Geometry of generators of triangular norms and copulas

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00375829" target="_blank" >RIV/68407700:21230/24:00375829 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1515/demo-2024-0004" target="_blank" >https://doi.org/10.1515/demo-2024-0004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/demo-2024-0004" target="_blank" >10.1515/demo-2024-0004</a>

Result language
angličtina
Original language name
Geometry of generators of triangular norms and copulas
Original language description
We study relations between the shapes of strict triangular norms and their generators. The generators are not unique; to avoid this ambiguity, we introduce the class of balanced generators. We find conditions for their existence and a procedure of their computation. We formulate their influence on local properties of the corresponding triangular norms, in particular at the extremes of their domain. Many strict triangular norms are also copulas; thus our results can also be applied to bivariate extreme value distributions described by some families of copulas.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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