MBJ-Neutrosophic Structure Applied to BP-algebras: BP-subalgebras and α-ideals
B. Satyanarayana, Shake Baji, Anjaneyulu Naik Kalavath · Neutrosophic Systems with Applications · 2025
In this article, we introduce the concepts of MBJ-neutrosophic BP-subalgebras and MBJ-neutrosophic α-ideals in BP-algebra by applying MBJ-neutrosophic logic to algebraic structure BP-algebra. We prove that the intersection of two MBJ-neutrosophic α-ideals and the inverse image of an MBJ-neutrosophic α-ideal are also MBJ-neutrosophic -ideals. Furthermore, we prove an MBJ-neutrosophic set is an MBJ-neutrosophic BP-subalgebra if and only if its level sets are BP-subalgebras.