Theory of fuzzy events (fuzzy mathematical eventology) is a mathematical language of eventology – a new direction the probability theory; is based on the principle of eventological duality of notion of a set of random events and a random set of events; studying eventological distributions of a set of random events and eventological structures of its dependencies.
Fuzzy mathematical eventology (theory of fuzzy events) studies fuzzy events and sets of fuzzy events, its probability distributions and structures of its dependencies and generalizes fuzzy set theory[1][2][3][4][5], possibility theory[6] and Dempster-Shafer theory of evidence[7];
The basic eventological terms edit
- Event, probability and value
- Conditional event, conditional probability and conditional value
- Set of events and random set of events
- Event-terrace
- Eventological duality
- Eventological distribution
- Eventological language
- Eventological glossary
- Additive set-functions and measures
- Set-formulae of Mobius inversing events-terraces
- Formulae of Mobius inversing eventological distributions
- Set-means characteristics of a random set of events
- Eventological Bayes's theorem
- Frechet's covariances and correlations
- The structure of dependencies of a set of events
- Eventological copula
References edit
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