RESEARCH PAPER
Solving Neutrosophic Travelling Salesaman Problem in Triangular Fuzzy Number Using Ones Assignment Method
1 | Research Scholar, Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai, Tamilnadu |
Publication date: 2019-03-16
Eurasian J Anal Chem 2018;13(Engineering and Science SP):emEJAC181241
KEYWORDS
Neutrosophic fuzzy numberTriangular Neutrosophic fuzzy numberFuzzy travelling salesman algorithmGraded mean approachScore 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.