timelets: (Default)
[personal profile] timelets
Ok, let's continue with the Problem category.

Object types in the category: Problem, Cluster, Clustering Criteria, Sorting Criteria, Sorting Arrows
Arrows in the category:
f: Problem -> Cluster
g: Cluster -> Clustering Criteria
h: Sorting Criteria -> Sorting Arrow (a0, a1, a2...), where a: A->B (sorting function operating on problems)

We also need to define a binary operator + that allows us to add (concatenate) problems.

The category allows us to analyze problems by clustering, prioritizing, and combining them.

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