Structural Properties of SR‐Fuzzy Implicative Ideals in BCK‐Algebras

This paper introduces the view of SR‐ ideals in ‐algebras, an algebraic structure that extends Boolean algebras and has applications in areas like computer science, artificial intelligence, and control theory. SR‐ sets are fuzzy sets endowed with a square root operation that increases the flexibility and accuracy of the modeling of uncertainty. The study investigates the structural properties of SR‐ ideal and establishes several characterization theorems describing their relationships with SR‐fuzzy ideals and classical implicative ideals. This paper also provides examples to illustrate the concepts introduced and suggests areas for future research. This study adds to the expanding body of research on fuzzy sets and their applications within algebraic systems.