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Optimization of fuzzy bi-objective fractional assignment problem

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  • Neha Gupta

    (Amity University)

Abstract

Theory and applications of fractional programming have been significantly developed in the few last decades and assignment problem is one of the fundamental combinatorial optimization problems in the branch of optimization. Generally, in real world problems, the possible values of coefficients of a linear fractional programming problem are often only imprecisely or ambiguously known to the decision maker, therefore, it would be certainly more appropriate to interpret the coefficients as fuzzy numerical data. In this article, a fuzzy bi-objective fractional assignment problem has been formulated. Here the parameters are represented by triangular fuzzy numbers and the fuzzy problem is transformed into standard crisp problem through $$\alpha $$ α -cut and then the compromise solution is derived by fuzzy programming.

Suggested Citation

  • Neha Gupta, 2019. "Optimization of fuzzy bi-objective fractional assignment problem," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 1091-1102, September.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:3:d:10.1007_s12597-019-00367-2
    DOI: 10.1007/s12597-019-00367-2
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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. 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.
    3. Werner Dinkelbach, 1967. "On Nonlinear Fractional Programming," Management Science, INFORMS, vol. 13(7), pages 492-498, March.
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    Cited by:

    1. Neha Gupta & J. K. Sharma, 2020. "Fuzzy multi-objective programming problem for revenue management in food industry," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(5), pages 349-354, October.

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