Methods for solving fuzzy assignment problems and fuzzy travelling salesman problems with different membership functions

Amit Kumar () and Anila Gupta ()
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Amit Kumar: Thapar University
Anila Gupta: Thapar University

Fuzzy Information and Engineering, 2011, vol. 3, issue 1, 3-21

Abstract: Abstract Mukherjee and Basu proposed a new method for solving fuzzy assignment problems. In this paper, some fuzzy assignment problems and fuzzy travelling salesman problems are chosen which cannot be solved by using the fore-mentioned method. Two new methods are proposed for solving such type of fuzzy assignment problems and fuzzy travelling salesman problems. The fuzzy assignment problems and fuzzy travelling salesman problems which can be solved by using the existing method, can also be solved by using the proposed methods. But, there exist certain fuzzy assignment problems and fuzzy travelling salesman problems which can be solved only by using the proposed methods. To illustrate the proposed methods, a fuzzy assignment problem and a fuzzy travelling salesman problem is solved. The proposed methods are easy to understand and apply to find optimal solution of fuzzy assignment problems and fuzzy travelling salesman problems occurring in real life situations.

Keywords: Fuzzy assignment problem; Fuzzy travelling salesman problem; Yager’s ranking index; L-R fuzzy number (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0062-0

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