Asymmetric semilinear copulas

Bernard De Baets; Hans De Meyer; Radko Mesiar

Displaying similar documents to “Asymmetric semilinear copulas”

Remarks on Two Product-like Constructions for Copulas

Fabrizio Durante, Erich Peter Klement, José Quesada-Molina, Peter Sarkoci (2007)

Kybernetika

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We investigate two constructions that, starting with two bivariate copulas, give rise to a new bivariate and trivariate copula, respectively. In particular, these constructions are generalizations of the $*$ -product and the $☆$ -product for copulas introduced by Darsow, Nguyen and Olsen in 1992. Some properties of these constructions are studied, especially their relationships with ordinal sums and shuffles of Min.

A new family of trivariate proper quasi-copulas

Manuel Úbeda-Flores (2007)

Kybernetika

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In this paper, we provide a new family of trivariate proper quasi-copulas. As an application, we show that $W^{3}$ – the best-possible lower bound for the set of trivariate quasi-copulas (and copulas) – is the limit member of this family, showing how the mass of $W^{3}$ is distributed on the plane $x + y + z = 2$ of ${[0, 1]}^{3}$ in an easy manner, and providing the generalization of this result to $n$ dimensions.

Distributivity of strong implications over conjunctive and disjunctive uninorms

Daniel Ruiz-Aguilera, Joan Torrens (2006)

Kybernetika

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This paper deals with implications defined from disjunctive uninorms $U$ by the expression $I (x, y) = U (N (x), y)$ where $N$ is a strong negation. The main goal is to solve the functional equation derived from the distributivity condition of these implications over conjunctive and disjunctive uninorms. Special cases are considered when the conjunctive and disjunctive uninorm are a $t$ -norm or a $t$ -conorm respectively. The obtained results show a lot of new solutions generalyzing those obtained in previous works...

On the structure of continuous uninorms

Paweł Drygaś (2007)

Kybernetika

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Uninorms were introduced by Yager and Rybalov [13] as a generalization of triangular norms and conorms. We ask about properties of increasing, associative, continuous binary operation $U$ in the unit interval with the neutral element $e \in [0, 1]$ . If operation $U$ is continuous, then $e = 0$ or $e = 1$ . So, we consider operations which are continuous in the open unit square. As a result every associative, increasing binary operation with the neutral element $e \in (0, 1)$ , which is continuous in the open unit square may be...