Some Fubini Theorems on product σ-algebras for non-additive measures

  • Authors:

  • Alain Chateauneuf;Jean-Philippe Lefort

  • Affiliations:

  • CES, Cermsem Université de Paris 1, Maison des Sci. Economiques, 106-112 Bd de l'Hospital, 75647 Paris Cedex 13, France;CES, Cermsem Université de Paris 1, Maison des Sci. Economiques, 106-112 Bd de l'Hospital, 75647 Paris Cedex 13, France

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2008

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Abstract

Since the seminal paper of Ghirardato, it is known that Fubini Theorem for non-additive measures can be available only for functions defined as ''slice-comonotonic''. We give different assumptions that provide such Fubini Theorems in the framework of product @s-algebras.