Dombi Aggregation Operators for <italic>p, qr</italic>&#x2013;Spherica Fuzzy Sets: Application in the Stability Assessment of Cryptocurrencies

Momna Akhtar; Muhammad Rahim; Agaeb Mahal Alanzi; Sadique Ahmad; Joseph Malose Fatlane; Maggie Aphane; Hamiden Abd El-Wahed Khalifa

doi:10.1109/ACCESS.2023.3346916

IEEE Access (Jan 2024)

Dombi Aggregation Operators for <italic>p, qr</italic>–Spherica Fuzzy Sets: Application in the Stability Assessment of Cryptocurrencies

Momna Akhtar,
Muhammad Rahim,
Agaeb Mahal Alanzi,
Sadique Ahmad,
Joseph Malose Fatlane,
Maggie Aphane,
Hamiden Abd El-Wahed Khalifa

Affiliations

Momna Akhtar: Department of Mathematics, Hazara University, Mansehra, Pakistan
Muhammad Rahim: Department of Mathematics, Hazara University, Mansehra, Pakistan
Agaeb Mahal Alanzi: Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya, Saudi Arabia
Sadique Ahmad: EIAS: Data Science and Blockchain Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia
Joseph Malose Fatlane: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Medunsa, South Africa
Maggie Aphane: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Medunsa, South Africa
Hamiden Abd El-Wahed Khalifa: Department of Mathematics, College of Science and Arts, Qassim University, Al-Badaya, Saudi Arabia

DOI: https://doi.org/10.1109/ACCESS.2023.3346916
Journal volume & issue: Vol. 12
pp. 10366 – 10382

Abstract

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This paper presents novel operational laws for $p,q,r-$ spherical fuzzy sets ( $p,q,r-$ SFSs) by harnessing the Dombi t-norm (DTN) and t-conorm (DTCN). These laws serve as the foundation for a set of aggregation operators (AOs) designed to consolidate $p,q,r-$ spherical fuzzy ( $p,q,r-$ SF) information. Additionally, a multi-criteria decision-making (MCDM) method is outlined for addressing practical decision-making (DM) challenges. To demonstrate the application of the proposed approach, a numerical example is offered. Furthermore, we conducted a comparative study to validate the efficacy of the suggested approach. Finally, we discuss both the advantages and limitations of this innovative approach.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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