Probability theory and the operations with IF-sets

Beloslav Riečan · 2008

Probability on IF-events is considered as a continuous and additive mapping. Of course, the notion of additivity depends on operations with IF-events. In this paper four types of probability theory are considered with respect to four types of operations with IF-events. In all the types the existence of the joint observable can be proved what is a key for a construction of a good probability theory.

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