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A fuzzy group decision support system for multifacility location problems

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Abstract

Multifacility location problems are considered to find optimal location of new facilities with respect to a set of existing ones. Generally, the objective of the problem is minimizing the total distance traveled between facilities. In this paper, a methodology is proposed for multifacility location problem, investigating decision makers’ opinion as a group decision-making problem. Since uncertainty of information in decision-making environment exists, we consider it by applying a fuzzy set theory. At first, the problem is formulated as a fuzzy multiobjective model. After introducing a decision support system based on fuzzy inference system and using fuzzy analytic hierarchy process approach for obtaining weights between facilities, at last, a two-phase fuzzy linear programming considering the concept of degree of satisfaction of each objective is applied to solve the multiobjective problem. Finally, a numerical example is given to illustrate the proposed method and a sensitivity analysis is expressed to show capability of the method for generating different optimal solutions based on the importance of each decision maker’s opinion.

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Authors and Affiliations

  1. Faculty of Engineering, Industrial Engineering Department, Shahed University, P.O. Box 18155/159, Tehran, Iran

    Mahdi Bashiri & Seyed Javad Hosseininezhad

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  1. Mahdi Bashiri
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  2. Seyed Javad Hosseininezhad
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Correspondence to Mahdi Bashiri.

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Bashiri, M., Hosseininezhad, S.J. A fuzzy group decision support system for multifacility location problems. Int J Adv Manuf Technol 42, 533–543 (2009). https://doi.org/10.1007/s00170-008-1621-3

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  • DOI: https://doi.org/10.1007/s00170-008-1621-3

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