Extension to copulas and quasi-copulas as special 1 -Lipschitz aggregation operators

Erich Peter Klement; Anna Kolesárová

Kybernetika (2005)

  • Volume: 41, Issue: 3, page [329]-348
  • ISSN: 0023-5954

Abstract

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Smallest and greatest 1 -Lipschitz aggregation operators with given diagonal section, opposite diagonal section, and with graphs passing through a single point of the unit cube, respectively, are determined. These results are used to find smallest and greatest copulas and quasi-copulas with these properties (provided they exist).

How to cite

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Klement, Erich Peter, and Kolesárová, Anna. "Extension to copulas and quasi-copulas as special $1$-Lipschitz aggregation operators." Kybernetika 41.3 (2005): [329]-348. <http://eudml.org/doc/33757>.

@article{Klement2005,
abstract = {Smallest and greatest $1$-Lipschitz aggregation operators with given diagonal section, opposite diagonal section, and with graphs passing through a single point of the unit cube, respectively, are determined. These results are used to find smallest and greatest copulas and quasi-copulas with these properties (provided they exist).},
author = {Klement, Erich Peter, Kolesárová, Anna},
journal = {Kybernetika},
keywords = {copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal; copula; quasi-copula; 1-Lipschitz aggregation operator; diagonal},
language = {eng},
number = {3},
pages = {[329]-348},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Extension to copulas and quasi-copulas as special $1$-Lipschitz aggregation operators},
url = {http://eudml.org/doc/33757},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Klement, Erich Peter
AU - Kolesárová, Anna
TI - Extension to copulas and quasi-copulas as special $1$-Lipschitz aggregation operators
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 3
SP - [329]
EP - 348
AB - Smallest and greatest $1$-Lipschitz aggregation operators with given diagonal section, opposite diagonal section, and with graphs passing through a single point of the unit cube, respectively, are determined. These results are used to find smallest and greatest copulas and quasi-copulas with these properties (provided they exist).
LA - eng
KW - copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal; copula; quasi-copula; 1-Lipschitz aggregation operator; diagonal
UR - http://eudml.org/doc/33757
ER -

References

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Citations in EuDML Documents

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  1. Bernard De Baets, Hans De Meyer, Radko Mesiar, Asymmetric semilinear copulas
  2. Manuel Úbeda-Flores, A new family of trivariate proper quasi-copulas
  3. Erich Peter Klement, Radko Mesiar, How non-symmetric can a copula be?
  4. Fabrizio Durante, Anna Kolesárová, Radko Mesiar, Carlo Sempi, Copulas with given values on a horizontal and a vertical section
  5. Gaspar Mayor, Radko Mesiar, Joan Torrens, On quasi-homogeneous copulas
  6. José Antonio Rodríguez–Lallena, Manuel Úbeda-Flores, Quasi-copulas with quadratic sections in one variable

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