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A Possibility Theory-Based Approach to the Handling of Uncertain Relations between Temporal Points

Didier Dubois 1 Allel Hadj Ali 2 Henri Prade 1 
1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
IRIT - Institut de recherche en informatique de Toulouse
2 PILGRIM - Gradedness, Imprecision, and Mediation in Database Management Systems
IRISA-D7 - GESTION DES DONNÉES ET DE LA CONNAISSANCE
Abstract : Uncertain relations between temporal points are represented by means of possibility distributions over the three basic relations precedes, equals, and follows. Operations for computing inverse relation, for composing relations, for combining relations coming from different sources and pertaining to the same temporal points, or for representing negative information are defined. An illustrative example of representation and reasoning with uncertain temporal relations is provided. This article shows how possibilistic temporal uncertainty can be handled in the setting of point algebra. Moreover, the article emphasizes the advantages of the possibilistic approach over a probabilistic approach previously proposed. This work does for the temporal point algebra what the authors previously did for the temporal interval algebra.
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Didier Dubois, Allel Hadj Ali, Henri Prade. A Possibility Theory-Based Approach to the Handling of Uncertain Relations between Temporal Points. International Journal of Intelligent Systems, Wiley, 2007, 22, pp.157-179. ⟨10.1002/int.20193⟩. ⟨hal-03358851⟩

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