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Independence and Possibilistic Conditioning

  • Bernadette Bouchon-Meunier
  • Giulianella Coletti
  • Christophe Marsala
Article

Abstract

There is not a unique definition of a conditional possibility distribution since the concept of conditioning is complex and many papers have been conducted to define conditioning in a possibilistic framework. In most cases, independence has been also defined and studied by means of a kind of analogy with the probabilistic case. In [2,4], we introduce conditional possibility as a primitive concept by means of a function whose domain is a set of conditional events. In this paper, we define a concept of independence associated with this form of conditional possibility and we show that classical properties required for independence concepts are satisfied.

conditional event conditional possibility independence 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Bernadette Bouchon-Meunier
    • 1
  • Giulianella Coletti
    • 2
  • Christophe Marsala
    • 1
  1. 1.LIP6, Pôle IAUniversité Paris VIParisFrance
  2. 2.Dipartimento di MatematicaUniversità di PerugiaPerugiaItaly

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