On transformations of belief functions to probabilities

Milan Daniel

38 citations0/0 files storedInternational Journal of Intelligent Systems

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Multi-Criteria Decision Making Bayesian Modeling and Causal Inference Rough Sets and Fuzzy Logic

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.

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2004Decision making in the TBM: the necessity of the pignistic transformation 1990Constructing the Pignistic Probability Function in a Context of Uncertainty 1990Consonant approximations of belief functions 2002The consensus operator for combining beliefs 1989A computationally efficient approximation of Dempster-Shafer theory 2002Decision Making in a Context where Uncertainty is Represented by Belief Functions 2003A Comparison of Methods for Transforming Belief Function Models to Probability Models 2003Associativity in combination of belief functions; a derivation of minC combination

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