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.
Muhiuddin et al. (Fri,) studied this question.
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