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Kybernetika 41(3):329-348, 2005.

Extension to Copulas and Quasi-Copulas as Special 1-Lipschitz Aggregation Operators

Erich Peter Klement and Anna Kolesárová


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).


Keywords: copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal;


AMS: 60E05; 26B99;


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BIB TeX

@article{kyb:2005:3:329-348,

author = {Klement, Erich Peter and Koles\'{a}rov\'{a}, Anna },

title = {Extension to Copulas and Quasi-Copulas as Special $1$-Lipschitz Aggregation Operators},

journal = {Kybernetika},

volume = {41},

year = {2005},

number = {3},

pages = {329-348}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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