Title: An extension of the linear programming method with fuzzy parameters

Authors: Adel Hatami-Marbini, Madjid Tavana

Addresses: Louvain School of Management, Center of Operations Research and Econometrics (CORE), Universite Catholique de Louvain, 34 Voie du Roman Pays, B-1348 Louvain-le-Neuve, Belgium. ' Management Information Systems, Lindback Distinguished Chair of Information Systems, La Salle University, Philadelphia, PA 19141, USA

Abstract: In a recent paper, Jimenez et al. (2007) propose a |general| and |interactive| method for solving linear programming problems with fuzzy parameters. In this study, we propose a revision to the optimal crisp value of the objective function to eliminate the restrictive constraints imposed by Jimenez et al. (2007). The revised approach can be generalised to solve many real-world linear programming problems where the coefficients are fuzzy numbers. In contrary to the approach proposed by Jimenez et al. (2007), our method is rightfully general and interactive, as it provides an optimal solution that is not subject to specific restrictive conditions and supports the interactive participation of the Decision-Maker (DM) in all steps of the decision-making process. We also present a counterexample to illustrate the merits of the proposed method and the drawbacks of Jimenez et al.|s (2007) method.

Keywords: FLP; fuzzy linear programming; fuzzy sets; decision making.

DOI: 10.1504/IJMOR.2011.037312

International Journal of Mathematics in Operational Research, 2011 Vol.3 No.1, pp.44 - 55

Available online: 03 Dec 2010 *

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