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arXiv 1302.6803cs.AI
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独立性的序观及其在合情推理中的应用

An Ordinal View of Independence with Application to Plausible Reasoning

Institut de Recherche en Informatique de Toulouse(图卢兹计算机科学研究所);C.N.R.S.(法国国家科学研究中心);Universite Paul Sabatier(保尔·萨巴蒂埃大学)

Didier Dubois, Luis Farinas del Cerro, Andreas Herzig, Henri Prade

摘要:

在可能性理论的框架下研究了独立性的序观。我们研究了三种可能的定义的依赖,增加的力量。其中之一是对应于概率论中的乘法定律,另外两个是基于条件可能性的概念。这两种可能性理论都有足够的表达能力来支持整个可能性理论,并为最强的一种可能性理论提供了一个完整的公理化。此外,我们表明,弱独立性是非常适合的问题的信念变化和合理的推理,特别是解决问题的阻塞的财产继承异常容忍分类推理。

英文摘要:

An ordinal view of independence is studied in the framework of possibility theory. We investigate three possible definitions of dependence, of increasing strength. One of them is the counterpart to the multiplication law in probability theory, and the two others are based on the notion of conditional possibility. These two have enough expressive power to support the whole possibility theory, and a complete axiomatization is provided for the strongest one. Moreover we show that weak independence is well-suited to the problems of belief change and plausible reasoning, especially to address the problem of blocking of property inheritance in exception-tolerant taxonomic reasoning.

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