Title
On the interrelation between Dempster-Shafer Belief Structures and their Belief Cumulative Distribution Functions
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.
Year
DOI
Venue
2013
10.1016/j.knosys.2013.07.012
Knowl.-Based Syst.
Keywords
Field
DocType
non-empty compact interval,plausibility measure,dempster-shafer belief structure,corresponding belief,so-called belief cumulative distribution,focal element,ronald r,belief cumulative distribution functions,assignment m,dempster-shafer belief structures,probability measure
Discrete mathematics,Computer science,Probability measure,Cumulative distribution function,Artificial intelligence,Dempster–Shafer theory,Interval data,Machine learning
Journal
Volume
ISSN
Citations 
52,
0950-7051
2
PageRank 
References 
Authors
0.36
3
3
Name
Order
Citations
PageRank
Fabrizio Durante139159.28
Juan Fernández-Sánchez28815.63
Wolfgang Trutschnig310410.91