
Mathematics, Год журнала: 2025, Номер 13(8), С. 1282 - 1282
Опубликована: Апрель 14, 2025
In this paper, we explore the application of fuzzy set theory in context triangular norms, with a focus on strong Sheffer stroke NMV-algebras. We introduce concepts T-fuzzy subalgebras and filters, analyze their properties, provide several illustrative examples. Our study demonstrates that filters generalize classical level subsets preserving algebraic structures under t-norms. Notably, sets exhibit closure homomorphisms between SSNMV-algebras extend naturally to settings. Furthermore, examine relationships (or filters) counterparts, as well corresponding homomorphisms. These results contribute refined uncertainty modeling logical systems, potential applications control AI.
Язык: Английский