A Decision-Theoretic Formulation of Three-Way Conflict Analysis
摘要
Classifying a pair of agents, based on their ratings on an issue, into one of alliance, conflict, or neutral relations is a basic issue in Pawlak conflict analysis. In this paper, we first review three models that are based on an auxiliary function, a distance function, and a pair of alliance and conflict measures, respectively. We show that the differences among the three models lie in their use of different partial orderings of the nine pairs of ratings given by two agents. Based on such an observation, in this paper, we give a decision-theoretic analysis by introducing a loss function. The loss function specifies the costs of assigning a pair of ratings to alliance, conflict, and neutrality. For any pair of ratings, we take an action with the minimum cost. The decision-theoretic analysis enables us to unify existing models. In other words, by using different loss functions, we can derive the existing models.