sb-neutrosophic structures in bck/bci-algebras

This article presents the novel set termed sb - neutro-sophic set (sb-nss), which extends the concept of the neutrosophic set (nss). we illustrate its fundamental operations with examples.this concept of sb-nsss is appliedto bck/bci-algebras, and we introduce the notion of sb-neutrosophic subalgebra (sb-nssa), sb-neutrosophic ideal(sb-nsi), and related properties are investi-gated. furthermore, we provide conditions for an sb-nss to be ansb-nssa, for an sb-nss to be an sb-nsi, and for an sb-nssa to be an sb-nsi. in a bci-algebra, conditions for ansb-nsi to be an sb-nssa are given.