A Prospect Theory-Based Three-Way Consensus Model for Multicriteria and Multi-Agent Conflict Analysis

Abstract

The research on conflict analysis provides theoretical guidance and action guidelines for solving practical conflict problems. Some existing work focuses on inter-agent relationships but cannot provide resolution strategies. To this end, this paper starts from multicriteria and multi-agent (MC&MA) conflict analysis problems, and concentrates on two major components, namely the determination of feasible option set and the consensus reached between agents. Specifically, in the first of Phase I, a three-way decision model (3WD) based on prospect theory (PT) 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, which can provide a feasible option set with maximum prospect value for the MC&MA conflict analysis problem. In Phase II, a consensus decision model based on graph model is established from an optimization perspective, which not only revises target information with the consensus degree maximisation, but also ensures that all agents reach consensus. Finally, a labor-management negotiation case study is considered, and the advantages of the proposed model are discussed. Experimental analyses of classification results and the number of iterations with different parameters are carried out using control variables.

Keywords: Interval-valued distance, Interval-valued overlap functions, three-way decision, Conflict analysis, Prospect theory