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JACIII Vol.10 No.4 pp. 522-526
doi: 10.20965/jaciii.2006.p0522
(2006)

Paper:

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Two-Dimensional Copulas as Important Binary Aggregation Operators

Endre Pap*, and Marta Takács**

*Department of Mathematics and Informatics, Faculty of Natural Sciences and Mathematics in Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia and Montenegro

**Budapest Tech, John von Neumann Faculty of Informatics, H-1034 Budapest, Bécsi út 96.b, Hungary

Received:
September 11, 2005
Accepted:
January 23, 2006
Published:
July 20, 2006
Creative Commons License
Keywords:
copula, aggregation operator, fuzzy measure, transformation of copula, maximum attractor
Abstract
We introduce 2-copulas (copulas, shortly) and recent related research results. We present invariant copulas and their application in the theory of aggregation operators. Copulas are transformed by increasing bijections at the unit interval and discuss copula attractors. We also present results on the approximation of associative copulas by strict and nilpotent triangular norms.
Cite this article as:
E. Pap and M. Takács, “Two-Dimensional Copulas as Important Binary Aggregation Operators,” J. Adv. Comput. Intell. Intell. Inform., Vol.10 No.4, pp. 522-526, 2006.
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