Journal Article

·2016 OPEN ACCESS

A Fuzzy programming approach for interval multiobjective solid transportation problem

Hasan Dalman YTU

New Trends in Mathematical Science

Abstract

This paper presents a fuzzy programming approach for solvingInterval Multiobjective Solid Transportation Problem (IMOSTP). In real worldapplication, IMOSTP appears to be more realistic than a conventional SolidTransportation Problem (STP) as available data is uncertain. In such a problemthe solution process is very complex. By applying the order relation on theintervals, it is first transformed into a crisp multiobjective solidtransportation problem. After determining the individual optimal solution ofeach objective, a fuzzy programming approach is constructed to achieve thePareto optimal solution of IMOSTP. Finally, a numerical example is illustratedto demonstrate the feasibility of the presented solution procedure.

Keywords

Interval (graph theory) Fuzzy logic Multiobjective programming Mathematical optimization Computer science Fuzzy transportation Multi-objective optimization Mathematics Fuzzy set Fuzzy set operations Artificial intelligence

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences