A characterization of quasi-copulas
Journal of Multivariate Analysis
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
Matrix representation of discrete quasi-copulas
Fuzzy Sets and Systems
Some new characterizations and properties of quasi-copulas
Fuzzy Sets and Systems
Copula-Like Operations on Finite Settings
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Hi-index | 0.20 |
Following Aguilo-Suner-Torrens (2008), Kolesarova-Mesiar-Mordelova-Sempi (2006) and Mayor-Suner-Torrens (2005), we continue to develop a theory of matrix representation for discrete copulas. To be more precise, we give characterizations of meet-irreducible discrete copulas from an order-theoretical aspect: we show that the set of all irreducible discrete copulas is a lattice in analogy with Nelsen and Ubeda-Flores (2005). Moreover, we clarify its lattice structure related to Kendall@?s @t and Spearman@?s @r borrowing ideas from Coxeter groups.