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Kybernetika 42(3):287-302, 2006.

Semicopulas: Characterizations and Applicability

Fabrizio Durante, José Juan Quesada-Molina and Carlo Sempi


Abstract:

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.


Keywords: semicopula; quasi-copula; Lipschitz condition; aggregation operator;


AMS: 60E05; 60E15; 26B35;


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BIB TeX

@article{kyb:2006:3:287-302,

author = {Durante, Fabrizio and Quesada-Molina, Jos\'{e} and Sempi, Carlo },

title = {Semicopulas: Characterizations and Applicability},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {3},

pages = {287-302}

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

}


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