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Fuzzy linear programming with vague objective coefficients in an uncertain environment

Author

Listed:
  • P Vasant

    (Nilai International College
    Universiti Malaysia Sabah)

  • R Nagarajan

    (Universiti Malaysia Sabah)

  • S Yaacob

    (Universiti Malaysia Sabah)

Abstract

In this paper, a new fuzzy linear programming (FLP)-based methodology using a specific membership function named modified logistic membership function is proposed. The modified logistic membership function is first formulated and its flexibility established by an analytical approach. This membership function is tested for its useful performance through an illustrative example by employing FLP. The developed methodology of FLP has provided confidence in applying to real-life industrial production planning problem. This approach of solving industrial production planning problem can provide feedback to the decision maker, implementer and analyst. In such cases, this approach can be called interactive FLP. There is a possibility to design the self-organizing of the fuzzy system for the product mix selection problem in order to find a satisfactory solution. The decision maker, analyst and implementer can incorporate their knowledge and experience to obtain the best outcome.

Suggested Citation

  • P Vasant & R Nagarajan & S Yaacob, 2005. "Fuzzy linear programming with vague objective coefficients in an uncertain environment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 597-603, May.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:5:d:10.1057_palgrave.jors.2601855
    DOI: 10.1057/palgrave.jors.2601855
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    References listed on IDEAS

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    1. Gardiner, Lorraine R. & Steuer, Ralph E., 1994. "Unified interactive multiple objective programming," European Journal of Operational Research, Elsevier, vol. 74(3), pages 391-406, May.
    2. Rommelfanger, Heinrich, 1996. "Fuzzy linear programming and applications," European Journal of Operational Research, Elsevier, vol. 92(3), pages 512-527, August.
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    Cited by:

    1. Bhattacharya, Arijit & Vasant, Pandian, 2007. "Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP," European Journal of Operational Research, Elsevier, vol. 177(1), pages 55-70, February.

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