Kernel aggregation operators and their marginals

  title={Kernel aggregation operators and their marginals},
  author={Anna Koles{\'a}rov{\'a} and Juliana Mordelov{\'a} and E. Muel},
  journal={Fuzzy Sets and Systems},
Binary kernel aggregation operators, that is, monotone binary operators on [0; 1] with the Chebyshev norm equal to 1 are studied. Marginal functions of such operators are shown to be 1-Lipschitz. Several constructions of kernel aggregation operators with 3xed marginal functions are given, including maximal and minimal kernel aggregation operators with prescribed marginals. Finally, kernel aggregation operators uniquely determined by their marginals are characterized. c © 2003 Elsevier B.V. All… CONTINUE READING

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Showing 1-10 of 13 references

Kernel aggregation operators

J. Mordelov a, E. Muel
Proc. AGOP’ • 2001
View 1 Excerpt
Highly Influenced

arov% a, J. Mordelov% a, 1-Lipschitz and kernel aggregation operators

A. Koles
Proc. AGOP’ • 2001
View 3 Excerpts
Highly Influenced


T. Calvo
Koles% arov% a, M. Komorn%Okov% a, R. Mesiar, Aggregation operators: properties, classes and construction methods, in: T. Calvo, R. Mesiar, G. Mayor (Eds.), Aggregation Operators. New Trends and Applications, Physica- Verlag, Heidelberg • 2002

arov% a, MS obius 3tting aggregation operators, Kybernetika

A. Koles
View 1 Excerpt

Stability of aggregation operators

EUSFLAT Conf. • 2001
View 2 Excerpts

Koles % arov % a , MSobius 3 tting aggregation operators

G. Mayor, J. Torrens
Kybernetika • 2000

An Introduction to Copulas

R. B. Nelsen
in: Lecture Notes in Statistics, Vol. 139, Springer, Berlin • 1999
View 1 Excerpt

Rodr%Oguez Lallena, C. Sempi, A characterization of quasi-copulas

C. Genest, J.A.J.J. Quesada Molina
J. Multivariate Anal • 1999
View 1 Excerpt