Adaptive algorithm for solving the four-index fuzzy transportation problem

Abstract

In this article, we present an adaption of a classical crisp method to solve the four index fuzzy transportation problem (FFTP). Using the ranking function of the fuzzy availabilities, requests and costs, we will adapt the least cost cell method to obtain an initial basic feasible solution. The optimal solution of the FFTP is then obtained by improvement of this initial solution. We will note our algorithm as $AL_{PTF4}$, it is an adaption of $AL_{PT4c}$ algorithm in fuzzy context without capacity. A numerical analysis is conducted by solving different examples of different sizes, it shows that the $AL_{PTF4}$ algorithm is stable, robust and efficient.