In this paper, we propose a mechanism for cancer cell differentiation therapy based on a game-theoretic rough set model with intuitionistic fuzzy set. We introduce an intuitionistic fuzzy relation with the help of fuzzy compatibility relation. The approximation space classification is controlled with a pair of intuitionistic fuzzy thresholds. It provides a flexibility to set up tolerance level depending on different requirements. The threshold parameters act as players and pay-offs are determined based on the shifting of equivalent classes from boundary region to positive or negative region.