Direct limits and reduced products of algebras with fuzzy equalities
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00003612" target="_blank" >RIV/61989592:15310/07:00003612 - 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
Direct limits and reduced products of algebras with fuzzy equalities
Original language description
We study direct limits and reduced products of algebras with fuzzy equalities. On the one hand, algebras with fuzzy equalities are natural fuzzy structures that disallow to map similar arguments to dissimilar ones. On the other hand, they are exactly thesemantic structures of the equational fragment of first-order fuzzy logic. In this paper we propose generalizations of direct limits and reduced products and point out those properties which are not interesting in the classical (bivalent) case, but which seem to be of a crucial importance when considering the quasivarieties of algebras with fuzzy equalities.
Czech name
Direktní limity a redukované součiny algeber s fuzzy rovností
Czech description
Zabýváme se direktními limitami a redukovanými součiny algeber s fuzzy rovností. Algebry s fuzzy rovností jsou algebry, jejichž operace zachovávají podobnost - podobné argumenty dávají při použití operací algebry podobné výsledky. Podobnost je formalizována pomoci speciální fuzzy relace - tzv. fuzzy rovnosti. V tomto článku navrhujeme dvě obecné algebraické konstrukce, které se ukázaly mít důležitý význam v teorii kvazivariet algeber s fuzzy rovnostmi.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
<a href="/en/project/KJB1137301" target="_blank" >KJB1137301: Relational systems in presence of vagueness and uncertainty:mathematical foundations for applications</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING
ISSN
1542-3980
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
1/2
Country of publishing house
US - UNITED STATES
Number of pages
28
Pages from-to
1-28
UT code for WoS article
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EID of the result in the Scopus database
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