Monge-Ampère-type operators play an important role in many problems in analysis and geometry. Many of these operators can naturally be considered as measure-valued valuations on spaces of convex functions, and consequently, they have found a number of applications in the construction of invariant valuations on convex bodies and convex functions. In this talk, I will present a characterization of a certain class of measure-valued valuations and different descriptions of these functionals in terms of mixed Monge-Ampère operators and differential forms.