In this paper we develop the idea of abstract homogeneity in the context of interval-valued (IV) functions endowed with admissible orders. We investigate some of its properties and the notion of self-homogeneity. We show how this framework behaves with respect to some fuzzy connectives. We show that some properties of the usual notions of $\min$ and $\max$ are not more available when we deal with admissible orders. Keywords: Interval-Valued Functions; Abstract Homogeneity; Monotonicity.