Right now, I’m working from a starting point of trying to understand as many systems as I can that fall into a category of “complete lattice”.
I’m working from that mathematical construct as a basis right now as I understand mathematical morphology, which is a complete lattice. My thinking is: If you understand one complete lattice system it’s probably possible to understand any complete lattice.
The first search result I found for “shown to be a complete lattice” was Formal Concept Analysis.
I looked through and I’m able to see how having a structured set of triples forms a complete lattice.
From that, I can make an analogy to link what I understand (mathematical morphology) to Formal concept analysis.
As a bonus, i found WordNet tied into FCA which is exciting to me as I enjoy working with WordNet hypernyms.
This boosts my comprehension further.
From this point, I’ll start looking at other complete lattices that I find from different fields.