Markov kernels and tribes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73589773" target="_blank" >RIV/61989592:15310/18:73589773 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0020025516314505" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025516314505</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ins.2018.05.042" target="_blank" >10.1016/j.ins.2018.05.042</a>
Alternative languages
Result language
angličtina
Original language name
Markov kernels and tribes
Original language description
We define an ordering on the set of bounded Markov kernels associated with a tribe of fuzzy sets. We show that under this order, the set of bounded Markov kernels is a Dedekind sigma-complete lattice. In addition, we define a sum of bounded Markov kernels such that the set of bounded Markov kernels is a lattice-ordered semigroup. If we concentrate only to sharp bounded Markov kernels, then this set is even a Dedekind sigma-complete l-group with strong unit. We show that our methods work also for bounded Markov kernels associated with T-s-tribes of fuzzy sets, where T-s is any Frank t-norm and s is an element of (0, infinity). (C) 2018 Elsevier Inc. All rights reserved.
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
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INFORMATION SCIENCES
ISSN
0020-0255
e-ISSN
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Volume of the periodical
460
Issue of the periodical within the volume
SEP
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
42-50
UT code for WoS article
000441494000003
EID of the result in the Scopus database
2-s2.0-85047473477