On the α-migrativity of semicopulas, quasi-copulas, and copulas

Authors:
R. Mesiar;H. Bustince;J. Fernandez
Affiliations:
Department of Mathematics and Descriptive Geometry, Slovak University of Technology, SK-813 68 Bratislava, Slovakia and Institute of Information Theory and Automation, Czech Academy of Sciences, C ...;Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia s/n, P.O. Box 31006, Pamplona, Spain;Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia s/n, P.O. Box 31006, Pamplona, Spain
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

In this paper we address the problem of @a-migrativity (for a fixed @a) for semicopulas, copulas and quasi-copulas. We introduce the concept of an @a-sum of semicopulas. This new concept allows us to completely characterize @a-migrative semicopulas and copulas. Moreover, @a-sums also provide a means to obtain a partial characterization of @a-migrative quasi-copulas.