Probability Theory for Fuzzy Quantum Spaces with Statistical Applications


by

Renáta Bartková, Beloslav Riečan, Anna Tirpáková

DOI: 10.2174/97816810853881170101
eISBN: 978-1-68108-538-8, 2017
ISBN: 978-1-68108-539-5





The reference considers probability theory in two main domains: fuzzy set theory, and quantum models. Readers will learn about the Kol...[view complete introduction]

Kolmogorov Probability Theory

- Pp. 1-54 (54)

Renáta Bartková, Beloslav Riečan and Anna Tirpáková

Abstract

Kolmogorov probability theory based on set theory belongs to the most important results of mathematics of the 20th century. Naturally, its main advantage is the possibility to use results of the modern measure theory. However, this fact sometimes does not allow larger considerations. In this chapter we want to show this paradox can be eliminated. Of course, we present only some basic ideas. Understanding them enables one to study further results and applications.

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