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AMAI
2010
Springer
13 years 1 months ago
Geometry of relative plausibility and relative belief of singletons
The study of the interplay between belief and probability can be posed in a geometric framework, in which belief and plausibility functions are represented as points of simplices i...
Fabio Cuzzolin
ISIPTA
2003
IEEE
13 years 9 months ago
Geometry of Upper Probabilities
In this paper we adopt the geometric approach to the theory of evidence to study the geometric counterparts of the plausibility functions, or upper probabilities. The computation ...
Fabio Cuzzolin
TSMC
2010
12 years 11 months ago
Credal Semantics of Bayesian Transformations in Terms of Probability Intervals
In this paper we propose a credal representation of the interval probability associated with a belief function (b.f.), and show how it relates to several classical Bayesian transfo...
Fabio Cuzzolin
AI
2010
Springer
13 years 4 months ago
Double preference relations for generalised belief change
Many belief change formalisms employ plausibility orderings over the set of possible worlds to determine how the beliefs of an agent ought to be modified after the receipt of a ne...
Richard Booth, Samir Chopra, Thomas Meyer, Aditya ...
IDA
2010
Springer
13 years 3 months ago
Three alternative combinatorial formulations of the theory of evidence
In this paper we introduce three alternative combinatorial formulations of the theory of evidence (ToE), by proving that both plausibility and commonality functions share the stru...
Fabio Cuzzolin