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Some results on a transformation of copulas and quasi-copulas

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Ubeda Flores
exaly   +4 more sources

OPPOSITE DIAGONAL SECTIONS OF QUASI-COPULAS AND COPULAS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2009
In this paper, we study opposite diagonal sections of quasi-copulas and copulas. The best-possible upper bound for the set of copulas with a given opposite diagonal section being known, we focus on the best-possible lower bound, which in general is a quasi-copula. Moreover, it exhibits an interesting type of bivariate symmetry called opposite symmetry.
Bernard De Baets   +2 more
openaire   +1 more source

Quasi-Copulas on Discrete Scales

2006
In the paper the structure of quasi-copulas on discrete scales is studied. A special attention is given to the study of quasi-copulas with diagonal section. The cardinality of the set of quasi-copulas on L (n) determined univocally by the corresponding diagonal section is shown to be the Fibonacci number p n.
openaire   +2 more sources

Some results on the convergence of (quasi-) copulas

Fuzzy Sets and Systems, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

On the degree of asymmetry of a quasi-copula with respect to a curve

Fuzzy Sets and Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard De Baets   +2 more
openaire   +2 more sources

On Quasi-Copulas and Metrics

2002
Abstract We review the notion of a quasi-copula and using quasi-copulas we induce in [0,1] some large families of metrics which show to have some interesting probabilistic interpretations.
openaire   +1 more source

Transformations of Copulas and Quasi-Copulas

2004
Transformations of aggregation operators preserving the class of copulas and quasi-copulas, respectively, are shown to be concave automorphisms of the unit interval. Attractors of copulas are discussed, special attention being paid to power transformations and the relationship between the corresponding attractors and the so-called maximum attractor ...
Erich Peter Klement   +2 more
openaire   +1 more source

Bivariate quasi-copulas and doubly stochastic signed measures

Fuzzy Sets and Systems, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Ubeda Flores   +2 more
exaly   +3 more sources

Multivariate Archimedean Quasi-Copulas

2002
Abstract In this paper we define and study basic properties of multivariate Archimedean quasi-copulas. In particular, we examine properties concerning generators, diagonal sections, permutation symmetry, level sets and order.
Roger B. Nelsen   +3 more
openaire   +1 more source

ON THE CLASSES OF COPULAS AND QUASI-COPULAS WITH A GIVEN DIAGONAL SECTION

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011
Let [Formula: see text] and [Formula: see text] be, respectively, the classes of all copulas and quasi-copulas whose diagonal section is δ. We determine under which conditions on δ we have: (a) both [Formula: see text] and [Formula: see text] consist of a singleton; (b) [Formula: see text]. Moreover, a simple construction of copulas with a given convex
Fabrizio Durante   +1 more
openaire   +3 more sources

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