Belief functions contextual discounting and canonical decompositions

Authors:
David Mercier;Éric Lefèvre;François Delmotte
Affiliations:
Univ. Lille Nord de France, F-59000 Lille, France and UArtois, LGI2A, F-62400 Béthune, France;Univ. Lille Nord de France, F-59000 Lille, France and UArtois, LGI2A, F-62400 Béthune, France;Univ. Lille Nord de France, F-59000 Lille, France and UArtois, LGI2A, F-62400 Béthune, France
Venue:
International Journal of Approximate Reasoning
Year:
2012

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Abstract

In this article, the contextual discounting of a belief function, a classical discounting generalization, is extended and its particular link with the canonical disjunctive decomposition is highlighted. A general family of correction mechanisms allowing one to weaken the information provided by a source is then introduced, as well as the dual of this family allowing one to strengthen a belief function.