On Monotonicities of Interval Valued Functions

In this paper, we develop the notions of weak/directional monotonicity (developed by Sesma-Sara et al. in terms of the \emph{Kulisch-Miranker order}) and the notion of $G$-monotonicity (introduced by Santiago et al. for $[0,\text{\hspace{0.17em}⁣}1]$) for intervals endowed with admissible orders.