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Titlebook: Belief Functions: Theory and Applications; Proceedings of the 2 Thierry Denoeux,Marie-Hélène Masson Conference proceedings 2012 Springer-Ve

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https://doi.org/10.1007/978-981-99-2489-9The first section revisits some well-known definitions with an algorithmic point of vue. The second section proposes a matrix way of building the least committed isopignistic, and extends it to some other bodies of evidence. The third section adapts the .-means algorithm for an unsupervized clustering of the focal elements of a given bba.
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Game-Theoretical Semantics of Epistemic Probability Transformations,hin Shafer’s formulation of the theory of evidence, while they are not consistent with the credal or probability-bound semantic of belief functions. We prove here, however, that these transforms can be given in this latter case an interesting rationale in terms of optimal strategies in a non-cooperative game.
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Generalizations of the Relative Belief Transform,hin 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 lowcost proxies for both plausibility and pignistic transforms.
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About Conflict in the Theory of Belief Functions,. Some measures of conflict have been proposed, we recall some of them and we show some counter-intuitive examples with these measures. Therefore we define a conflict measure based on expected properties. This conflict measure is build from the distance-based conflict measure weighted by a degree of inclusion introduced in this paper.
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