Quasi-Copulas, Copulas and Fuzzy Implicators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA210274F" target="_blank" >RIV/61988987:17610/20:A210274F - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/journals/ijcis/125941266" target="_blank" >https://www.atlantis-press.com/journals/ijcis/125941266</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/ijcis.d.200527.004" target="_blank" >10.2991/ijcis.d.200527.004</a>
Alternative languages
Result language
angličtina
Original language name
Quasi-Copulas, Copulas and Fuzzy Implicators
Original language description
In this paper, we study relations between fuzzy implicators and some kinds of fuzzy conjunctors, in particular, quasi-copulas and copulas. We show that there is a one-to-one correspondence between the classes of all quasi-copulas and 1-Lipschitz fuzzy implicators. A similar relation holds for copulas and 2-increasing 1-Lipschitz fuzzy implicators. Based on these relations, we introduce, discuss and exemplify several new construction methods for fuzzy implicators, and also discuss several dualities on the class of all 1-Lipschitz fuzzy implicators. In addition, we introduce a construction method for fuzzy implicators based on any two copulas and a Lebesgue integrable fuzzy implicator, and discuss some of its special cases.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS
ISSN
1875-6891
e-ISSN
1875-6883
Volume of the periodical
13
Issue of the periodical within the volume
1
Country of publishing house
FR - FRANCE
Number of pages
9
Pages from-to
681-689
UT code for WoS article
000565532900020
EID of the result in the Scopus database
2-s2.0-85087109691