A Fuzzy programming approach for interval multiobjective solid transportation problem

Abstract

This paper presents a fuzzy programming approach for solving Interval Multiobjective Solid Transportation Problem (IMOSTP). In real world application, IMOSTP appears to be more realistic than a conventional Solid Transportation Problem (STP) as available data is uncertain. In such a problem the solution process is very complex. By applying the order relation on the intervals, it is first transformed into a crisp multiobjective solid transportation problem. After determining the individual optimal solution of each objective, a fuzzy programming approach is constructed to achieve the Pareto optimal solution of IMOSTP. Finally, a numerical example is illustrated to demonstrate the feasibility of the presented solution procedure.

Keywords

• Multiobjective programming,transportation problem,interval programming,Fuzzy programming

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