Set representations of sigma-complete MV-algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A00107237" target="_blank" >RIV/68407700:21230/04:00107237 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Set representations of sigma-complete MV-algebras
Original language description
We characterize Lukasiewicz tribes, i.e., collections of fuzzy sets that are closed under the standard fuzzy complementation and the Lukasiewicz t-norm with countably many arguments. We introduce sigma-McNaughton functions as the closure of McNaughton functions under countable MV-algebraic operations. We give a measure-theoretical characterization of sigma-complete MV-algebras which are isomorphic to {L}ukasiewicz tribes.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F02%2F1540" target="_blank" >GA201/02/1540: Many-valued logics for soft computing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů