Neutrosophic N−Ideals on Sheffer Stroke BCK-Algebras
Makaleler > Tam Makale · 2023
Yazarlar: Tahsin ÖNER, Tugce Katican, Akbar Rezaei
Journal of the Indonesian Mathematical Society, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2023, cilt 29, ss 45-63
DOI: 10.22342/jims.29.1.1165.45-63
Özet
In 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.