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Assessing the Sustainability of the Prepandemic Impact on Fuzzy Traveling Sellers Problem with a New Fermatean Fuzzy Scoring Function

Author

Listed:
  • Balasundaram Baranidharan

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Ieva Meidute-Kavaliauskiene

    (Research Group on Logistics and Defense Technology Management, General Jonas Žemaitis Military Academy of Lithuania, Silo St. 5A, 10332 Vilnius, Lithuania)

  • Ghanshaym S. Mahapatra

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Renata Činčikaitė

    (Research Group on Logistics and Defense Technology Management, General Jonas Žemaitis Military Academy of Lithuania, Silo St. 5A, 10332 Vilnius, Lithuania)

Abstract

This article focused on transportation sustainability during the COVID-19 pandemic situation under the Fermatean fuzzy environment. In both developed and developing nations, sustainability has risen to the top of the priority list for transportation policies and planning. We introduce a simplified presentation of the Fermatean fuzzy traveling seller problem solved by using a new computation approach. Several approaches for solving the traveling seller problem using fuzzy parameters have been described in the literature. Even so, all the current strategies use general fuzzy numbers as the parameters for the traveling salesman problems, but his study, focused on the new Fermatean fuzzy number, is more effective for representing real-life incidents. The Fermatean fuzzy scoring functions and numerical conditions in distinct models in the Fermatean fuzzy environment were described to construct the algorithm. New solution methodology developed through scoring functions to find the best solution to fulfill our goal of sustainable transportation for traveling sellers problem. Sustainable cost and the optimal path are obtained by this study.

Suggested Citation

  • Balasundaram Baranidharan & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "Assessing the Sustainability of the Prepandemic Impact on Fuzzy Traveling Sellers Problem with a New Fermatean Fuzzy Scoring Function," Sustainability, MDPI, vol. 14(24), pages 1-17, December.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:24:p:16560-:d:999298
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    References listed on IDEAS

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    Cited by:

    1. Cheng-Hsiung Tsai & Yu-Da Lin & Cheng-Hong Yang & Chien-Kun Wang & Li-Chun Chiang & Po-Jui Chiang, 2023. "A Biogeography-Based Optimization with a Greedy Randomized Adaptive Search Procedure and the 2-Opt Algorithm for the Traveling Salesman Problem," Sustainability, MDPI, vol. 15(6), pages 1-14, March.

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