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Practical Methods for Constructing Possibility Distributions

Didier Dubois 1 Henri Prade 1
1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
IRIT - Institut de recherche en informatique de Toulouse
Abstract : This survey paper provides an overview of existing methods for building possibility distributions. We both consider the case of qualitative possibility theory, where the scale remains ordinal, and the case of quantitative possibility theory, where the scale is the real interval [0, 1]. Methods may be order-based or similarity-based for qualitative possibility distributions, whereas statistical methods apply in the quantitative case and then possibilities encode nested random epistemic sets or upper bounds of probabilities. But distance-based approaches, or expert estimates, may be also exploited in the quantitative case.
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Didier Dubois, Henri Prade. Practical Methods for Constructing Possibility Distributions. International Journal of Intelligent Systems, Wiley, 2015, vol. 31 (n° 3), pp. 215-239. ⟨10.1002/int.21782⟩. ⟨hal-01538306⟩

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