Abstract
In this paper, first we introduce the concepts of interval valued m-polar fuzzy (briefly, IVmPF) p-ideals, IVmPF q-ideals and IVmPF a-ideals in BCI-algebras. Then we show that IVmPF p(q and a)-ideals are IVmPF ideals but the converse statements are not valid and an example is given in each case. We provide conditions under which an IVmPF ideal becomes an IVmPF p(q and a)-ideal. Further, the associated properties of IVmPF p-ideals, IVmPF q-ideals and IVmPF a-ideals are considered. Moreover, we characterize IVmPF p(q and a)-ideals in terms of fuzzy p(q and a)-ideals of BCI-algebras. Also, correspondences among IVmPF p(q and a)-ideals of BCI-algebras and p(q and a)-ideals of BCI-algebras are investigated.