Solving Transitive Fuzzy Travelling Salesman Problem using Yager’s Ranking Function

 International Journal of Engineering Trends and Technology (IJETT) © 2016 by IJETT Journal Volume-39 Number-6 Year of Publication : 2016 Authors : Dr. V Jeyanthi, Anish K C DOI :  10.14445/22315381/IJETT-V39P259

Citation

Dr. V Jeyanthi, Anish K C"Solving Transitive Fuzzy Travelling Salesman Problem using Yager’s Ranking Function", International Journal of Engineering Trends and Technology (IJETT), V39(6),343-345 September 2016. ISSN:2231-5381. www.ijettjournal.org. published by seventh sense research group

Abstract
Fuzzy numbers can be used to solve many real life problems like Travelling Salesman problems, Assignment Problems, Allocation problems etc. In this paper a new method is proposed for solving travelling salesman problems using transitive fuzzy numbers. The transitive trapezoidal fuzzy numbers is used to solve a general travelling salesman problem with an optimal solution. The efficiency of this method is proved by solving a numerical problem.

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Keywords
Fuzzy numbers, transitive trapezoidal fuzzy numbers, ?-level cut, Yager’s ranking function, Hungarian method.