An Approximation Method for Fuzzy Fixed-Charge Transportation Problem

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 8، 4 (FALL) - شماره پیاپی 32، بهمن 2018، صفحه 259-267   

نوع مقاله: Full Length Article

نویسندگان

Ali Mahmoodirad^{* 1}؛ Masoud Sanei²

¹Department of Mathematics, Masjed- Soleiman Branch, Islamic Azad University, Masjed -Soleiman, Iran

²Department of Mathematics, Islamic Azad University, Central Tehran Branch, Iran.

چکیده

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.

کلیدواژه‌ها

Fixed charge Transportation problem؛ fuzzy numbers؛ Transportation problem؛ Approximation