Fuzzy programming technique with new exponential membership function for the solution of multiobjective transportation problem with mixed constraints

Abstract

Multiobjective transportation problem with mixed constraints is one of the special class of vector minimum problem in which the objective functions are conflicting in nature, non commensurable and constraints are inequality and equality type. In this paper, we have proposed a method to obtain a solution of multiobjective transportation problem with mixed constraints in which the availability and/or demand constraints are in-equations instead of usual equations using fuzzy programming technique with new exponential membership function. This method gives efficient solutions and the best compromise solution for the multiobjective transportation problem with mixed constraints. LINGO software is used to find the best compromise solution. The proposed algorithm is illustrated by a numerical example.