Sufficient Triangular Norms in Many-valued Logics with Standard Negation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F05%3A03114005" target="_blank" >RIV/68407700:21230/05:03114005 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/05:00411462
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Sufficient Triangular Norms in Many-valued Logics with Standard Negation
Original language description
In many-valued logics with the unit interval as the set of truth values, from the standard negation and the product (or, more generally, from any strict Frank t-norm) all measurable logical functions can be derived, provided that also operations with countable arity are allowed. The question remained open whether there are other t-norms with this property or whether all strict t-norms possess this property. We give a full solution to this problem (in the case of strict t-norms), together with convenientsufficient conditions. We list several families of strict t-norms having this property and provide also counterexamples (the Hamacher product is one of them). Finally, we discuss the consequences of these results for the characterization of tribes basedon strict t-norms.
Czech name
Není k dispozici
Czech description
Není k dispozici
Classification
Type
J<sub>x</sub> - 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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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Mathematical Logic
ISSN
0933-5846
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
829-849
UT code for WoS article
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EID of the result in the Scopus database
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