Formulating three-way decision making with game-theoretic rough sets

Three-way decisions are important for effective decision making in many real life problems found in medical, business, management and scientific research. The game-theoretic rough set (GTRS) model is a recent proposal in rough sets for effective decision making when multiple criteria are involved. This article illustrates the formulation and interpretation of three-way decisions with the GTRS model. In particular, a two-player game is implemented between different criteria realized as players in a game in order to obtain three-way decisions. The presented interpretations may relate the GTRS model to existing studies on three-way decision-making, leading to more exciting applications.