A NEW RANKING METHOD FOR SOLVING NANOGONAL FUZZY TRAVELLING SALESMAN PROBLEM

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ISSN: 2349-6002 ESTD Year: 2014

UGC approved journal no 47859

A NEW RANKING METHOD FOR SOLVING NANOGONAL FUZZY TRAVELLING SALESMAN PROBLEM
Author(s):
R.Saravanan, Dr.M.Valliathal
Keywords:
Nanogonal Fuzzy Number, Ranking Method, Numerical Example
Abstract
Travelling Salesman Problem is similar to Assignment problem. The objective of travelling salesman problem is to find the shortest possible route and minimizing the total travelling time. In this paper Travelling Salesman problem is considered with Nanogonal Fuzzy numbers. Nanogonal fuzzy numbers are defuzzified using new ranking method. Fuzzy Travelling Salesman problem is transformed into crisp travelling salesman problem and it is solved by Hungarian method. A numerical example is presented and the optimal solution is derived by using Hungarian method.
Article Details
Unique Paper ID: 149723 Publication Volume & Issue: Volume 7, Issue 1 Page(s): 483 - 486
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