Consensus in Preference‐Based Conflict Situations

ABSTRACT This article follows a preference‐based conflict situations model that extends the rough set approach to agents' preferences on issues gathered via pair‐wise comparisons. The study focuses on defining and examining various types of consensus within this model, addressing strict and more relaxed disagreements. The consensus problem is then explored at the coalition level. The key properties and quantitative measures for evaluating consensus quality are discussed. Finally, the negotiation process is investigated. The first approach is based on the expanding range of preferences derived from different definitions of consensus, and the second is focusing on issues position adjustment in order‐based conflict situation. Using examples, including a medical case with multiple specialists, the paper demonstrates the practical utility of the methods. In general, this work improves the understanding of preference‐based conflicts and the possibility of consensus, contributing to more effective decision‐making processes.