On the α-migrativity of multivariate semi-copulas

In this paper we introduce and study the @a-migrative property for the class of multivariate semi-copulas. In particular, a characterization of @a-migrative copulas is provided.

[1]  Imre J. Rudas,et al.  On continuous triangular norms that are migrative , 2007, Fuzzy Sets Syst..

[2]  Fabrizio Durante,et al.  A note on the convex combinations of triangular norms , 2008, Fuzzy Sets Syst..

[3]  Bernard De Baets,et al.  Orthogonal Grid Constructions of Copulas , 2007, IEEE Transactions on Fuzzy Systems.

[4]  Fabrizio Durante,et al.  Supermigrative semi-copulas and triangular norms , 2009, Inf. Sci..

[5]  R. Nelsen An Introduction to Copulas , 1998 .

[6]  Radko Mesiar,et al.  Editorial to the special issue devoted to "Copulas, measures and integrals" , 2009, Inf. Sci..

[7]  Imre J. Rudas,et al.  Migrative t-norms with respect to continuous ordinal sums , 2011, Inf. Sci..

[8]  Fabrizio Durante,et al.  AGING FUNCTIONS AND MULTIVARIATE NOTIONS OF NBU AND IFR , 2010, Probability in the Engineering and Informational Sciences.

[9]  H. Bustince,et al.  Migrativity of aggregation functions , 2009, Fuzzy Sets Syst..

[10]  Fabrizio Durante,et al.  Supermigrative copulas and positive dependence , 2012 .

[11]  Fabrizio Durante,et al.  Semicopulas: characterizations and applicability , 2006, Kybernetika.

[12]  Fabio Spizzichino,et al.  Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes , 2005 .

[13]  Fabrizio Durante,et al.  Rectangular Patchwork for Bivariate Copulas and Tail Dependence , 2009 .

[14]  Carlo Sempi,et al.  Copulæ: Some mathematical aspects , 2011 .

[15]  Christian Genest,et al.  A Characterization of Quasi-copulas , 1999 .

[16]  Fabrizio Durante,et al.  Semi-copulas, capacities and families of level sets , 2010, Fuzzy Sets Syst..

[17]  Gleb Beliakov,et al.  On migrative means and copulas , 2009 .

[18]  R. Mesiar,et al.  Aggregation Functions (Encyclopedia of Mathematics and its Applications) , 2009 .

[19]  R. Nelsen An Introduction to Copulas (Springer Series in Statistics) , 2006 .

[20]  Humberto Bustince,et al.  On the alpha-migrativity of semicopulas, quasi-copulas, and copulas , 2010, Inf. Sci..

[21]  Fabrizio Durante,et al.  On a family of multivariate copulas for aggregation processes , 2007, Inf. Sci..

[22]  Radko Mesiar,et al.  2-Increasing binary aggregation operators , 2007, Inf. Sci..