KYBERNETIKA

Kybernetika 43(4):481-490, 2007.

On Some Contributions to Quantum Structures by Fuzzy Sets

Beloslav Riečan

Abstract:

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.

Keywords: probability; fuzzy sets; MV-algebra; IF events;

AMS: 06D35; 03B50; 03G12;