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Dynamic Reference Point-Oriented Consensus Mechanism in Linguistic Distribution Group Decision Making Restricted by
Xiao Tan1, Jianjun Zhu1, Tong Wu1
1College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu China.
Group Decision and Negotiation
|March 1, 2022
Summary
This study introduces a novel consensus mechanism integrating prospect theory and quantum probability theory (QPT) to model irrational decision-making in groups. It enhances group decision-making by dynamically adjusting reference points for improved consensus efficiency.
Area of Science:
- Decision Sciences
- Behavioral Economics
- Quantum Information Theory
Background:
- Group decision-making often involves irrationality and uncertainty.
- Existing models struggle to capture complex decision-maker behaviors.
- Information integration significantly impacts consensus efficiency.
Purpose of the Study:
- To develop a consensus improvement mechanism for linguistic distribution group decision-making.
- To incorporate prospect theory and quantum probability theory (QPT) to model decision-maker irrationality.
- To enhance information accuracy and consensus efficiency through dynamic reference points.
Main Methods:
- Integrated objective and subjective information for comprehensive reference data.
- Applied QPT to address interference effects in information integration.
- Developed a multi-objective programming model for optimizing the interference term based on maximum individual utility.
- Constructed a dynamic reference point-oriented consensus model for preference adjustment.
Main Results:
- The proposed mechanism effectively models irrational and uncertain behaviors of decision-makers (DMs).
- QPT integration and dynamic reference points improved consensus efficiency.
- A case study on emergency hospital selection demonstrated the model's feasibility and advantages.
- The model provides insights into cognitive processes in group decision-making.
Conclusions:
- The consensus improvement mechanism offers a robust framework for complex group decisions.
- Integrating prospect theory and QPT enhances the modeling of human decision-making.
- Dynamic reference points are crucial for optimizing consensus in evolving preference landscapes.
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