A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables

We investigate the p-median problem with fuzzy variables and weights of vertices. The fuzzy equalities and inequalities transform to crisp cases by using some technique used in fuzzy linear programming. We show that the fuzzy objective function also can be replaced by crisp functions. Therefore an a...

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Main Authors:	Fatemeh Taleshian, Jafar Fathali
Format:	Article
Language:	English
Published:	Hindawi Limited 2016-01-01
Series:	Advances in Operations Research
Online Access:	http://dx.doi.org/10.1155/2016/7590492

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spelling	doaj-fe3a00c9bcbe4001897c1caf1cb67e562020-11-25T00:32:14ZengHindawi LimitedAdvances in Operations Research1687-91471687-91552016-01-01201610.1155/2016/75904927590492A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and VariablesFatemeh Taleshian0Jafar Fathali1Department of Mathematics, Shahrood University of Technology, University Boulevard, Shahrood 3619995161, IranDepartment of Mathematics, Shahrood University of Technology, University Boulevard, Shahrood 3619995161, IranWe investigate the p-median problem with fuzzy variables and weights of vertices. The fuzzy equalities and inequalities transform to crisp cases by using some technique used in fuzzy linear programming. We show that the fuzzy objective function also can be replaced by crisp functions. Therefore an auxiliary linear programming model is obtained for the fuzzy p-median problem. The results are compared with two previously proposed methods.http://dx.doi.org/10.1155/2016/7590492
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Fatemeh Taleshian Jafar Fathali
spellingShingle	Fatemeh Taleshian Jafar Fathali A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables Advances in Operations Research
author_facet	Fatemeh Taleshian Jafar Fathali
author_sort	Fatemeh Taleshian
title	A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables
title_short	A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables
title_full	A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables
title_fullStr	A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables
title_full_unstemmed	A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables
title_sort	mathematical model for fuzzy p-median problem with fuzzy weights and variables
publisher	Hindawi Limited
series	Advances in Operations Research
issn	1687-9147 1687-9155
publishDate	2016-01-01
description	We investigate the p-median problem with fuzzy variables and weights of vertices. The fuzzy equalities and inequalities transform to crisp cases by using some technique used in fuzzy linear programming. We show that the fuzzy objective function also can be replaced by crisp functions. Therefore an auxiliary linear programming model is obtained for the fuzzy p-median problem. The results are compared with two previously proposed methods.
url	http://dx.doi.org/10.1155/2016/7590492
work_keys_str_mv	AT fatemehtaleshian amathematicalmodelforfuzzypmedianproblemwithfuzzyweightsandvariables AT jafarfathali amathematicalmodelforfuzzypmedianproblemwithfuzzyweightsandvariables AT fatemehtaleshian mathematicalmodelforfuzzypmedianproblemwithfuzzyweightsandvariables AT jafarfathali mathematicalmodelforfuzzypmedianproblemwithfuzzyweightsandvariables
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A Mathematical Model for Fuzzy p-Median Problem with Fuzzy Weights and Variables

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