On semantic issues in game-theoretic rough sets

The game-theoretic rough set (GTRS) model provides a configuration mechanism for determination of thresholds in probabilistic rough sets. The GTRS utilizes different approaches in implementing games for analyzing various applications and problems. The probabilistic thresholds and the key game components such as players and strategies may be interpreted differently based on a particular formulation and the considered application. This paper examines and considers two semantic issues in GTRS, i.e. the interpretation of key game-theoretic constructs and probabilistic thresholds. We address these issues by presenting some semantic descriptions that not only help in understanding the structural components of the model but also clarify the mechanism of transforming an initial pair of thresholds to a finally computed threshold values. An example is provided based on the proposed descriptions in explaining existing formulations.