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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F14%3A00432228%21RIV15-GA0-67985556
rdf:type
skos:Concept n12:Vysledek
dcterms: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. 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.
dcterms:title
Universal integrals based on copulas Universal integrals based on copulas
skos:prefLabel
Universal integrals based on copulas Universal integrals based on copulas
skos:notation
RIV/67985556:_____/14:00432228!RIV15-GA0-67985556
n4:aktivita
n5:P n5:I
n4:aktivity
I, P(GAP402/11/0378)
n4:cisloPeriodika
3
n4:dodaniDat
n11:2015
n4:domaciTvurceVysledku
n18:8494282
n4:druhVysledku
n16:J
n4:duvernostUdaju
n10:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
51983
n4:idVysledku
RIV/67985556:_____/14:00432228
n4:jazykVysledku
n14:eng
n4:klicovaSlova
capacity; copula; universal integral
n4:klicoveSlovo
n7:copula n7:universal%20integral n7:capacity
n4:kodStatuVydavatele
US - Spojené státy americké
n4:kontrolniKodProRIV
[46A5FB8E54B8]
n4:nazevZdroje
Fuzzy Optimization and Decision Making
n4:obor
n13:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
4
n4:projekt
n17:GAP402%2F11%2F0378
n4:rokUplatneniVysledku
n11:2014
n4:svazekPeriodika
13
n4:tvurceVysledku
Stupňanová, A. Klement, E. P. Spizzichino, F. Mesiar, Radko
n4:wos
000339889600002
s:issn
1568-4539
s:numberOfPages
14
n8:doi
10.1007/s10700-014-9182-4