Title: A suggested method for solving capacitated location problems under fuzzy environment

Authors: Maged G. Iskander

Addresses: Faculty of Business Administration, Economics and Political Science, The British University in Egypt, Postal No. 11837, P.O. Box 43, El-Sherouk City, Cairo, Egypt

Abstract: In this paper, a new approach for solving fuzzy capacitated location problems is proposed. Both the capacity and the demand constraints are considered fuzzy while the objective function is not. A membership function is defined for the non-fuzzy objective function to convert it to a fuzzy one. The α- cut is used for the membership functions. The max-min approach is utilised within the proposed method. The models which are in the form of mixed zero-one nonlinear programs are transformed to their equivalent linear ones. Four mixed zero-one linear programs are required to be sequentially solved. The solution of the fourth program represents the ultimate optimal solution of the problem. The suggested approach is illustrated by a numerical example.

Keywords: fuzzy programming; fuzzy capacitated location problem; max-min approach; Chang's linearisation approach; mixed zero-one programs.

DOI: 10.1504/IJOR.2020.107541

International Journal of Operational Research, 2020 Vol.38 No.3, pp.392 - 402

Received: 10 Feb 2017
Accepted: 06 Nov 2017
Published online: 01 Jun 2020 *

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