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Linguistic Single-Valued Neutrosophic Multi-Criteria Group Decision Making Based on Personalized Individual Semantics and Consensus
Volume 34, Issue 2 (2023), pp. 387–413
Pub. online: 26 May 2023      Type: Research Article      Open accessOpen Access
Received
1 December 2022
Accepted
1 May 2023
Published
26 May 2023

Abstract

In practical linguistic multi-criteria group decision-making (MCGDM) problems, words may indicate different meanings for various decision makers (DMs), and a high level of group consensus indicates that most of the group members are satisfied with the final solution. This study aims at developing a novel framework that considers the personalized individual semantics (PISs) and group consensus of DMs to tackle linguistic single-valued neutrosophic MCGDM problems. First, a novel discrimination measure for linguistic single-valued neutrosophic numbers (LSVNNs) is proposed, based on which a discrimination-based optimization model is built to assign personalized numerical scales (PNSs). Second, an extended consensus-based optimization model is constructed to identify the weights of DMs considering the group consensus. Then, the overall evaluations of all the alternatives are obtained based on the LSVNN aggregation operator to identify the ranking of alternatives. Finally, the results of the illustrative example, sensitivity and comparative analysis are presented to verify the feasibility and effectiveness of the proposed method.

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Biographies

Tian Zhang-Peng

Z.-P. Tian received the PhD degree in management science and engineering from the Central South University, Changsha, China, in 2019. He is currently an associate professor with the School of Economics and Management, China University of Mining and Technology. His current research interests include social network, decision-making theory and application, risk management and control, and information management.

Xu Fu-Xin

F.-X. Xu studied at Shandong University of Finance and Economics from 2018 to 2022 and obtained Bachelor of Management in 2022. At present, he is pursuing a master’s degree in management science and engineering at China University of Mining and Technology. His current research interests include conflict analysis and group decision.

Nie Ru-Xin
rx_nie@cumt.edu.cn

R.-X. Nie received the PhD degree in management science and engineering from the Central South University, Changsha, China, in 2022. She is currently a lecturer with the School of Economics and Management, China University of Mining and Technology. Her current research interests include customer preference analysis, decision-making theory and application, and quality and innovation management.

Wang Xiao-Kang

X.-K. Wang received the PhD degree in management science and engineering from the Central South University, Changsha, China, in 2022. He is currently a lecturer with the School of Management, Shenzhen University. His current research interests include decision-making theory and application, social commerce, and machine learning.

Wang Jian-Qiang

J.-Q. Wang received the PhD degree in management science and engineering from Central South University, Changsha, China, in 2005. He is currently a professor at the Business School, Central South University. His current research interests include decision-making theory and application, risk management and control, and information management.


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© 2023 Vilnius University
Open access article under the CC BY license.

Keywords
neutrosophic set linguistic single-valued neutrosophic set multi-criteria group decision making personalized individual semantics consensus reaching process

Funding
This work was supported by the National Natural Science Foundation of China (No. 72001204), the China Postdoctoral Science Foundation (No. 2020M681782), the Postgraduate Research & Practice Innovation Program of Jiangsu Province, and the Graduate Innovation Program of China University of Mining and Technology (No. 2023WLJCRCZL134).

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