Ordinal sums and idempotents of copulas View Full Text


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Article Info

DATE

2010-03

AUTHORS

Radko Mesiar, Carlo Sempi

ABSTRACT

We prove that the ordinal sum of n-copulas is always an n-copula and show that every copula may be represented as an ordinal sum, once the set of its idempotents is known. In particular, it will be shown that every copula can be expressed as the ordinal sum of copulas having only trivial idempotents. As a by-product, we also characterize all associative copulas whose n-ary forms are n-copulas for all n. More... »

PAGES

39-52

References to SciGraph publications

  • 2000. Triangular Norms in NONE
  • 1974-06. A probabilistic interpretation of complete monotonicity in AEQUATIONES MATHEMATICAE
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    http://scigraph.springernature.com/pub.10.1007/s00010-010-0013-6

    DOI

    http://dx.doi.org/10.1007/s00010-010-0013-6

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