An extension of the linear programming method with fuzzy parameters

Adel Hatami-Marbini, Madjid Tavana

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

In a recent paper, Jiménez 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 Jiménez 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 Jiménez 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 Jiménez et al.'s (2007) method.

Original languageEnglish
Pages (from-to)44-55
Number of pages12
JournalInternational Journal of Mathematics in Operational Research
Volume3
Issue number1
Early online date6 Dec 2010
DOIs
Publication statusPublished - 1 Dec 2011
Externally publishedYes

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