A New Algorithm To Solve Fuzzy Transportation Problem Using Ranking Function

B. Mallia; S.K. Behera; M. Das

doi:https://doi.org/10.14445/22315373/IJMTT-V67I5P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 5 | Year 2021 | Article Id. IJMTT-V67I5P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I5P518

A New Algorithm To Solve Fuzzy Transportation Problem Using Ranking Function

B. Mallia, S.K. Behera, M. Das

Citation :

B. Mallia, S.K. Behera, M. Das, "A New Algorithm To Solve Fuzzy Transportation Problem Using Ranking Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 5, pp. 168-174, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I5P518

Abstract

In the literature, several methods are proposed for solving transportation problems in fuzzy environment . There are several papers in the literature in which generalized fuzzy numbers are used for solving real life problems . In this paper, a new method is proposed for solving fuzzy transportation problems by assuming the transportation cost, supply and demand of the product are fuzzy triangular numbers . The proposed method is a direct extension of classical method so the proposed method is very easy to understand and to apply on real life transportation problems for the decision makers. The solution procedure is illustrated through numerical example. The paper has significant implication in other variety study of linear programming problem.

Keywords

Fuzzy cost matrix ,Fuzzy triangular number, Fuzzy transportation problem, Ranking function.

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