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Fuzzy Assignment Problem:A New Solution Approach


Affiliations
1 Department of Mathematics, SRM University, Kattankulathur, Chennai - 603203, India
     

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In this paper we propose a new method to find the fuzzy optimal solution of assignment problems with fuzzy parameters. We develop fuzzy version of Hungarian algorithm for the solution of fuzzy assignment problems without converting them to classical assignment problems. The proposed method is easy to understand and to apply for finding solution of fuzzy assignment problems occurring in real life situations. To illustrate the proposed method an example is provided and the obtained results are discussed.


Keywords

Fuzzy Sets, Fuzzy Numbers, Fuzzy Assignment Problem, Fuzzy Ranking, Fuzzy Arithmetic.
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  • Fuzzy Assignment Problem:A New Solution Approach

Abstract Views: 179  |  PDF Views: 3

Authors

M. Shanmugasundari
Department of Mathematics, SRM University, Kattankulathur, Chennai - 603203, India
K. Ganesan
Department of Mathematics, SRM University, Kattankulathur, Chennai - 603203, India

Abstract


In this paper we propose a new method to find the fuzzy optimal solution of assignment problems with fuzzy parameters. We develop fuzzy version of Hungarian algorithm for the solution of fuzzy assignment problems without converting them to classical assignment problems. The proposed method is easy to understand and to apply for finding solution of fuzzy assignment problems occurring in real life situations. To illustrate the proposed method an example is provided and the obtained results are discussed.


Keywords


Fuzzy Sets, Fuzzy Numbers, Fuzzy Assignment Problem, Fuzzy Ranking, Fuzzy Arithmetic.