Beal’s Fuzzy Ideal Structure over the View of Uncertainty Normed Lattice

Abstract

In this paper, we construct Beal’s fuzzy ideals in terms of (S,T) – normed sublattice. This research delves into the exploration of Beal’s fuzzy sublattices and Beal’s fuzzy ideals within the context of lattice theory. Through a rigorous analysis of structural theorem concerning these concepts derived from Beal’s fuzzy sets. we uncover significant parallels with classical theory. Additionally, we investigate the behavior of Beal’s fuzzy ideals under lattice homomorphism. Our findings shed light on the applicability and utility of Beal’s fuzzy theory in lattice-based structures offering insights into their properties and relationships.