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A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables

Author

Listed:
  • Hamiden Abd El- Wahed Khalifa

    (Cairo University
    Qassim University)

  • Pavan Kumar

    (VIT Bhopal University)

Abstract

This article presents a fuzzy multi-objective linear fractional programming (FMOLFP) problem. The goal programming (GP) approach is used to solve the proposed problem. The $$LR$$ LR (Left and Right) possibilistic variables are addressed to the suggested the fuzzy multi-objective linear fractional programming (FMOLFP) model to deal the uncertainty of the model parameters. An auxiliary model in which objective function is the distance between the $$p -$$ p - ary $$\alpha -$$ α - optimal value restriction and $$p -$$ p - ary fuzzy objective function is proposed. In the last, one solved example is given to illustrate and to support the validity of the suggested approach.

Suggested Citation

  • Hamiden Abd El- Wahed Khalifa & Pavan Kumar, 2022. "A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(4), pages 2053-2061, August.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:4:d:10.1007_s13198-022-01618-0
    DOI: 10.1007/s13198-022-01618-0
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Harold P. Benson, 1985. "Note---Finding Certain Weakly-Efficient Vertices in Multiple Objective Linear Fractional Programming," Management Science, INFORMS, vol. 31(2), pages 240-248, February.
    3. D. Dutta & Pavan Kumar, 2015. "Application of fuzzy goal programming approach to multi-objective linear fractional inventory model," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2269-2278, September.
    4. Nykowski, Ireneusz & Zolkiewski, Zbigniew, 1985. "A compromise procedure for the multiple objective linear fractional programming problem," European Journal of Operational Research, Elsevier, vol. 19(1), pages 91-97, January.
    5. Jonathan S. H. Kornbluth & Ralph E. Steuer, 1981. "Multiple Objective Linear Fractional Programming," Management Science, INFORMS, vol. 27(9), pages 1024-1039, September.
    6. Pavan Kumar & Debashis Dutta, 2015. "Multi-objective linear fractional inventory model of multi-products with price-dependant demand rate in fuzzy environment," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(5), pages 547-565.
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