Copula-Like Operations on Finite Settings

Authors:
G. Mayor;J. Suner;J. Torrens
Affiliations:
-;-;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2005

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Abstract

This paper deals with discrete copulas considered as a class of binary aggregation operators on a finite chain. A representation theorem by means of permutation matrices is given. From this characterization, we study the structure of associative discrete copulas and a theorem of decomposition of any discrete copula in terms of associative discrete copulas is obtained. Finally, some aspects concerning their extension to copulas are dealt with.