On A Random Function Defined On A Pseudo Boolean Algebra
Some statistical paradoxes arising from the use of non-conglomerable finitely additive distributions are discussed.
It is well known that the fuzzy sets theory can be successfully used in quantum models ([5, 26]). In this paper we give first a review of recent development in the probability theory on tribes and their generalizations – multivalued (MV)-algebras. Secondly we show some applications of the described method to develop probability theory on IF-events.
von Neumann's reliance on the von Mises frequentist interpretation is discussed and compared with the Dutchbook approach proposed by de Finetti.