Kalman-like filtering and updating in a possibilistic setting

Salem Benferhat (1) , Didier Dubois (1, 2) , Henri Prade (1, 2)

1 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
2 CNRS - Centre National de la Recherche Scientifique

This paper proposes a qualitative counterpart of Kalman filtering in the possibilistic logic setting. It corresponds to a type of updating involving a prediction step followed by a revision step. This is compared with updating operations based on imaging in the sense of Lewis. Imaging is reconsidered in the perspective of a generalized view of Kalman filtering where it appears as a particular case of Kalman filtering. A syntactic counterpart of qualitative filtering is given in terms of weighted knowledge bases.

Domains: Artificial Intelligence [cs.AI]

Salem Benferhat, Didier Dubois, Henri Prade. Kalman-like filtering and updating in a possibilistic setting. 14th European Conference on Artificial Intelligence (ECAI 2000), Aug 2000, Berlin, Germany. pp.8-12. ⟨hal-03299818⟩