Rough and T-Rough Sets Arising from Intuitionistic Fuzzy Ideals in BCK-Algebras

This paper presents the novel concept of rough intuitionistic fuzzy ideals within the realm of BCK-algebras and investigates their fundamental properties. Furthermore, we introduce a set-valued homomorphism over a BCK-algebra, laying the foundation for the establishment of T-rough intuitionistic fuzzy ideals. The characterization of these innovative ideals is accomplished by employing the (α,β)-cut of intuitionistic fuzzy sets in the context of BCK-algebras.