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A New Method to Find the Unique Fuzzy Optimal Value of Fuzzy Linear Programming Problems

Author

Listed:
  • Jagdeep Kaur

    (Thapar University)

  • Amit Kumar

    (Thapar University)

Abstract

In this paper, shortcomings and limitations of the existing methods for solving fuzzy linear programming (FLP) problems are pointed out. To overcome the limitations as well as to resolve the shortcomings, a new method is proposed for solving FLP problems. To show the advantage of the proposed method over existing methods, a FLP problem is solved by the existing methods as well as the proposed method, and the obtained results are compared.

Suggested Citation

  • Jagdeep Kaur & Amit Kumar, 2013. "A New Method to Find the Unique Fuzzy Optimal Value of Fuzzy Linear Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 529-534, February.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:2:d:10.1007_s10957-012-0132-4
    DOI: 10.1007/s10957-012-0132-4
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    References listed on IDEAS

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    1. A. Ebrahimnejad & Seyed Hadi Nasseri, 2010. "A dual simplex method for bounded linear programmes with fuzzy numbers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(6), pages 762-779.
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    Cited by:

    1. Boris Pérez-Cañedo & José Luis Verdegay & Eduardo René Concepción-Morales & Alejandro Rosete, 2020. "Lexicographic Methods for Fuzzy Linear Programming," Mathematics, MDPI, vol. 8(9), pages 1-21, September.
    2. Reza Ghanbari & Khatere Ghorbani-Moghadam & Nezam Mahdavi-Amiri, 2021. "A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 403-424, June.
    3. Bogdana Stanojević & Milan Stanojević, 2016. "Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems," Fuzzy Optimization and Decision Making, Springer, vol. 15(4), pages 435-455, December.

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