Short Communication: A note on metrics induced by copulas

  • Authors:

  • Yao Ouyang

  • Affiliations:

  • Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2012

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Abstract

In this short note, we provide a continuous triangular norm that is not a copula and that generates a metric. Thus, the 9th open problem collected in Alsina et al. [Associative Functions: Triangular Norms and Copulas, World Scientific Publishing Company, Singapore, 2006] has a negative answer.