A VIKOR-Based Linguistic Multi-Attribute Group Decision-Making Model in a Quantum Decision Scenario

Jingmei Xiao, Mei Cai and Yu Gao
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Jingmei Xiao: Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
Mei Cai: Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
Yu Gao: Research Center of Risk Management and Emergency Decision Making, School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China

Mathematics, 2022, vol. 10, issue 13, 1-23

Abstract: Quantum decision theory has been successfully applied to multi-attribute group decision-making (MAGDM) to model decision-makers’ interference and superposition effects in recent years. Existing quantum models assume that interference effects among decision-makers are symmetric. However, asymmetric interference effects have been ignored. We propose a VIKOR-based linguistic distribution assessments (LDAs) model considering asymmetric interference effects in a quantum decision scenario. Firstly, we combine VIKOR with LDAs to obtain a compromise solution in a fuzzy multi-attribute decision scenario with conflicting attributes. Secondly, an aggregation framework based on quantum probability theory is constructed to explore group preferences considering asymmetric interference effects among decision-makers. Finally, the model is compared with other methods to confirm its validity and stability.

Keywords: asymmetric interference effects; linguistic distribution assessments (LDAs); quantum decision theory (QPT); LADs-VIKOR (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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