On the interrelation between Dempster-Shafer belief structures and their belief cumulative distribution functions
Fernández Sánchez, J
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We consider Dempster–Shafer belief structures (DSBSs) mm 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)=(F̲(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.