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q-Rung Orthopair Fuzzy Improved Power Weighted Operators For Solving Group Decision-Making Issues
Volume 33, Issue 3 (2022), pp. 593–621
Pub. online: 22 September 2022      Type: Research Article      Open accessOpen Access
Received
1 March 2022
Accepted
1 September 2022
Published
22 September 2022

Abstract

This paper proposes a new multi-criteria group decision-making (MCGDM) method utilizing q-rung orthopair fuzzy (qROF) sets, improved power weighted operators and improved power weighted Maclaurin symmetric mean (MSM) operators. The power weighted averaging operator and power weighted Maclaurin symmetric mean (MSM) operator used in the existing MCGDM methods have the drawback of being unable to distinguish the priority order of alternatives in some scenarios, especially when one of the qROF numbers being considered has a non-belongingness grade of 0 or a belongingness grade of 1. To address this limitation of existing MCGDM methods, four operators, namely qROF improved power weighted averaging (qROFIPWA), qROF improved power weighted geometric (qROFIPWG), qROF improved power weighted averaging MSM (qROFIPWAMSM) and qROF improved power weighted geometric MSM (qROFIPWGMSM), are proposed in this paper. These operators mitigate the effects of erroneous assessment of information from some biased decision-makers, making the decision-making process more reliable. Following that, a group decision-making methodology is developed that is capable of generating a reasonable ranking order of alternatives when one of the qROF numbers considered has a non-belongingness grade of 0 or a belongingness grade of 1. To investigate the applicability of the proposed approach, a case study is also presented and a comparison-based investigation is used to demonstrate the superiority of the approach.

Supplementary material

 Supplementary Material
Proof of Theorem 6, which we provided you in the main manuscript..

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Biographies

Saha Abhijit
abhijit84.math@gmail.com

A. Saha is currently working as an associate professor in the Department of Mathematics of K L Deemed to be University, Vijaywara, Andhra Pradesh, India. He has more than 10 years of teaching experience. Dr. Saha has published 40 research articles in various journals of international repute. His areas of research interest are: fuzzy set theory, soft set theory, optimization and decision-making. He is serving as an editorial board member of various Scopus indexed journals including International Journal of Neutrosophic Sciences and Decision Making: Applications in Engineering and Management.

Ecer Fatih
fecer@aku.edu.tr

F. Ecer is currently a full professor of operational research, Turkey. He received a PhD in 2007. He published approximately 100 papers, including more than 30 papers in leading scientific journals. His research interests lie in the areas of operation research, energy, mathematics, sustainability, decision sciences, data mining, neural networks, finance, computer science, and environmental engineering. He has an h-index of 14 (Scopus), 12 (Web of Science), and 24 (Google Scholar).

Chatterjee Prasenjit
p.chatterjee@mckvie.edu.in

P. Chatterjee is currently a full professor of mechanical engineering and dean (research and consultancy) at MCKV Institute of Engineering, West Bengal, India. He has over 120 research papers in various international journals and peer reviewed conferences. He has authored and edited more than 22 books on intelligent decision-making, supply chain management, optimization techniques, risk and sustainability modelling. He has received numerous awards including Best Track Paper Award, Outstanding Reviewer Award, Best Paper Award, Outstanding Researcher Award and University Gold Medal. Dr. Chatterjee is the editor-in-chief of Journal of Decision Analytics and Intelligent Computing. He has also been the guest editor of several special issues in different SCIE / Scopus / ESCI (Clarivate Analytics) indexed journals. He is the lead series editor of Disruptive Technologies and Digital Transformations for Society 5.0, Springer. He is also the lead series editor of Smart and Intelligent Computing in Engineering, Chapman and Hall/CRC Press, founder and lead series editor of Concise Introductions to AI and Data Science, Scrivener – Wiley; AAP Research Notes on Optimization and Decision Making Theories; Frontiers of Mechanical and Industrial Engineering, Apple Academic Press, co-published with CRC Press, Taylor and Francis Group and River Publishers Series in Industrial Manufacturing and Systems Engineering. Dr. Chatterjee is one of the developers of two multiple-criteria decision-making methods called Measurement of Alternatives and Ranking according to COmpromise Solution (MARCOS) and Ranking of Alternatives through Functional mapping of criterion sub-intervals into a Single Interval (RAFSI).

Senapati Tapan
math.tapan@gmail.com

T. Senapati received the B. Sc., M. Sc. and Ph.D. degrees in Mathematics all from the Vidyasagar University, India in 2006, 2008, and 2013 respectively. Presently he works as an Assistant Teacher of Mathematics under Government of West Bengal, India. He has also worked as a Postdoctoral fellow at Southwest University, School of Mathematics and Statistics, 400715 Chongqing, China. He has published three books and more than 80 articles in reputed international journals. His research results have been published in Fuzzy Sets and Systems, IEEE Transactions on Fuzzy Systems, Expert Systems with Applications, Applied Soft Computing, Engineering Applications of Artificial Intelligence, International Journal of Intelligent Systems, and International Journal of General Systems, among others. He is a reviewer of several international journals and is also an academic editor of Computational Intelligence and Neuroscience (SCIE, Q1), Discrete Dynamics in Nature and Society (SCIE), Mathematical Problems in Engineering (SCIE). His main scientific interests concentrate on fuzzy sets, fuzzy optimization, soft computing, multi-attribute decision making, aggregation operators.

Zavadskas Edmundas Kazimieras
edmundas.zavadskas@vgtu.lt

E.K. Zavadskas, PhD, DSc, Dr. habil, Dr. H. C. multi, prof. chief researcher of Institute of Sustainable Construction, Faculty of Civil Engineering, Vilnius Gediminas Technical University, Lithuania. Obtained his PhD title in building structures (1973), Dr. Sc. title (1987) in building technology and management and Dr. Habil title (1993). Founder of Vilnius Gediminas Technical University (1990). A member of the Lithuanian Academy of Science; a member of several foreign Academies of Sciences; Honorary doctor from Poznan, Saint-Petersburg, and Kyiv universities. A member of international organizations; a member of steering and program committees at many international conferences; chairman of EURO Working Group ORSDCE; associate editor, guest editor, or editorial board member for 40 international journals (Computer-Aided Civil and Infrastructure Engineering, Automation in Construction, Informatica, International Journal of Information Technology and Decision Making, Archives of Civil and Mechanical Engineering, International Journal of Fuzzy Systems, Symmetry, Sustainability, Applied Intelligence, Energy, Entropy and others); the author and co-author of more than 600 papers and a number of monographs in Lithuanian, English, German and Russian. Founding editor of journals Technological and Economic Development of Economy, Journal of Civil Engineering and Management, International Journal of Strategic Property Management. He has been a highly cited researcher in 2014, 2018, 2019, 2020. Research interests: multi-criteria decision making, civil engineering, sustainable development, fuzzy multi-criteria decision making.


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Keywords
q-rung orthopair fuzzy sets improved power weighted operators improved power weighted Maclaurin symmetric mean (MSM) operators group decision-making

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