  The notion of semi-BCI algebras is introduced and some of its properties are
investigated. This algebra is another generalization for BCI-algebras. It
arises from the "intervalization" of BCI algebras. Semi-BCI have a similar
structure to Pseudo-BCI algebras however they are not the same. In this paper
we also provide an investigation on the similarity between these classes of
algebras by showing how they relate to the process of intervalization.
