Dhouib-Matrix-TSP1 Method to Optimize Octagonal Fuzzy Travelling Salesman Problem Using α-Cut Technique


  • Mariem Miledi Department of Quality Management, Higher Institute of Industrial Management, University of Sfax, Tunisia
  • Souhail Dhouib Department of Industrial Management, Higher Institute of Industrial Management, University of Sfax, Tunisia
  • Taicir Loukil Department of Quantitative Method Faculty of Management and Economic Sciences University of Sfax, Tunisia




Optimization; Fuzzy Numbers; Travelling Salesman Problem; Approximation Method; Ranking Function; α-Cut Technique


This paper proposes the optimization of the fuzzy travel salesman problem by using the α-Cut technique as a ranking function and the Dhouib-Matrix-TSP1 as an approximation method. This method is enhanced by the standard deviation metric and obtains a minimal tour in fuzzy environment where all parameters are octagonal fuzzy numbers.

Fuzzy numbers are converted into a crisp number thanks to the ranking function α-Cut. The proposed approach in details is discussed and illustrated by a numerical example. This method helps in designing successfully the tour to a salesman on navigation through the distance matrix so that it minimizes the total fuzzy distance.


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How to Cite

Miledi, M. ., Dhouib, S., & Loukil, T. . (2021). Dhouib-Matrix-TSP1 Method to Optimize Octagonal Fuzzy Travelling Salesman Problem Using α-Cut Technique. International Journal of Computer and Information Technology(2279-0764), 10(3). https://doi.org/10.24203/ijcit.v10i3.105