AN APPROACH TO SOLVE A FUZZY BI-OBJECTIVE MULTI-INDEX FIXED CHARGE TRANSPORTATION PROBLEM

In this paper, we propose a novel approach for solving a fuzzy bi-objective multi-index fixed-charge transportation problem where the aim is to minimize two objectives: the total transportation cost and transportation time. The parameters of the problem, such as fixed cost, variable cost, and transportation time are represented as fuzzy numbers. To extract crisp values from these parameters, a linear ranking function is used. The proposed approach initially separates the main problem into sub-problems. Then, it solves each sub-problem using different algorithms. After that, it determines the Pareto optimal solutions and trade-off pairs. To evaluate the performance of the proposed approach, various numerical problems of different sizes were solved. The results obtained are encouraging and show the efficiency of our approach.