The Sigma-complete MV-algebras which Have Enough States

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A03114010" target="_blank" >RIV/68407700:21230/05:03114010 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

The Sigma-complete MV-algebras which Have Enough States

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. As a tool, 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 Lukasiewicz tribes.

Czech name

Není k dispozici

Czech description

Není k dispozici

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JD - Use of computers, robotics and its application

OECD FORD branch

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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)

Publication year

2005

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Colloquium Mathematicum

ISSN

0010-1354

e-ISSN

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Volume of the periodical

103

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

10

Pages from-to

121-130

UT code for WoS article

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EID of the result in the Scopus database

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