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An extension of the linear programming method with fuzzy parameters

Author

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  • Adel Hatami-Marbini
  • Madjid Tavana

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.

Suggested Citation

  • Adel Hatami-Marbini & Madjid Tavana, 2011. "An extension of the linear programming method with fuzzy parameters," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 3(1), pages 44-55.
    • Handle: RePEc:ids:ijmore:v:3:y:2011:i:1:p:44-55
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    Cited by:

    1. Ali Ebrahimnejad, 2015. "A duality approach for solving bounded linear programming problems with fuzzy variables based on ranking functions and its application in bounded transportation problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2048-2060, August.

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