Goal programming approach for solving multi-objective fractional transportation problem with fuzzy parameters

Abstract

In this paper, authors studied a goal programming approach for solving multi-objective fractional transportation problem by representing the parameters (γ , δ ) in terms of interval valued fuzzy numbers. Fuzzy goal programming problem with multiple objectives is difficult for the decision makers to determine the goal valued of each objective precisely. The proposed model presents a special type of non-linear (hyperbolic) membership functions to solve multi-objective fractional transportation problem with fuzzy parameters. To illustrate the proposed method numerical examples are solved.