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

Klement, Erich Peter   ; Kolesárová, Anna

Kybernetika, Tome 41 (2005) no. 3, pp. 329-348

Abstract (VO)

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).

Détail

Classification : 26B99, 60E05
Keywords: copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal

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