Lattice-Valued Fuzzy Substructures in Sheffer Stroke UP-Algebras

This paper introduces the notions of L -fuzzy SUP-subalgebras and L -fuzzy SUP-ideals within the framework of Sheffer stroke UP-algebras, alongside the corresponding level subsets of such fuzzy structures.We establish a bidirectional correspondence between these L -fuzzy substructures and their level sets: namely, the upper level set of an L -fuzzy SUP-subalgebra (respectively, SUP-ideal) is an SUP-subalgebra (respectively, SUP-ideal), and conversely, every SUP-subalgebra (ideal) determines an L -fuzzy SUP-subalgebra (ideal) via its characteristic function.These findings deepen the understanding of lattice-valued fuzzy logic in Sheffer stroke UP-algebras and extend the classical correspondence between fuzzy structures and their crisp counterparts in an algebraic context.