1-Lipschitz aggregation operators and quasi-copulas
Kybernetika (2003)
- Volume: 39, Issue: 5, page [615]-629
- ISSN: 0023-5954
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topKolesárová, Anna. "1-Lipschitz aggregation operators and quasi-copulas." Kybernetika 39.5 (2003): [615]-629. <http://eudml.org/doc/33669>.
@article{Kolesárová2003,
abstract = {In the paper, binary 1-Lipschitz aggregation operators and specially quasi-copulas are studied. The characterization of 1-Lipschitz aggregation operators as solutions to a functional equation similar to the Frank functional equation is recalled, and moreover, the importance of quasi-copulas and dual quasi-copulas for describing the structure of 1-Lipschitz aggregation operators with neutral element or annihilator is shown. Also a characterization of quasi-copulas as solutions to a certain functional equation is proved. Finally, the composition of 1-Lipschitz aggregation operators, and specially quasi-copulas, is studied.},
author = {Kolesárová, Anna},
journal = {Kybernetika},
keywords = {aggregation operator; 1-Lipschitz aggregation operator; copula; quasi-copula; kernel aggregation operator; aggregation operator; 1-Lipschitz aggregation operator; copula; quasi-copula; kernel aggregation operator},
language = {eng},
number = {5},
pages = {[615]-629},
publisher = {Institute of Information Theory and Automation AS CR},
title = {1-Lipschitz aggregation operators and quasi-copulas},
url = {http://eudml.org/doc/33669},
volume = {39},
year = {2003},
}
TY - JOUR
AU - Kolesárová, Anna
TI - 1-Lipschitz aggregation operators and quasi-copulas
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 5
SP - [615]
EP - 629
AB - In the paper, binary 1-Lipschitz aggregation operators and specially quasi-copulas are studied. The characterization of 1-Lipschitz aggregation operators as solutions to a functional equation similar to the Frank functional equation is recalled, and moreover, the importance of quasi-copulas and dual quasi-copulas for describing the structure of 1-Lipschitz aggregation operators with neutral element or annihilator is shown. Also a characterization of quasi-copulas as solutions to a certain functional equation is proved. Finally, the composition of 1-Lipschitz aggregation operators, and specially quasi-copulas, is studied.
LA - eng
KW - aggregation operator; 1-Lipschitz aggregation operator; copula; quasi-copula; kernel aggregation operator; aggregation operator; 1-Lipschitz aggregation operator; copula; quasi-copula; kernel aggregation operator
UR - http://eudml.org/doc/33669
ER -
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Citations in EuDML Documents
top- Manuel Úbeda-Flores, A new family of trivariate proper quasi-copulas
- Erich Peter Klement, Anna Kolesárová, Extension to copulas and quasi-copulas as special -Lipschitz aggregation operators
- Fabrizio Durante, Carlo Sempi, Semicopulæ
- José Antonio Rodríguez–Lallena, Manuel Úbeda-Flores, Quasi-copulas with quadratic sections in one variable
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