An approach to stochastic processes via non-classical logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609914" target="_blank" >RIV/61989592:15310/21:73609914 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0168007221000701" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0168007221000701</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apal.2021.103012" target="_blank" >10.1016/j.apal.2021.103012</a>
Alternative languages
Result language
angličtina
Original language name
An approach to stochastic processes via non-classical logic
Original language description
Within the infinitary variety of sigma-complete Riesz MV-algebras RMV sigma, we introduce the algebraic analogue of a random variable as a homomorphism defined on the free algebra in RMV sigma. After a preliminary study of the proposed notion, we use it to define stochastic processes in the framework of non-classical logic (Lukasiewicz logic, more precisely) and we define stochastic independence.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Pure and Applied Logic
ISSN
0168-0072
e-ISSN
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Volume of the periodical
172
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
22
Pages from-to
"103012-1"-"103012-22"
UT code for WoS article
000677481600009
EID of the result in the Scopus database
2-s2.0-85107689158