On the interrelation between Dempster-Shafer Belief Structures and their Belief Cumulative Distribution Functions

Authors:
Fabrizio Durante;Juan Fernández Sánchez;Wolfgang Trutschnig
Affiliations:
-;-;-
Venue:
Knowledge-Based Systems
Year:
2013

Citing 3
Cited 0

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Cumulative distribution functions from Dempster-Shafer belief structures

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Abstract

We consider Dempster-Shafer belief structures (DSBSs) m having finitely many non-empty compact intervals as focal elements and prove several results describing the interrelation between DSBSs and their so-called Belief Cumulative Distribution Functions (BCDFs) x@?F(x)=(F@?(x),F@?(x)) induced by the corresponding belief and plausibility measures. In particular, we answer a question by Ronald R. Yager on the injectivity of the assignment m@?F.