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Multiobjective Transportation Problem Using Fuzzy Decision Variable Through Multi-Choice Programming

Author

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  • Gurupada Maity

    (Vidyasagar University, Department of Applied Mathematics with Oceanology and Computer Programming, Midnapore, India)

  • Sankar Kumar Roy

    (Vidyasagar University, Department of Applied Mathematics with Oceanology and Computer Programming, Midnapore, India)

Abstract

This paper analyzes the study of Multiobjective Transportation Problem (MOTP) under the consideration of fuzzy decision variable. Usually, the decision variable in a Transportation Problem is taken as real variable. But, in this paper, the decision variable in each node is selected from a set of multi-choice fuzzy numbers. Inclusion of multiple objectives into transportation problem with fuzzy decision variable makes it a Multiobjective Fuzzy Transportation Problem (MOFTP). In this paper, a new formulation of mathematical model of MOFTP with fuzzy goal of each objective function is enlisted. Thereafter the solution technique of the formulated model is described through multi-choice goal programming approach. Finally, a numerical example is presented to show the feasibility and usefulness of this article.

Suggested Citation

  • Gurupada Maity & Sankar Kumar Roy, 2017. "Multiobjective Transportation Problem Using Fuzzy Decision Variable Through Multi-Choice Programming," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 8(3), pages 82-96, July.
    • Handle: RePEc:igg:joris0:v:8:y:2017:i:3:p:82-96
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