An intuitionistic fuzzy approach to S-approximation spaces

In this paper, we will investigate the concept of intuitionistic fuzzy S-approximation spaces. This concept can be employed to manage the uncertainty in the intuitionistic fuzzy problems which are not expressible in terms of intuitionistic fuzzy inclusion relations. Also, we have studied these structures from a three-way decisions approach. The monotone intuitionistic fuzzy S-approximation spaces capture some interesting properties which are discussed as well as complement compatible ones.