Öner, T.Katican T.Rezaei, A.2023-09-112023-09-1120232086-89522460-0245https://doi.org/10.22342/jims.29.1.1165.45-63https://hdl.handle.net/20.500.14365/4824In this study, a neutrosophic N−subalgebra and neutrosophic N−ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this algebra and vice versa. Then we present that the family of all neutrosophic N−subalgebras of a Sheffer stroke BCK-algebra forms a complete distributive modular lattice and that every neutrosophic N−ideal of a Sheffer stroke BCK-algebra is the neutrosophic N−subalgebra but the inverse does not usually hold. Also, relationships between neutrosophic N−ideals of Sheffer stroke BCK-algebras and homomorphisms are analyzed. Finally, we determine special subsets of a Sheffer stroke BCK-algebra by means of N−functions on this algebraic structure and examine the cases in which these subsets are its ideals. © 2023 The Author(s).eninfo:eu-repo/semantics/openAccessidealneutrosophic N− subalgebraneutrosophic N−idealSheffer stroke BCK-algebrasubalgebraArticle10.22342/jims.29.1.1165.45-632-s2.0-85164366803