On the interrelation between DempsterShafer Belief Structures and their Belief Cumulative Distribution Functions
We consider DempsterShafer belief structures (DSBSs) m 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 .
dempstershafer belief structure belief cumulative distribution function random set interval data probability measure