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Titlebook: Soft Methods for Handling Variability and Imprecision; Didier Dubois,M. Asunción Lubiano,Olgierd Hryniewi Conference proceedings 2008 Spri

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楼主: Kennedy
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Fuzzy Probabilities Based on the Likelihood Function hierarchical description of uncertain knowledge, offering a unified approach to the combination of probabilistic and possibilistic uncertainty. The fundamental advantage of the resulting fuzzy probabilities with respect to imprecise probabilities is the ability of using all the information provided
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Relating Epistemic Irrelevance to Event Treeslar, we show that . is equivalent to event-tree independence in particular event trees, suitably generalised to allow for the fact that imprecise rather than precise probability models are attached to the nodes in the tree. This allows us to argue that in a theory of uncertain processes, the asymmet
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Probability Revision, the Uniformity Rule, and the Chan–Darwiche Metricg this rule ensures that the final result of a sequence of probability revisions is undisturbed by an alteration in the temporal order of the learning prompting these revisions. There is also a close connection between this rule and an intriguing metric on probability measures introduced by Chan and
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Fuzzy Bayesian Inferenceeneralized to fuzzy data..Another kind of fuzziness is the fuzziness of a-priori information in Bayesian inference. It is possible to apply so-called fuzzy probability distributions as a-priori distributions. The corresponding generalization of Bayes’ theorem is basic for what is called fuzzy Bayesian inference.
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Relating Prototype Theory and Label Semanticslement . is sufficiently close to the prototype .. of a label .. for .. to be deemed appropriate to describe ., if the distance between . and .. is less than or equal to .. Appropriateness measures and mass functions are then defined in terms of an underlying probability density function . on ..
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Soft Methods for Treating Uncertainties: Applications in the Field of Environmental Riskslike to work with multiple indicators, i.e. upper and lower bounds on the probability of exceeding a certain risk threshold. A way to avoid this difficulty is proposed, based on a weighted average of optimistic and pessimistic bounds on risk focal elements.
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