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Journal Articles International Journal of Approximate Reasoning Year : 2011

Change rules for hierarchical beliefs


The paper builds a belief hierarchy as a framework common to all uncertainty measures expressing that an actor is ambiguous about his uncertain beliefs. The belief hierarchy is further interpreted by distinguishing physical and psychical worlds, associated to objective and subjective probabilities. Various rules of transformation of a belief hierarchy are introduced, especially changing subjective beliefs into objective ones. These principles are applied in order to relate different contexts of belief change, revising, updating and even focusing. The numerous belief change rules already proposed in the literature receive epistemic justifications by associating them to specific belief hierarchies and change contexts. As a result, it is shown that the resiliency of probability judgments may have some limits and be reconciled with the possibility of learning from factual messages.

Dates and versions

halshs-00754559 , version 1 (20-11-2012)



Bernard Walliser, Denis Zwirn. Change rules for hierarchical beliefs. International Journal of Approximate Reasoning, 2011, 52 (2), pp.166-183. ⟨10.1016/j.ijar.2009.11.005⟩. ⟨halshs-00754559⟩
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