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Communication Dans Un Congrès Année : 2013

Inclusion/exclusion principle for belief functions

Résumé

The inclusion-exclusion principle is a well-known property of set and probability theories, that is instrumental to solve some problems such as the evaluation of systems reliability or of uncertainty over Boolean formulas. However, when using models that mixes sets and probabilities, this principle does not longer hold in general. It is therefore useful to know in which cases it continues to hold. This paper investigates this question when the models of uncertainty are belief functions. After exhibiting sufficient and necessary conditions for the principle to hold, we illustrate its use on some applications, i.e. reliability analysis and uncertainty over Boolean formulas.
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Dates et versions

hal-00861993 , version 1 (16-09-2013)

Identifiants

  • HAL Id : hal-00861993 , version 1

Citer

Felipe Aguirre, Christelle Jacob, Sébastien Destercke, Didier Dubois, Mohamed Sallak. Inclusion/exclusion principle for belief functions. Eighth International Symposium on Imprecise Probability: Theories and Applications, Jul 2013, Compiègne, France. pp.3-13. ⟨hal-00861993⟩
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