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首页> 外文期刊>Journal of Applied Logic >Borderlines and probabilities of borderlines: On the interconnection between vagueness and uncertainty
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Borderlines and probabilities of borderlines: On the interconnection between vagueness and uncertainty

机译：边界线和边界线的可能性：模糊性和不确定性之间的相互关系

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摘要

We describe an integrated approach to vagueness and uncertainty within a propositional logic setting and based on a combination of three valued logic and probability. Three valued valuations are employed in order to model explicitly borderline cases and in this context we give an axiomatic characterisation of two well known three valued models; supervaluations and Kleene valuations. We then demonstrate the close relationship between Kleene valuations and a sub-class of supervaluations. Belief pairs are lower and upper measures on the sentences of the language generated from a probability distribution defined over a finite set of three valued valuations. We describe links between these measures and other uncertainty theories and we show the close relationship between Kleene belief pairs and a subclass of supervaluation belief pairs. Finally, a probabilistic approach to conditioning is explored within this framework. (C) 2015 Elsevier B.V. All rights reserved.
机译：我们描述了命题逻辑设置中基于模糊性和不确定性的综合方法，并基于三值逻辑和概率的组合。为了明确地对边界案件建模，采用了三值估值法，在这种情况下，我们对两个众所周知的三值模型进行公理化描述。估值和Kleene估值。然后，我们证明了Kleene估值与超值子类别之间的密切关系。信念对是语言句子上的上，下量度，这些量度是根据在三个有价评估的有限集上定义的概率分布生成的。我们描述了这些测度与其他不确定性理论之间的联系，并展示了Kleene信念对与超值信念对的子类之间的密切关系。最后，在此框架内探索了一种概率性的调节方法。 （C）2015 Elsevier B.V.保留所有权利。

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