Solving Neutrosophic Travelling Salesaman Problem in Triangular Fuzzy Number Using Ones Assignment Method

Solving Neutrosophic Travelling Salesaman Problem in Triangular Fuzzy Number Using Ones Assignment Method

Authors

  • S. Subasri and K. Selvakumari

Keywords:

Neutrosophic fuzzy number, Triangular Neutrosophic fuzzy number, Fuzzy travelling salesman algorithm, Graded mean approach, Score function

Abstract

Travelling salesman problem is awell-known studied problem and intensely
used in computational mathematics and management studies. In this paper we discuss a
Neutrosophictriangular fuzzy numbers which are more realistic in nature. Neutrosophic
triangular fuzzy numbers can converted to a Neutrosophic fuzzy numbers by using a
Pascal’s graded mean approach and then the problem is solved by ones assignment
method. Neutrosophic crisp travelling salesman problem also solved by using a score
function and finally find the optimality. Numerical examples are included for a fruitful way.

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Published

30-07-2018
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