Three-way conflict analysis based on multi-scale situation tables

In the existing three-way conflict analysis models, ratings have only one scale. However, when evaluating an issue in real life, agents can also use multi-scale ratings, which can provide a more comprehensive description and better analysis. Therefore, it is necessary to study three-way conflict analysis based on a multi-scale situation table. In this paper, we consider the construction of three-way conflict analysis models on multi-scale situation tables (MS-STs). Firstly, we introduce the concept of MS-STs, in which the attitudes of agents towards issues are represented by multi-scale ratings. Secondly, we construct two types of three-way conflict analysis models on MS-STs using two different methods. One approach is to directly construct a three-way conflict analysis model on original MS-STs, called Type-1 three-way conflict analysis model. In this approach, we measure the conflict distances between agents on a subset of issues by using the proposed weighted distance function. We then trisect all pairs of agents. The other method involves converting an original MS-ST into a single-scale situation table through optimal scale selection. This results in a single-scale situation table induced by the optimal scale combination. Based on this, we construct a corresponding Type-2 three-way conflict analysis model. We provide several examples to illustrate the construction process of these two models. Additionally, we provide the calculation methods for weights and thresholds. Finally, we compare the proposed models in this paper with existing models to verify their applicability and effectiveness.