FUZZY GOAL PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NON-LINEAR MEMBERSHIP FUNCTIONS

Document Type: Research Paper

Authors

1 Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran

2 Department of Basic Sciences, Shiraz University of Technology, Shiraz, Iran

Abstract

The linear multiobjective transportation problem is a special type
of vector minimum problem in which constraints are all equality type and the
objectives are conicting in nature. This paper presents an application of
fuzzy goal programming to the linear multiobjective transportation problem.
In this paper, we use a special type of nonlinear (hyperbolic and exponential)
membership functions to solve multiobjective transportation problem. It gives
an optimal compromise solution. The obtained result has been compared with
the solution obtained by using a linear membership function. To illustrate the
methodology some numerical examples are presented.

Keywords


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