Generalizations of the relative belief transform

Fabio Cuzzolin,
Proceedings of the 2nd International Conference on Belief Functions (BELIEF'12), Compiegne, France, May 2012


Probability transformation of belief functions can be classified into different families, according to the operator they commute with. In particular, as they commute with Dempster's rule, relative plausibility and belief transforms form one such "epistemic" family, and possess natural rationales within Shafer's formulation of the theory of evidence. However, the relative belief transform only exists when some mass is assigned to singletons. We show here that relative belief is only a member of a class of "relative mass" mappings, which can be interpreted as low-cost proxies for both plausibility and pignistic transforms.

BibTeX entry

  AUTHOR = "Fabio Cuzzolin", 
  TITLE = "Generalizations of the relative belief transform",
  JOURNAL = "Proceedings of BELIEF 2012", 
  YEAR = "2012"