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Article type: Research Article
Authors: Ahmed, Dliouaha | Dai, Binxianga | Mostafa Khalil, Ahmedb; *
Affiliations: [a] School of Mathematics and Statistics, Central South University, Changsha, Hunan, P.R. China | [b] Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt
Correspondence: [*] Corresponding author. Ahmed Mostafa Khalil, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt. Tel.: +201028082950; E-mail: [email protected].
Abstract: This paper aims to introduce a new multiple attribute decision-making model named possibility Fermatean fuzzy soft set (PFFSS), which is a combination of the generalized fuzzy soft sets and Fermatean fuzzy sets. Some operations and properties of the new model, including complement, restricted union, and extended intersection are discussed. Further, an application of PFFSSs is modeled for multiple attribute decision-making and solved with the help of our newly launched algorithm, that is, the selection of the best eco-system model based on a computer simulation report. Finally, a comparative analysis between the initiated PFFSS model and some existing approaches is provided to show its reliability over them.
Keywords: Fermatean fuzzy set, possibility Fermatean fuzzy soft set, algorithm, multiple attribute decision-making
DOI: 10.3233/JIFS-221614
Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 2, pp. 1565-1574, 2023
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