Using the Fuzzy Russell’s Approximation and Fuzzy Modify Distribution Methods to Solve the Transport Problem in the Fuzzy Environment

Authors

  • Muna Shaker Salman Technical Institute / Alsuwayra, Middle Technical University, Baghdad, Iraq

DOI:

https://doi.org/10.51173/jt.v5i4.1035

Keywords:

Fuzzy Transportation Problem (FTP), Fuzzy Russell’s Approximation Method (FRAM), Fuzzy Modified Distribution Method (FMDM), Ranking Function (RF), Triangular Fuzzy Numbers (TFN)

Abstract

The transportation problem is one of the applications of linear programming problems. The traditional transportation problem assumes that the decision maker is sure of the transportation costs, supply, and demand for the product, but there are many cases in which the decision maker is not able to accurately determine the objective function data and/or constraints, so the fuzzy theory was used so that the decision-maker can determine that data. In this study, fuzzy Russell’s approximation method (FRAM) was developed to solve the fuzzy transport problem (FTP) when all the transport, supply, and demand cost parameters of the product are fuzzy numbers to get an initial basic feasible solution (IBFS). The fuzzy modify distribution method (FMDM) was also developed to test the fuzzy optimum solution from the accepted IBFS. The proposed methods are efficient, subtle, and easy to apply. To clarify the mechanism of action of these methods, an example was taken from real life and the problem of fuzzy transportation was solved in it.

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Published

2023-12-31

How to Cite

Muna Shaker Salman. (2023). Using the Fuzzy Russell’s Approximation and Fuzzy Modify Distribution Methods to Solve the Transport Problem in the Fuzzy Environment. Journal of Techniques, 5(4), 252–260. https://doi.org/10.51173/jt.v5i4.1035

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