Continuous belief functions: singletons plausibility function in conjunctive and disjunctive combination operations of consonant bbds.

Jean-Marc Vannobel (1)

1 LAGIS-SI

We propose in this paper to reconstruct the plausibility function curve in combination operations on continuous consonant basic belief densities (bbd). First are presented properties of nested focal elements that lead to a set based graphical representation of focal sets. Examples of belief functions for classical pdfs precedes then a proposal of simplification of the plausibility formulation. This is done for singletons in conjunctive and disjunctive combination operations with help of the focal elements properties. Conflict existing between information sources is then evoked with at last some tracks to follow for conflict management.

Domaines: Automatique / Robotique

Jean-Marc Vannobel. Continuous belief functions: singletons plausibility function in conjunctive and disjunctive combination operations of consonant bbds.. BELIEF 2010: Workshop on the Theory of Belief Functions, Mar 2010, BREST, France. 6 p. ⟨hal-00805110⟩