For a generic definition, I like this one: "the ability to comprehend; to understand and profit from experience" (Princeton)
However, for the purposes of our definition project, we also must address the fractal/emergent question. I suggest we stipulate that it not be prejudiced either way. I also do not object if you want to go with a tougher set of properties like the ones I raised (decision-making, awareness, purpose).
My counter proposals:
I will propose a merger of our various alternatives:
Intelligence - abstract comprehension, experiential awareness, and reasoned purpose whether fractal, emergent, or otherwise.
That would work great in my view.
PS. And, to modify that very slightly, I would insert "calculation" or "intentionality" where we both have "purpose" above (to distinguish from "purpose" in the sense of exhibiting utility or function).