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Article type: Research Article
Authors: Bhatia, Tanveen Kaura | Kumar, Amita | Appadoo, S.S.b; *
Affiliations: [a] School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to be University), Patiala, Punjab, India | [b] Department of Supply Chain Management, University of Manitoba,, Winnipeg, Manitoba, Canada
Correspondence: [*] Corresponding author. S.S. Appadoo, Department of Supply Chain Management, University of Manitoba, Winnipeg, Manitoba, Canada. E-mail: SS.Appadoo@umanitoba.ca.
Abstract: Enayattabr et al. (Journal of Intelligent and Fuzzy Systems 37 (2019) 6865– 6877) claimed that till now no one has proposed an approach to solve interval-valued trapezoidal fuzzy all-pairs shortest path problems (all-pairs shortest path problems in which distance between every two nodes is represented by an interval-valued trapezoidal fuzzy number). Also, to fill this gap, Enayattabr et al. proposed an approach to solve interval-valued trapezoidal fuzzy all-pairs shortest path problems. In this paper, an interval-valued trapezoidal fuzzy shortest path problem is considered to point out that Enayattabr et al.’s approach fails to find correct shortest distance between two fixed nodes. Hence, it is inappropriate to use Enayattabr et al.’s approach in its present from. Also, the required modifications are suggested to resolve this inappropriateness of Enayattabr et al.’s approach.
Keywords: Interval-valued trapezoidal fuzzy all-pairs shortest path problem, interval-valued trapezoidal fuzzy numbers, signed distance ranking
DOI: 10.3233/JIFS-210182
Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 6, pp. 6389-6406, 2021
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