Probability Theory for Fuzzy Quantum Spaces with Statistical Applications

Probability Theory on Fuzzy Sets

Author(s): Renáta Bartková, Beloslav Riečan and Anna Tirpáková

Pp: 55-83 (29)

DOI: 10.2174/9781681085388117010005

* (Excluding Mailing and Handling)


Similarly as the Kolmogorov probability theory in the first half of the 20th century, the Zadeh fuzzy set theory played a significant role in the second half of the 20th century. In this chapter we present probability theory on intuitionisic fuzzy sets as well as probability spaces on multivalued logic.

Keywords: Uncertainty, Fuzzy set, IF-set, IF-event, MV-algebras, Randomness, Observables.

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