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

Gurupada Maity and Sankar Kumar Roy
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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

International Journal of Operations Research and Information Systems (IJORIS), 2017, vol. 8, issue 3, 82-96

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:igg:joris0:v:8:y:2017:i:3:p:82-96

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