Formulating Game Strategies in Game-Theoretic Rough Sets

The determination of thresholds (alpha, beta) has been considered as a fundamental issue in probabilistic rough sets. The game-theoretic rough set (GTRS) model determines the required thresholds based on a formulated game between different properties related to rough sets approximations and classification. The game strategies in the GTRS model are generally based on an initial threshold configuration that corresponds to the Pawlak model. We study different approaches for formulating strategies by considering different initial conditions. An example game is shown for each case. The selection of a particular approach for a given problem may be based on the quality of data and computing resources at hand. The realization of these approaches in GTRS based methods may bring new insights into effective determination of probabilistic thresholds.