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Research Article | Open Access

Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem

Muhammad Naeem1Muhammad Qiyas2Lazim Abdullah3( )Neelam Khan4Salman Khan5
Department of Mathematics Deanship of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia
Department of Mathematics, Riphah International University, Faisalabad Campus, Pakistan
Programme of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, 21030 Kuala Nerus Terengganu, Malaysia
Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan
Department of Computer Science, Abdul Wali khan University Mardan, KP, Pakistan
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Abstract

Aggregation operators are the most effective mathematical tools for aggregating many variables into a single result. The aggregation operators operate to bring together all of the different assessment values offered in a common manner, and they are highly helpful for assessing the options offered in the decision-making process. The spherical fuzzy sets (SFSs) and rough sets are common mathematical tools that are capable of handling incomplete and ambiguous information. We also establish the concepts of spherical fuzzy rough Hamacher averaging and spherical fuzzy rough Hamacher geometric operators. The key characteristics of the suggested operators are thoroughly described. We create an algorithm for a multi-criteria group decision making (MCGDM) problem to cope with the ambiguity and uncertainty. A numerical example of the developed models is shown in the final section. The results show that the specified models are more efficient and advantageous than the other existing approaches when the offered models are contrasted with specific present methods.

CLC number: 03E72, 47S40

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AIMS Mathematics
Pages 17112-17141

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Cite this article:
Naeem M, Qiyas M, Abdullah L, et al. Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem. AIMS Mathematics, 2023, 8(7): 17112-17141. https://doi.org/10.3934/math.2023874

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Received: 01 January 2023
Revised: 05 March 2023
Accepted: 04 April 2023
Published: 15 July 2023
©2023 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)