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View article: Łukasiewicz Logic and the Divisible Extension of Probability Theory
Łukasiewicz Logic and the Divisible Extension of Probability Theory Open
We show that measurable fuzzy sets carrying the multivalued Łukasiewicz logic lead to a natural generalization of the classical Kolmogorovian probability theory. The transition from Boolean logic to Łukasiewicz logic has a categorical back…
View article: Ján Borsík (1955 – 2019)
Ján Borsík (1955 – 2019) Open
Sciendo provides publishing services and solutions to academic and professional organizations and individual authors. We publish journals, books, conference proceedings and a variety of other publications.
View article: Product of Measurable Spaces and Applications
Product of Measurable Spaces and Applications Open
We deal with products of measurable spaces and relationships between measures on products and asymmetrical stochastic dependence/independence of one extended probability space on another one.
View article: Real Functions in Stochastic Dependence
Real Functions in Stochastic Dependence Open
In a fuzzified probability theory, random events are modeled by measurable functions into [0,1] and probability measures are replaced with probability integrals. The transition from Boolean two-valued logic to Lukasiewicz multivalued logic…
View article: Upgrading Probability via Fractions of Events
Upgrading Probability via Fractions of Events Open
The influence of “Grundbegriffe” by A. N. Kolmogorov (published in 1933) on education in the area of probability and its impact on research in stochastics cannot be overestimated. We would like to point out three aspects of the classical p…