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A simplified new approach for solving fully fuzzy transportation problems with involving triangular fuzzy numbers

Document Type : Review Paper

Authors

1 Faculty of Economics and Management (FSEG), University of Social Sciences and Management of Bamako (USSGB), Quartier du Fleuve Rue 310, Porte 238, Mali.

2 Department of Applied Mathematics (FSEG), Université des Sciences Sociales et de Gestion de Bamako (USSGB), Quartier du Fleuve Rue 310, Porte 238, Mali.

10.22105/jfea.2021.275280.1084

Abstract

Transportation Problem (TP) is an important network structured linear programming problem that arises in several contexts and has deservedly received a great deal of attention in the literature. The central concept in this problem is to find the least total transportation cost of a commodity in order to satisfy demands at destinations using available supplies at origins in a crisp environment. In real life situations, the decision maker may not be sure about the precise values of the coefficients belonging to the transportation problem. The aim of this paper is to introduce a formulation of TP involving Triangular fuzzy numbers for the transportation costs and values of supplies and demands. We propose a two-step method for solving fuzzy transportation problem where all of the parameters are represented by non-negative triangular fuzzy numbers i.e., an Interval Transportation Problems (TPIn) and a Classical Transport Problem (TP). Since the proposed approach is based on classical approach it is very easy to understand and to apply on real life transportation problems for the decision makers. To illustrate the proposed approach two application examples are solved. The results show that the proposed method is simpler and computationally more efficient than existing methods in the literature.

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References
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Journal of Fuzzy Extension and Applications
Volume 2, Issue 1
Winter 2021
Pages 89-105
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