Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras

In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple
ideals and investigate their related properties. Also, for any two nonempty subsets U and V of a BCI-algebra S,
conditions for the set NQ(U; V ) to be a (regular) neutrosophic quadruple ideal and a neutrosophic quadruple q-ideal
of a neutrosophic quadruple BCI-algebra NQ(S) are discussed. Furthermore, we prove that let U; V; I and J be
ideals of a BCI-algebra S such that I U and J V . If I and J are q-ideals of S, then the neutrosophic quadruple
(U; V )-set NQ(U; V ) is a neutrosophic quadruple q-ideal of NQ(S).