EAAI Journal 2025 Journal Article
A prospect theory-based three-way consensus model for multicriteria and multi-agent conflict analysis
- Jiajia Wang
- Xiaonan Li
The existing research on multicriteria and multi-agent (MC&MA) conflict analysis has gained increasing attention. However, it mainly focuses on inter-agent relationships and lacks resolution strategies. To this end, this paper proposes a three-way consensus model based on prospect theory (PT), aiming to provide feasible strategies for the MC&MA conflict analysis problem. Specifically, in Phase I, a PT-based three-way decision model (3WD) is introduced, which calculates the prospect value of each option by generalized interval-valued fuzzy rough sets (GIVFRSs). Secondly, a two-stage classification method is proposed to filter out a feasible option set with maximum prospect value. In Phase II, a consensus decision model based on a graph model is established from an optimization perspective, which revises target information by maximizing consensus degree and ensures that all agents reach consensus. Finally, a labor-management negotiation case study is used to demonstrate the practicality of the proposed model. Experimental analyzes with control variables show that the effects of parameter changes on the model are consistent with theoretical analysis, and the model is able to reach consensus in fewer iterations. Therefore, this study provides a theoretical foundation and practical guidelines for resolving the MC&MA conflict analysis problem, which has significant theoretical value and practical implications.