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Research Article | Open Access

An MADM-based fuzzy parameterized framework for solar panels evaluation in a fuzzy hypersoft expert set environment

Muhammad Ihsan1,Muhammad Saeed1Atiqe Ur Rahman1Hüseyin Kamacı2Nehad Ali Shah3,Wajaree Weera4( )
Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan
Department of Mathematics, Yozgat Bozok University, Yozgat 66900, Turkey
Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

These authors contributed equally to this work and are co-first authors

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Abstract

The selection of parameters plays a vital role in the multi-attribute decision-making process. In some situations, it is observed that the nature of parameters is ambiguous and a multi-decisive opinion is necessary for managing such parametric uncertainty. In the literature, there is no suitable model that can cope with such situations. This study was purposed to develop a novel context called the fuzzy parameterized fuzzy hypersoft expert set (FPFHSE-set), which is capable of managing the uncertain nature of parameters and the multi-decisive opinion of experts collectively in one model. In this way, the proposed model may be described as the generalization of the existing model fuzzy parameterized fuzzy soft expert set (FPFSE-set). Theoretic, axiomatic and algorithmic approaches have been employed for the characterization of the basic notions of the FPFHSE-set. In order to handle multi-attribute decision-making, two algorithms are proposed and then validated by applying them to some real-world scenarios in the FPFHSE-set environment. The merits and superiority of the new algorithms are presented by comparing them with some existing fuzzy decision-making models. According to the proposed FPFHSE-set-based decision-making approaches, the experts have more freedom in specifying their preferences and thoughts according to their expertise, and they can process new types of data. Therefore, this paper presents a state-of-the-art improvement that provides a holistic view to understand and handle the multi-attribute decision-making issues focused on the objective of classifying alternatives according to multiple attributes by multiple experts.

CLC number: 03B52, 03E72, 03E75

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AIMS Mathematics
Pages 3403-3427

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Cite this article:
Ihsan M, Saeed M, Rahman AU, et al. An MADM-based fuzzy parameterized framework for solar panels evaluation in a fuzzy hypersoft expert set environment. AIMS Mathematics, 2023, 8(2): 3403-3427. https://doi.org/10.3934/math.2023175

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Received: 26 August 2022
Revised: 25 September 2022
Accepted: 10 October 2022
Published: 15 February 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)