Fuzzy sets and probability theory. (English) Zbl 0790.60005

There is presented a generalization of classical probability theory for the case of fuzzy events. This generalization is based on the Kolmogorov’s axiomatic model. Union and intersection of fuzzy events are defined respectively as triangular conorm and triangular norm.


60A99 Foundations of probability theory
03E72 Theory of fuzzy sets, etc.