588-5723 2008-5427
publishDate	2015-12-01
description	Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.
topic	Fuzzy linear programming Fuzzy number fuzzy ordering simplex algorithm
url	http://ijo.iaurasht.ac.ir/article_522574_c3dd2d1913e459a1396bfb421a87e3ee.pdf
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A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming

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