Oner T.Katıcan TuğçeBorumand Saeid A.2023-06-162023-06-1620230369-82032250-1762https://doi.org/10.1007/s40010-022-00794-9https://hdl.handle.net/20.500.14365/3429In this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T-fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T-fuzzy ideal) is a T-fuzzy subalgebra but the converse does not generally hold. As in T-fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T-fuzzy ideals are proved. © 2022, The Author(s), under exclusive licence to The National Academy of Sciences, India.eninfo:eu-repo/semantics/closedAccess(T-)fuzzy subalgebraSheffer stroke Hilbert algebraT-conormT-fuzzy idealArticle10.1007/s40010-022-00794-92-s2.0-85135223871