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Keywords:
$n$-copulas; modular functions; rectangular patchwork
$n$-copulas; modular functions; rectangular patchwork
Summary:
In this paper we give an alternative proof of the construction of $n$-dimensional ordinal sums given in Mesiar and Sempi [17], we also provide a new methodology to construct $n$-copulas extending the patchwork methodology of Durante, Saminger-Platz and Sarkoci in [6] and [7]. Finally, we use the gluing method of Siburg and Stoimenov [20] and its generalization in Mesiar et al. [15] to give an alternative method of patchwork construction of $n$-copulas, which can be also used in composition with our patchwork method.
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