Fuzzy goal programming for multiobjective transportation problems

Authors:
M. Zangiabadi;H. R. Maleki
Affiliations:
Faculty of Mathematics and Computer Sciences, Kerman University, Kerman, Iran;Department of Basic Sciences, Shiraz University of Technology, Shiraz, Iran
Venue:
Journal of Applied Mathematics and Computing
Year:
2007

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Abstract

Several fuzzy approaches can be considered for solving multi-objective transportation problem. This paper presents a fuzzy goal programming approach to determine an optimal compromise solution for the multiobjective transportation problem. We assume that each objective function has a fuzzy goal. Also we assign a special type of nonlinear (hyperbolic) membership function to each objective function to describe each fuzzy goal. The approach focuses on minimizing the negative deviation variables from 1 to obtain a compromise solution of the multiobjective transportation problem. We show that the proposed method and the fuzzy programming method are equivalent. In addition, the proposed approach can be applied to solve other multiobjective mathematical programming problems. A numerical example is given to illustrate the efficiency of the proposed approach.