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    • Keywords


      Transportation problem; multi-objective decision making; intuitionistic fuzzy programming; interval programming; goal programming.

    • Abstract


      Multi-objective transportation problem (MOTP) under intuitionistic fuzzy (IF) environment is analysed in this paper. Due to the fluctuation of market scenario, we assume that the transportation cost, the supply and the demand parameters are not always precise. Hence, the parameters are imprecise, i.e., they are IFnumbers. Considering the specific cut interval, the IF transportation cost matrix is converted to interval cost matrix in our proposed problem. Again, using the same concept, the IF supply and the IF demand of the MOTP are reduced to the interval form. Then the proposed MOTP is changed into the deterministic MOTP, whichincludes interval form of the objective functions. Two approaches, namely intuitionistic fuzzy programming and goal programming, are used to derive the optimal solutions of our proposed problem, and then the optimal solutions are compared. A numerical example is included to illustrate the feasibility and the applicability of the proposed problem. Finally, we present the conclusions with the future scopes of our study.

    • Author Affiliations



      1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
      2. Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr 47651-61964, Iran
      3. Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18014, Spain
    • Dates

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