A NEW RANKING METHOD FOR SOLVING NANOGONAL FUZZY TRAVELLING SALESMAN PROBLEM

  • Unique Paper ID: 149723
  • Volume: 7
  • Issue: 1
  • PageNo: 483-486
  • 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.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{149723,
        author = {R.Saravanan and Dr.M.Valliathal},
        title = {A NEW RANKING METHOD FOR SOLVING NANOGONAL FUZZY TRAVELLING SALESMAN PROBLEM},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {7},
        number = {1},
        pages = {483-486},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=149723},
        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.},
        keywords = {Nanogonal Fuzzy Number, Ranking Method, Numerical Example},
        month = {},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 7
  • Issue: 1
  • PageNo: 483-486

A NEW RANKING METHOD FOR SOLVING NANOGONAL FUZZY TRAVELLING SALESMAN PROBLEM

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