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Research Article | Open Access

A novel decision making technique based on spherical hesitant fuzzy Yager aggregation information: application to treat Parkinson's disease

Muhammad Naeem1Aziz Khan2Shahzaib Ashraf3( )Saleem Abdullah2Muhammad Ayaz2Nejib Ghanmi4
Deanship of Combined First Year, Umm Al-Qura University, Makkah, Saudi Arabia
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, Pakistan
University College of Jammum, Umm Al-Qura University, Makkah, Saudi Arabia
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Abstract

The concept of spherical hesitant fuzzy set is a mathematical tool that have the ability to easily handle imprecise and uncertain information. The method of aggregation plays a great role in decision-making problems, particularly when there are more conflicting criteria. The purpose of this article is to present novel operational laws based on the Yager t-norm and t-conorm under spherical hesitant fuzzy information. Furthermore, based on the Yager operational laws, we develop the list of Yager weighted averaging and Yager weighted geometric aggregation operators. The basic fundamental properties of the proposed operators are given in detail. We design an algorithm to address the uncertainty and ambiguity information in multi-criteria group decision making (MCGDM) problems. Finally, a numerical example related to Parkinson disease is presented for the proposed model. To show the supremacy of the proposed algorithms, a comparative analysis of the proposed techniques with some existing approaches and with validity test is presented.

CLC number: 03B52, 03E72

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AIMS Mathematics
Pages 1678-1706

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Cite this article:
Naeem M, Khan A, Ashraf S, et al. A novel decision making technique based on spherical hesitant fuzzy Yager aggregation information: application to treat Parkinson's disease. AIMS Mathematics, 2022, 7(2): 1678-1706. https://doi.org/10.3934/math.2022097

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Received: 09 August 2021
Accepted: 25 October 2021
Published: 15 February 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)