arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1304.1502cs.AI
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可能性理论框架下不确定性推理的正反两种解释

Positive and Negative Explanations of Uncertain Reasoning in the Framework of Possibility Theory

Universite Paul Sabatier(保罗·萨巴蒂埃大学)

Henri Farrency, Henri Prade

摘要:

本文提出了一种开发基于规则的专家系统管理不精确和不确定知识的解释能力的方法。不确定性的处理发生在可能性理论的框架中,其中关于逻辑或数值变量的值的可用信息由限制其或多或少可能值的可能性分布表示。我们首先讨论不同类型的查询,然后集中在以下两种类型:i)如何获得特定的可能性分布(仅强调主要原因); ii)为什么在计算的可能性分布中,特定值的可能性程度如此之高,如此之低或与预期相反。该方法是基于最大-最小代数方程的开发。这种形式主义包括某些和精确信息的极限情况。

英文摘要:

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the available information concerning the value of a logical or numerical variable is represented by a possibility distribution which restricts its more or less possible values. We first discuss different kinds of queries asking for explanations before focusing on the two following types : i) how, a particular possibility distribution is obtained (emphasizing the main reasons only) ; ii) why in a computed possibility distribution, a particular value has received a possibility degree which is so high, so low or so contrary to the expectation. The approach is based on the exploitation of equations in max-min algebra. This formalism includes the limit case of certain and precise information.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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