Geodesic
Semicopulas: characterizations and applicability
Kybernetika, Tome 42 (2006) no. 3, pp. 287-302 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We characterize some bivariate semicopulas and, among them, the semicopulas satisfying a Lipschitz condition. In particular, the characterization of harmonic semicopulas allows us to introduce a new concept of depedence between two random variables. The notion of multivariate semicopula is given and two applications in the theory of fuzzy measures and stochastic processes are given.
We characterize some bivariate semicopulas and, among them, the semicopulas satisfying a Lipschitz condition. In particular, the characterization of harmonic semicopulas allows us to introduce a new concept of depedence between two random variables. The notion of multivariate semicopula is given and two applications in the theory of fuzzy measures and stochastic processes are given.
Classification : 03E72, 26B35, 60E05, 60E15
Keywords: semicopula; quasi-copula; Lipschitz condition; aggregation operator 
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Durante, Fabrizio; Quesada-Molina, José; Sempi, Carlo. Semicopulas: characterizations and applicability. Kybernetika, Tome 42 (2006) no. 3, pp. 287-302. http://geodesic.mathdoc.fr/item/KYB_2006_42_3_a3/

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