Graduate studies at Western
Studia Logica 94 (2):215 - 230 (2010)
|Abstract||First, we discuss basic probability notions from the viewpoint of category theory. Our approach is based on the following four “sine quibus non” conditions: 1. (elementary) category theory is efficient (and suffices); 2. random variables, observables, probability measures, and states are morphisms; 3. classical probability theory and fuzzy probability theory in the sense of S. Gudder and S. Bugajski are special cases of a more general model; 4. a good model allows natural modifications.|
|Keywords||probability theory fuzzy probability theory categorical approach to probability theory D-poset of fuzzy sets quantum character of a model cogenerator probability domain state observable random variable simplex-valued theory|
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