Multi-objective Transhipment problem with an additional entropy objective function using fuzzy programming

Abstract

In this paper, we propose a multi-objective transhipment problem where the source and destination parameters are chosen as triangular fuzzy numbers. There is an additional entropy objective function in the multi-objective transshipment problem.Using nearest interval approximation and total integral value of the fuzzy number, the problem is transformed into two types of crisp multi-objective problems. Finally, the transformed problems have been solved by fuzzy programming technique (using Bellman and Zadeh's (1970) minimum and additive operator). Numerical examples have been given to illustrate the original problem.