Oner T.Katıcan TuğçeRezaei A.Katican, TugceRezaei, AkbarOner, Tahsin2023-06-162023-06-162023-03-302331-60552086-8952https://hdl.handle.net/20.500.14365/3915https://doi.org/10.22342/jims.29.1.1165.45-63The aim of the study is to introduce a neutrosophic N?subalgebra and neutrosophic N?ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N?subalgebra (neutrosophic N?ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N?subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N?ideal of a Sheffer stroke BCH-algebra is its neutrosophic N?subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N?ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N?functions on this algebraic structure and some properties are investigated. © 2022eninfo:eu-repo/semantics/closedAccessneutrosophic N? subalgebraneutrosophic N?idealSheffer stroke BCH-algebrasubalgebraAlgebraic structuresLevel SetModularsNeutrosophic N? subalgebraNeutrosophic N?idealSheffe stroke BCH-algebraSheffer strokeSubalgebrasSurjectiveAlgebraNeutrosophic N− SubalgebraNeutrosophic N−idealIdealNeutrosophic N-IdealNeutrosophic N- SubalgebraSheffer Stroke BCK-AlgebraArticle10.22342/jims.29.1.1165.45-632-s2.0-851352538502-s2.0-85164366803