Three-way conflict analysis with similarity degree on an issue set

The present paper introduces a new model of three-way conflict analysis with similarity degree on an issue set. Specifically, we introduce an evaluation of similarity degree, from a relative quantitative point of view, to evaluate the attitude similarity between any two agents. Based on similarity degree, we define a trisection of all pairs of agents on an issue set, and propose a three-level conflict model induced by such a trisection. More importantly, we solve the threshold-selection problem for three-level conflict analysis on multiple issues. We prove that the trisection model (resp. the three-level conflict model) defined in this paper is a conservative extension of the corresponding trisection model (resp. three-level conflict model) defined in Yao 2019 on multiple issues. Therefore, the present paper extends and improves the results of Yao 2019 on multiple issues.