Prioritized Aggregation Operators of GTHFNs MADM Approach for the Evaluation of Renewable Energy Sources

Uluçay, Vakkas; Deli, Irfan; Edalatpanah, Seyyed Ahmad

doi:10.15388/24-INFOR570

Informatica

Prioritized Aggregation Operators of GTHFNs MADM Approach for the Evaluation of Renewable Energy Sources

Vakkas Uluçay Irfan Deli Seyyed Ahmad Edalatpanah

https://doi.org/10.15388/24-INFOR570

Pub. online: 1 October 2024 Type: Research Article

Open Access

Received
1 January 2024

Accepted
1 September 2024

Published
1 October 2024

Abstract

In this paper, firstly, we propose two new GTHFNs-prioritized aggregation operators called generalized trapezoidal hesitant fuzzy number prioritized weighted average operator and generalized trapezoidal hesitant fuzzy number prioritized weighted geometric operator. Secondly, we investigate the fundamental properties of the operators in detail such as idempotency, boundedness and monotonicity. Thirdly, we propose a method based on the developed GTHF-numbers prioritized aggregation operators for solving an MADM problem with GTHF-numbers. Fourthly, we give a numerical example of the developed method. Finally, a comparative analysis is given with some existing methods in solving an MADM problem with GTHF-numbers.

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Biographies

Uluçay Vakkas

vakkas.ulucay@kilis.edu.tr

V. Uluc̣ay is an associate professor at the Department of Mathematic at Kilis 7 ARALIK University, Turkey. Received a MS degree of the Gaziantep University in 2008-2010 and PhD degree of the Gaziantep University in 2013-2017. His research intersts include extensions of fuzzy sets, extensions of soft sets, extensions of neutrosophic sets and decision-making.

Deli Irfan

irfandeli@kilis.edu.tr

İ. Deli was born in 1986 Denizli, Turkey. He received his PhD degree from Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpaṣa University, Tokat, Turkey in 2013. Currently, he is working as a professor at the University of 7 ARALIK, Kilis, Turkey. His main interest areas include soft sets, fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, game theory, decision-making, optimization, and so on.

Edalatpanah Seyyed Ahmad

saedalatpanah@gmail.com

S.A. Edalatpanah is an associate professor at the University of Ayandegan, Tonekabon, Iran. He received his PhD in applied mathematics from the University of Guilan, Rasht, Iran. Since 2021, Dr. Edalatpanah has served as a Vice President of Research and Development Department at the University of Ayandegan. He is also an academic member of Guilan University and the Islamic Azad University of Iran. Additionally, he is an Honourary Adjunct at various institutions worldwide, including Maryam Abacha American University in Nigeria (https://maaun.edu.ng/international-faculty/).

Dr. Edalatpanah’s research focuses on soft computing, operational research, uncertainty theories, fuzzy sets and their extensions, numerical computations, numerical linear algebra, and optimization. He has authored over 250 publications in respected journals and conferences. He serves as an editor and lead guest editor for numerous prominent journals, including Economics, Management Decision, Soft Computing, Buildings, Computer Modeling in Engineering and Sciences, Mathematics, Intelligent Automation and Soft Computing, PeerJ Computer Science, Neutrosophic Sets and Systems, Decision Making Applications in Management and Engineering, and Advances in Mechanical Engineering.

Dr. Edalatpanah’s contributions have gained international recognition, and he has been listed among the Top 2 percent of scientists in the world by Stanford University since 2021.

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Keywords

hesitant fuzzy set generalized trapezoidal hesitant fuzzy numbers prioritized aggregation operator multiple attribute decision making renewable energy sources

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