On Spherical Fuzzy Sublattices and Ideals of Lattices
A Nasreen, Latha S Nair · New Mathematics and Natural Computation · 2025
This study introduces and investigates the concepts of spherical fuzzy sublattices (SFSLs) and spherical fuzzy ideals (SFIs) within the framework of lattice theory. By extending classical sublattices and ideals to the spherical fuzzy setting — where uncertainty is represented by a triplet [Formula: see text] satisfying [Formula: see text]. In this study, we developed a structured approach to model algebraic systems with bounded indeterminacy. Formal definitions are proposed for SFSLs and their ideals. Theoretical properties, including intersection behavior, homomorphic images, and the relationships between fuzzy ideals and sublattices, are analyzed. This study not only enriches the algebraic theory of spherical fuzzy sets but also opens new directions for uncertainty modeling in knowledge representation, soft computing, and logic-based systems.