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Article type: Research Article
Authors: Shahzadi, Gulfam | Akram, Muhammad
Affiliations: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
Correspondence: [*] Corresponding author. Gulfam Shahzadi, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: gulfamshahzadi22@gmail.com.
Abstract: With the rapid increase of COVID-19, mostly people are facing antivirus mask shortages. It is necessary to select a good antivirus mask and make it useful for everyone. For maximize the efficacy of the antivirus masks, we propose a decision support algorithm based on the concept of Fermatean fuzzy soft set (FFSfS). The basic purpose of this article is to introduce the notion of FFSfS to deal with problems involving uncertainty and complexity corresponding to various parameters. Here, the valuable properties of FFSfS are merged with the Yager operator to propose four new operators, namely, Fermatean fuzzy soft Yager weighted average (FFSfYWA), Fermatean fuzzy soft Yager ordered weighted average (FFSfYOWA), Fermatean fuzzy soft Yager weighted geometric (FFSfYWG) and Fermatean fuzzy soft Yager ordered weighted geometric (FFSfYOWG) operators. The fundamental properties of proposed operators are discussed. For the importance of proposed operators, a multi-attribute group decision-making (MAGDM) strategy is presented along with an application for the selection of an antivirus mask over the COVID-19 pandemic. The comparison with existing operators shows that existing operators cannot deal with data involving parametric study but developed operators have the ability to deal decision-making problems using parameterized information.
Keywords: Fermatean fuzzy soft numbers, Yager operators, Aggregation operators, Antivirus mask selection, TOPSIS method
DOI: 10.3233/JIFS-201760
Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 1, pp. 1401-1416, 2021
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