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Research Article | Open Access

Pythagorean hesitant fuzzy rough multi-attribute decision-making method with application to wearable health technology devices

Attaullah1( )Sultan Alyobi2Mohammed Alharthi3Yasser Alrashedi4
Department of Mathematics, University of Chitral, Chitral, 17200, KP, Pakistan
King Abdulaziz University, College of Science & Arts, Department of Mathematics, Rabigh, Saudi Arabia
Department of Mathematics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia
Department of Mathematics, College of Sciences, Taibah University, P.O. Box 344, Madinah 42353, Saudi Arabia
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Abstract

Identifying the most optimal wearable health technology devices for hospitals is a crucial step in emergency decision-making. The multi-attribute group decision-making method is a widely used and practical approach for selecting wearable health technology devices. However, because of the various factors that must be considered when selecting devices in emergencies, decision-makers often struggle to create a comprehensive assessment method. This study introduced a novel decision-making method that took into account various factors of decision-makers and has the potential to be applied in various other areas of research. First, we introduced a list of aggregation operators based on Pythagorean hesitant fuzzy rough sets, and a detailed description of the desired characteristics of the operators under investigation were provided. The proposed operators were validated by a newly defined score and accuracy function. Second, this paper used the proposed approach to demonstrate the Pythagorean hesitant fuzzy rough technique for order of preference by similarity to ideal solution (TOPSIS) model for multiple attribute decision-making and its stepwise algorithm. We developed a numerical example based on suggested operators for the evaluation framework to tackle the multiple-attribute decision-making problems while evaluating the performance of wearable health technology devices. In the end, the sensitivity analysis has confirmed the performance and reliability of the proposed framework. The findings indicated that the models being examined demonstrated greater reliability and efficacy compared to existing methodologies.

CLC number: 03B52, 03E72

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AIMS Mathematics
Pages 27167-27204

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Cite this article:
Attaullah, Alyobi S, Alharthi M, et al. Pythagorean hesitant fuzzy rough multi-attribute decision-making method with application to wearable health technology devices. AIMS Mathematics, 2024, 9(10): 27167-27204. https://doi.org/10.3934/math.20241321

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Received: 11 July 2024
Revised: 04 September 2024
Accepted: 05 September 2024
Published: 15 October 2024
©2024 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)