On n-contractive Fuzzy Logics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F07%3A00080342" target="_blank" >RIV/67985807:_____/07:00080342 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/07:00134166
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On n-contractive Fuzzy Logics
Original language description
It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w. r. t. the class of all finite MTL-chains. In order to reach a deeper understanding of the structure of this class, we consider the extensions of MTL by addingthe generalized contraction since each finite MTL-chain satisfies a form of this generalized contraction. Simultaneously, we also consider extensions of MTL by the generalized excluded middle laws introduced in [9] and the axiom of weak cancellation defined in [31]. The algebraic counterpart of these logics is studied characterizing the subdirectly irreducible, the semisimple, and the simple algebras. Finally, some important algebraic and logical properties of the considered logics are discussed: localfiniteness, finite embeddability property, finite model property, decidability, and standard completeness.
Czech name
O n-kontraktivních fuzzy logikách
Czech description
Článek se zabývá algebraickou sémantikou fuzzy logik splňujících zobecněný axiom kontrakce nebo zobecněný zákon vyloučeného třetího. Pro tyto logiky ukazuje jaké algebraické a logické vlasnosti splňují. Jedná se zejména o lokální konečnost, konečnou vnořitelnost, vlastnost konečných modelů, rozhodnutelnost a standardní úplnost.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/1ET100300517" target="_blank" >1ET100300517: Methods for Intelligent Systems and Their Applications in Datamining and Natural Language Processing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>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
Mathematical Logic Quarterly
ISSN
0942-5616
e-ISSN
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Volume of the periodical
53
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
268-288
UT code for WoS article
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EID of the result in the Scopus database
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