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Research Article | Open Access

Decision support system based on complex T-Spherical fuzzy power aggregation operators

Muhammad Qiyas1Muhammad Naeem2( )Saleem Abdullah1Neelam Khan1
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, KP, Pakistan
Deanship of Combined First Year Umm Al-Qura University, Makkah, P.O. Box 715, Saudi Arabia
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Abstract

The goal of this research is to develop many aggregation operators for aggregating various complex T-Spherical fuzzy sets (CT-SFSs). Existing fuzzy set theory and its extensions, which are a subset of real numbers, handle the uncertainties in the data, but they may lose some useful information and so affect the decision results. Complex Spherical fuzzy sets handle two-dimensional information in a single set by covering uncertainty with degrees whose ranges are extended from the real subset to the complex subset with unit disk. Thus, motivated by this concept, we developed certain CT-SFS operation laws and then proposed a series of novel averaging and geometric power aggregation operators. The properties of some of these operators are investigated. A multi-criteria group decision-making approach is also developed using these operators. The method's utility is demonstrated with an example of how to choose the best choices, which is then tested by comparing the results to those of other approaches.

CLC number: 03E72, 47S40

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AIMS Mathematics
Pages 16171-16207

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Cite this article:
Qiyas M, Naeem M, Abdullah S, et al. Decision support system based on complex T-Spherical fuzzy power aggregation operators. AIMS Mathematics, 2022, 7(9): 16171-16207. https://doi.org/10.3934/math.2022884

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Received: 21 February 2022
Revised: 09 June 2022
Accepted: 22 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)