New copulas, based on perturbation theory, are introduced to clarify a \emph{symmetrization} procedure for asymmetric copulas. We give also some properties of the \emph{symmetrized} copula. Finally, we examine families of copulas with a prescribed symmetrized one. By the way, we study topologically, the set of all symmetric copulas and give some of its classical and new properties.

翻译：基于扰动理论的新阳极被引入以澄清非对称阳极的 \ emph{ ymmmlization} 程序。 我们还给出了 \ emph{ ymmmlizized} copula 的一些特性。 最后, 我们用一个指定的对称性来检查阴极的家族。 顺便说一句, 我们从地形学的角度来研究这组对称性相交合体, 并给出了它的一些经典和新特性 。