Abstract
In this paper, we introduce the method for solving fuzzy transportation problem (FTP) using Robust’s ranking technique for the representative value of the fuzzy number. In addition we are using allocation table method (ATM) to find an initial basic feasible solution (IBFS) for the FTP. Moreover, this method is also good optimal solution in the literature and illustrated with numerical examples.
Highlights
The transportation problem is a special kind of optimization problem
The corresponding elements defining the problem can be formulated by means of fuzzy set, and the fuzzy transportation problem appears in a natural way
We introduce the method for solving fuzzy transportation problem (FTP) using Robust ranking technique for the representative value of the fuzzy number
Summary
The transportation problem is a special kind of optimization problem. Transportation problem aims at finding the least total transportation cost of goods in order to satisfy demand at destinations using available supplies at the sources. Darunee Hunwisai is currently a PhD student of Associate Professor Dr Poom Kumam Her field of interest is fuzzy optimization and fixed point theory. Four key success factors; robust ranking technique, ATM, modified distribution method and fuzzy theory were implemented. Srinivas and Ganesan (2015) obtained the optimal solution for intuitionistic fuzzy transportation problem via revised distribution method. We introduce the method for solving fuzzy transportation problem (FTP) using Robust ranking technique for the representative value of the fuzzy number. 2. Preliminaries we summarize some basic concepts of fuzzy set defined by Zadeh (1965), notation, definitions, and operations of TrFN which are used throughout the paper
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