Quasi-copulas and signed measures

نویسندگان

  • Roger B. Nelsen
  • José Juan Quesada-Molina
  • José Antonio Rodríguez-Lallena
  • Manuel Úbeda-Flores
چکیده

We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [0, 1]n . We first study the mass distribution of the pointwise best possible lower bound for the set of n-quasi-copulas for n ≥ 3. As a consequence, we show that not every n-quasi-copula induces a signed measure on [0, 1]n . © 2010 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 161  شماره 

صفحات  -

تاریخ انتشار 2010