In this paper, we focus on generalizing BpiR-matrices into the interval setting, including some results regarding this class. There are two possible ways to generalize BpiR-matrices into the interval setting, but we prove that, in a sense, they are one.
We derive mainly recognition methods for this interval matrix class, such as characterizations, necessary conditions, and sufficient ones. Next, we also take a look at interval B -matrices and interval doubly B-matrices, which were introduced recently, and we present characterizations through reduction for them and for BpiR-matrices.