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

1S. Subasri and K. Selvakumari

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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.

Keywords:

Neutrosophic Fuzzy Number, Triangular Neutrosophic Fuzzy Number, Fuzzy Travelling Salesman Algorithm, Graded Mean Approach, Score Function.

Paper Details
Month2
Year2020
Volume24
IssueIssue 4
Pages4903-4910