BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical
tool for dealing with indeterminate and inconsistent information. the notion of BMBJ-neutrosophic set and subalgebra,
as a generalization of a neutrosophic set, is introduced, and it’s application to BCI/BCK-algebras is investigated.
The concept of BMBJ-neutrosophic subalgebras in BCI/BCK-algebras is introduced, and related properties
are investigated. New BMBJ-neutrosophic subalgebra is established by using an BMBJ-neutrosophic subalgebra of
a BCI/BCK-algebra. Alos, homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of
BMBJ-neutrosophic subalgebra is investigated. At the end, we provided conditions for an BMBJ-neutrosophic set to
be an BMBJ-neutrosophic subalgebra.