[AS3] Multiple inheritance

Without being able to modify the prototype chain, is it possible to fake multiple inheritance in AS3?

Say I have three Window classes. One is a DraggableWindow, one is a ScalingWindow, and one is a BorderWindow.

I want to mix and match new subclasses at runtime without having to make tons of new permutations of Window subclass possibilities.

Sure, I can implement these behaviors of the Window class as interfaces, but I would still have to account for all the permutations of interface combinations.

Does anyone have an elegant solution to this? I looked at the Decorator pattern, but seems like that is only applicable when you want to add new functionality to existing methods.