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Consensus Reaching Process for Traditional Group Decision Making in View of the Optimal Adjustment Mechanism
IEEE Transactions on Cybernetics
|May 11, 2022
Summary
This study introduces programming models for group decision making to adjust opinions during consensus reaching processes. It ensures fairness and efficiency in modifications, even when some decision makers disagree.
Area of Science:
- Operations Research
- Decision Sciences
Background:
- Consensus reaching process (CRP) is crucial in group decision making (GDM).
- Adjusting individual opinions is necessary when consensus levels are insufficient.
Purpose of the Study:
- Develop programming models for minimum opinion modification from individual and global perspectives.
- Ensure fairness and efficiency in modifications using Nash bargaining game theory.
- Establish a hybrid penalty mechanism for non-compliant decision makers.
Main Methods:
- Building programming models for minimum opinion adjustments.
- Applying Nash bargaining game theory for fair and efficient modifications.
- Developing a hybrid penalty mechanism based on game theory.
- Determining optimal modification mechanisms considering individual and group consensus goals.
- Analyzing decision maker weights based on consensus contributions.
Main Results:
- A novel algorithm for opinion adjustment in GDM.
- Demonstrated application through a numerical example.
- Sensitivity and comparison analyses conducted.
- Identified fairness, efficiency, and hybrid penalty mechanism as key contributions.
Conclusions:
- The proposed method offers a fair and efficient approach to opinion adjustment in CRP.
- The hybrid penalty mechanism effectively addresses non-compliance.
- The study provides a robust framework for enhancing group decision making processes.
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