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On transformations of belief functions to probabilities

International Journal of Intelligent Systems, 2006
Summary: 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 ...
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On Decombination of Belief Function

2019 22th International Conference on Information Fusion (FUSION), 2019
Deqiang Han, Yi Yang 0008, Jean Dezert
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Probability of deductibility and belief functions

2005
We present an interpretation of Dempster-Shafer theory based on the probability of deducibility. We present two forms of revision (conditioning) that lead to the geometrical rule of conditioning and to Dempster rule of conditioning, respectively.
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An improvement decision-making method by similarity and belief function theory

Communications in Statistics - Theory and Methods, 2023
Mehran Khalaj, Fereshteh Khalaj
exaly  

Making inferences in incomplete Bayesian networks: A Dempster-Shafer belief function approach

International Journal of Approximate Reasoning, 2023
Prakash P Shenoy
exaly  

Belief functions with nonstandard values

1997
The notions of basic probability assignment and belief function, playing the basic role in the Dempster-Shafer model of uncertainty quantification and processing often called Dempster-Shafer theory, are generalized in such a way that their values are not numbers from the unit interval of reals, but rather infinite sequences of real numbers including ...
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Propagation of Gaussian belief functions

1996
A Gaussian belief function (GBF) can be intuitively described as a Gaussian distribution over a hyperplane, whose parallel sub-hyperplanes are the focal elements. It includes as special cases non-probabilistic linear equations, statistical observations, multivariate Gaussian distributions, and vacuous belief functions.
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An improved multisource data fusion method based on a novel divergence measure of belief function

Engineering Applications of Artificial Intelligence, 2022
Boxun Liu, Yong Deng, Kang Hao Cheong
exaly  

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