2014Unpublished venueRequires access

solving fuzzy transportation problem using symmetric triangular fuzzy number

S. Nareshkumar, S. Kumara Ghuru

Open publisher page 7 citations

Abstract

The transportation problem is one of the earliest applications of linear programming problems. In the literature, several methods are proposed for solving transportation problems in fuzzy environment but in all the proposed methods, the parameters are normal fuzzy numbers. In this paper, a general fuzzy transportation problem is discussed. In the proposed method, transportation cost, availability and demand of the product are represented by symmetric triangular fuzzy numbers. We develop fuzzy version of Vogel’s algorithms for finding fuzzy optimal solution of fuzzy transportation problem. A numerical example is given to show the efficiency of the method.

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What this paper is about

The transportation problem is one of the earliest applications of linear programming problems. In the literature, several methods are proposed for solving transportation problems in fuzzy environment but in all the proposed methods, the parameters are normal fuzzy numbers. In this paper, a general fuzzy transportation problem is discussed. In the proposed method, transportation cost, availability and demand of the product are represented by symmetric triangular fuzzy numbers. We develop fuzzy version of Vogel’s algorithms for finding fuzzy optimal solution of fuzzy transportation problem. A numerical example is given to show the efficiency of the method.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The transportation problem is one of the earliest applications of linear programming problems. In the literature, several methods are proposed for solving transportation problems in fuzzy environment but in all the proposed methods, the parameters are normal fuzzy numbers. In this paper, a general fuzzy transportation problem is discussed. In the proposed method, transportation cost, availability and demand of the product are represented by symmetric triangular fuzzy numbers. We develop fuzzy version of Vogel’s algorithms for finding fuzzy optimal solution of fuzzy transportation problem. A numerical example is given to show the efficiency of the method.

Key concepts: Fuzzy transportation, Fuzzy number, Fuzzy set operations, Fuzzy logic, Transportation theory, Mathematical optimization, Defuzzification, Fuzzy classification

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