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Communication Dans Un Congrès Année : 2013

Extreme Points of the Credal Sets Generated by Elementary Comparative Probabilities

Résumé

When using convex probability sets (or, equivalently, lower previsions) as models of uncertainty, identifying extreme points can be useful to perform various computations or to use some algorithms. In general, sets induced by specific models such as possibility distributions, linear vacuous mixtures or 2-monotone measures may have extreme points easier to compute than generic convex sets. In this paper, we study extreme points of another specific model: comparative probability orderings between the elements of a finite space. We use these extreme points to study the properties of the lower probability induced by this set, and connect comparative probabilities with other uncertainty models.
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Dates et versions

hal-00861991 , version 1 (14-09-2013)

Identifiants

  • HAL Id : hal-00861991 , version 1

Citer

Enrique Miranda, Sébastien Destercke. Extreme Points of the Credal Sets Generated by Elementary Comparative Probabilities. Proceedings of ECSQARU 2013, Jul 2013, Utrecht, Netherlands. pp.424-435. ⟨hal-00861991⟩
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