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Statements

Subject Item
n2:RIV%2F61988987%3A17610%2F13%3AA14017SS%21RIV14-MSM-17610___
rdf:type
n8:Vysledek skos:Concept
dcterms:description
A new method of constructing 1-Lipschitz aggregation functions is proposed and studied. As a by product, a new method of constructing (quasi-)copulas from a given (quasi-)copula C is obtained. Newly constructed copulas are negative quadrant dependent for any original copula C. The only invariant copula under this construction is the Fréchet-Höffding lower bound W. The method preserves several important properties of copulas, such as modularity, absolute continuity or symmetry, and commutes with some other constructions, e.g., the construction of survival copulas. A new method of constructing 1-Lipschitz aggregation functions is proposed and studied. As a by product, a new method of constructing (quasi-)copulas from a given (quasi-)copula C is obtained. Newly constructed copulas are negative quadrant dependent for any original copula C. The only invariant copula under this construction is the Fréchet-Höffding lower bound W. The method preserves several important properties of copulas, such as modularity, absolute continuity or symmetry, and commutes with some other constructions, e.g., the construction of survival copulas.
dcterms:title
On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas
skos:prefLabel
On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas On a new construction of 1-Lipschitz aggregation functions, quasi-copulas and copulas
skos:notation
RIV/61988987:17610/13:A14017SS!RIV14-MSM-17610___
n8:predkladatel
n11:orjk%3A17610
n3:aktivita
n12:P
n3:aktivity
P(ED1.1.00/02.0070)
n3:cisloPeriodika
226
n3:dodaniDat
n4:2014
n3:domaciTvurceVysledku
n16:8494282
n3:druhVysledku
n13:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n6:predkladatel
n3:idSjednocenehoVysledku
93640
n3:idVysledku
RIV/61988987:17610/13:A14017SS
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Aggregation function; 1-Lipschitz aggregation function; Copula; Construction of copulas; Quasi-copula
n3:klicoveSlovo
n10:1-Lipschitz%20aggregation%20function n10:Aggregation%20function n10:Construction%20of%20copulas n10:Quasi-copula n10:Copula
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[597C421E0F53]
n3:nazevZdroje
FUZZY SET SYST
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n17:ED1.1.00%2F02.0070
n3:rokUplatneniVysledku
n4:2013
n3:svazekPeriodika
36
n3:tvurceVysledku
Kalická, Jana Mesiar, Radko Kolesárová, Anna
s:issn
0165-0114
s:numberOfPages
13
n7:organizacniJednotka
17610