  We introduce the interval Darboux delta integral (shortly, the $ID$
$\Delta$-integral) and the interval Riemann delta integral (shortly, the $IR$
$\Delta$-integral) for interval-valued functions on time scales. Fundamental
properties of $ID$ and $IR$ $\Delta$-integrals and examples are given. Finally,
we prove Jensen's, H\"{o}lder's and Minkowski's inequalities for the $IR$
$\Delta$-integral. Also, some examples are given to illustrate our theorems.
