NEUTROSOPHIC N-STRUCTURES ON SHEFFER STROKE BE-ALGEBRAS

In this study, a neutrosophic $mathcal{N}$subalgebra, a (implicative) neutrosophic $mathcal{N}$ filter, level sets of these neutrosophic $mathcal{N}$structures and their properties are introduced on a Sheffer stroke BEalgebras (briefly, SBEalgebras). It is proved that the level set of neutrosophic $mathcal{N}$ subalgebras ((implicative) neutrosophic $mathcal{N}$filter) of this algebra is the SBEsubalgebra ((implicative) SBEfilter) and vice versa. Then we present relationships between upper sets and neutrosophic $mathcal{N}$filters of this algebra. Also, it is given that every neutrosophic $mathcal{N}$filter of a SBEalgebra is its neutrosophic $mathcal{N}$subalgebra but the inverse is generally not true. We study on neutrosophic $mathcal{N}$filters of SBEalgebras by means of SBEhomomorphisms, and present relationships between mentioned structures on a SBEalgebra in detail. Finally, certain subsets of a SBEalgebra are determined by means of $mathcal{N}$functions and some properties are examined.