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A MOLP Method for Solving Fully Fuzzy Linear Programming with LR Fuzzy Parameters

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  • Xiao-Peng Yang
  • Xue-Gang Zhou
  • Bing-Yuan Cao
  • S. H. Nasseri

Abstract

Kaur and Kumar, 2013, use Mehar’s method to solve a kind of fully fuzzy linear programming (FFLP) problems with LR fuzzy parameters. In this paper, a new kind of FFLP problems is introduced with a solution method proposed. The FFLP is converted into a multiobjective linear programming (MOLP) according to the order relation for comparing the LR flat fuzzy numbers. Besides, the classical fuzzy programming method is modified and then used to solve the MOLP problem. Based on the compromised optimal solution to the MOLP problem, the compromised optimal solution to the FFLP problem is obtained. At last, a numerical example is given to illustrate the feasibility of the proposed method.

Suggested Citation

  • Xiao-Peng Yang & Xue-Gang Zhou & Bing-Yuan Cao & S. H. Nasseri, 2014. "A MOLP Method for Solving Fully Fuzzy Linear Programming with LR Fuzzy Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, September.
    • Handle: RePEc:hin:jnlmpe:782376
    DOI: 10.1155/2014/782376
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