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

Balasundaram Baranidharan, Ieva Meidute-Kavaliauskiene (), Ghanshaym S. Mahapatra and Renata Činčikaitė
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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

Sustainability, 2022, vol. 14, issue 24, 1-17

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.

Keywords: Fermatean fuzzy set; sustainable transportation; traveling salesman problem; score function; Hungarian method (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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