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  • 标题:Neutrosophic Triangular Fuzzy Travelling Salesman Problem Based on Dhouib-Matrix-TSP1 Heuristi
  • 本地全文:下载
  • 作者:Souhail Dhouib
  • 期刊名称:International Journal of Computer and Information Technology
  • 印刷版ISSN:2279-0764
  • 出版年度:2021
  • 卷号:10
  • 期号:5
  • 页码:1-4
  • 语种:English
  • 出版社:International Journal of Computer and Information Technology
  • 摘要:In this paper, the Travelling Salesman Problem is considered in neutrosophic environment which is more realistic in real-world industries. In fact, the distances between cities in the Travelling Salesman Problem are presented as neutrosophic triangular fuzzy number. This problem is solved in two steps: At first, the Yager’s ranking function is applied to convert the neutrosophic triangular fuzzy number to neutrosophic number then to generate the crisp number. At second, the heuristic Dhouib-Matrix-TSP1 is used to solve this problem. A numerical test example on neutrosophic triangular fuzzy environment shows that, by the use of Dhouib-Matrix-TSP1 heuristic, the optimal or a near optimal solution as well as the crisp and fuzzy total cost can be reached.
  • 关键词:Neutrosophic;Fuzzy set;Optimization;Dhouib;Matrix;TP1 method;travelling salesman pro
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