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Mehar’s methods for fuzzy assignment problems with restrictions

Author

Listed:
  • Amit Kumar

    (Thapar University)

  • Anila Gupta

    (Thapar University)

Abstract

In this paper, limitations of existing methods [5, 11] for solving fuzzy assignment problems (FAPs) are pointed out. In order to overcome the limitations of existing methods, two new methods named Mehar’s methods are proposed. To show the advantages of Mehar’s methods over existing methods, some FAPs are solved. The Mehar’s methods can solve the problems solved by existing methods as well as those which cannot be solved by existing methods.

Suggested Citation

  • Amit Kumar & Anila Gupta, 2013. "Mehar’s methods for fuzzy assignment problems with restrictions," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 27-44, March.
    • Handle: RePEc:spr:fuzinf:v:5:y:2013:i:1:d:10.1007_s12543-013-0131-7
    DOI: 10.1007/s12543-013-0131-7
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    References listed on IDEAS

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    1. Sakawa, Masatoshi & Nishizaki, Ichiro & Uemura, Yoshio, 2001. "Interactive fuzzy programming for two-level linear and linear fractional production and assignment problems: A case study," European Journal of Operational Research, Elsevier, vol. 135(1), pages 142-157, November.
    2. Dubois, Didier & Fortemps, Philippe, 1999. "Computing improved optimal solutions to max-min flexible constraint satisfaction problems," European Journal of Operational Research, Elsevier, vol. 118(1), pages 95-126, October.
    3. H. W. Kuhn, 1955. "The Hungarian method for the assignment problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 2(1‐2), pages 83-97, March.
    4. Pentico, David W., 2007. "Assignment problems: A golden anniversary survey," European Journal of Operational Research, Elsevier, vol. 176(2), pages 774-793, January.
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