On transformations of belief functions to probabilities

Abstract

Alternative approaches to the widely known pignistic transformation of belief functions are presented and analyzed. Pignistic, cautious, proportional, and disjunctive probabilistic transformations are examined from the point of view of their interpretation, of decision making and (from the point of view) of their commutation with rules (operators) for belief function combination. A relation to the plausibility probabilistic transformation is added. © 2006 Wiley Periodicals, Inc. Int J Int Syst 21: 261–282, 2006.