@Lesri
Ok, let me share my thoughts to your questions.
You want to define and categorize information? That sounds like a clear case of Ti (introverted thinking) to me.
The question is do you want it in a way that it is easier for yourself or for other people to understand.

When it comes to intution. I would describe it in my own words as abstract pattern association. Ok, that might not be that useful for you.
When it comes to perception functions. Extroverted perception is static and introverted perception is dynamic.
Which means: The associations of Ne are static and the associations of Ni are dynamic.

I would describe Ne as spotanous and it has a snapshot like feeling, but with Ne you can see differerent asscotiations in a row between different ideas.

With Ni the associations changes their represantation. I would't say Ni seeks, it finds. I would assign the word seeking to Ne, but your subconscious does that for you and me.