An Approximation Method for Fuzzy Fixed-Charge Transportation Problem

Subject Areas : International Journal of Mathematical Modelling & Computations

Ali Mahmoodirad ¹ (Department of Mathematics, Masjed- Soleiman Branch, Islamic Azad University, Masjed -Soleiman, Iran)
Masoud Sanei ² (Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran.)

Received: 2018-12-03 Accepted : 2019-03-22 Published : 2018-11-01

Keywords: Approximation, fuzzy numbers, Fixed charge Transportation problem, Transportation problem,

Abstract :

In this paper, we develop the fuzzy fixed charge transportation problem when the costs are the fuzzy numbers. The first step it transform into the classical fuzzy transportation problem. The next, we obtain the best approximation fuzzy on the optimal value of the fuzzy fixed-charge transportation problem. This method obtains a lower and upper bounds both on the fuzzy optimal value of the fuzzy fixed-charge transportation problem which can be easily obtained by using the approximation solution. Finally, the results of this paper have been illustrated by a numerical example.