Rough Continuity Represented by Intuitionistic Fuzzy Sets

Studying rough calculus was initiated by Z. Pawlak in his many papers. He originated the concept of rough real functions. Like the notion of continuity in classical analysis, the rough continuity is also a central notion in rough calculus. Relying on the Pawlak's approximation spaces on the real closed bounded intervals, first, two intuitionistic fuzzy sets are established starting from rough functions. Then, based on them, some necessary and sufficient conditions for the rough continuity in terms of intuitionistic fuzzy set theory will be presented.