Paper:

# 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

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.

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.10, No.4, pp. 522-526, 2006.

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