Structural Properties of SR-Fuzzy 𝔭(𝔮 and 𝔞)-Ideals in BCI-algebras

This paper introduces the concept of SR-[Formula: see text][Formula: see text] and [Formula: see text]-ideals in [Formula: see text]-algebras. These algebras generalize Boolean algebras and have applications in computer science, artificial intelligence, and control theory. The proposed SR-[Formula: see text][Formula: see text] and [Formula: see text]-ideals incorporate a square root operation, which provides greater flexibility and improved representation of uncertainty. This study examines their fundamental properties and explores the relationships among them within [Formula: see text]-algebras. Several examples are included to illustrate the theoretical results. The paper concludes with possible directions for future research, contributing to the development of fuzzy set theory in algebraic structures.