On Latent Belief Structures

Authors:
Frédéric Pichon;Thierry Denoeux
Affiliations:
UMR CNRS 6599 Heudiasyc, Université de Technologie de Compiégne, Compiégne Cedex, France F-60205 and Thales Research and Technology, Palaiseau cedex, France F-91767;UMR CNRS 6599 Heudiasyc, Université de Technologie de Compiégne, Compiégne Cedex, France F-60205
Venue:
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Year:
2007

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Abstract

Based on the canonical decomposition of belief functions, Smets introduced the concept of a latent belief structure (LBS). This concept is revisited in this article. The study of the combination of LBSs allows us to propose a less committed version of Dempster's rule, resulting in a commutative, associative and idempotent rule of combination for LBSs. This latter property makes it suitable to combine non distinct bodies of evidence. A sound method based on the plausibility transformation is also given to infer decisions from LBSs. In addition, an extension of the new rule is proposed so that it may be used to optimize the combination of imperfect information with respect to the decisions inferred.