Universal integrals based on copulas
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00432228" target="_blank" >RIV/67985556:_____/14:00432228 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10700-014-9182-4" target="_blank" >http://dx.doi.org/10.1007/s10700-014-9182-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10700-014-9182-4" target="_blank" >10.1007/s10700-014-9182-4</a>
Alternative languages
Result language
angličtina
Original language name
Universal integrals based on copulas
Original language description
A hierarchical family of integrals based on a fixed copula is introduced and discussed. The extremal members of this family correspond to the inner and outer extension of integrals of basic functions, the copula under consideration being the corresponding multiplication. The limits of the members of the family are just copula-based universal integrals as recently introduced in Klement et al. (IEEE Trans Fuzzy Syst 18:178?187, 2010). For the product copula, the family of integrals considered here contains the Choquet and the Shilkret integral, and it belongs to the class of decomposition integrals proposed in Even and Lehrer (Econ Theory, 2013) as well as to the class of superdecomposition integrals introduced in Mesiar et al. (Superdecomposition integral, 2013). For the upper Fréchet-Hoeffding bound, the corresponding hierarchical family contains only two elements: all but the greatest element coincide with the Sugeno integral.
Czech name
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Czech description
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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/GAP402%2F11%2F0378" target="_blank" >GAP402/11/0378: Aggregation of knowledge and expectations in the models of mathematical economics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Optimization and Decision Making
ISSN
1568-4539
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
273-286
UT code for WoS article
000339889600002
EID of the result in the Scopus database
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