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arXiv 1302.3575cs.AI
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可能性情境下不确定输入下的信念修正

Belief Revision with Uncertain Inputs in the Possibilistic Setting

Institut de Recherche en Informatique de Toulouse (IRIT) - CNRS(图卢兹计算机科学研究所(IRIT)- 法国国家科学研究中心);Universite Paul Sabatier(保罗·萨巴蒂埃大学)

Didier Dubois, Henri Prade

摘要:

本文在可能性理论的框架下讨论了不确定输入下的信念修正问题。修正可以基于条件运算的两种可能的定义,一种基于min算子,其仅需要纯序标度,另一种基于乘积,其需要更丰富的结构,并且其是Dempster条件规则的特定情况。此外,在不确定输入下的修订可以以两种不同的方式来理解,这取决于输入是否被视为要强制执行的约束。此外,它表明,M.A.威廉姆斯的嬗变,最初定义在设置的Spohn的功能,可以捕捉在这个框架,以及Boutilier的自然修订。

英文摘要:

This paper discusses belief revision under uncertain inputs in the framework of possibility theory. Revision can be based on two possible definitions of the conditioning operation, one based on min operator which requires a purely ordinal scale only, and another based on product, for which a richer structure is needed, and which is a particular case of Dempster's rule of conditioning. Besides, revision under uncertain inputs can be understood in two different ways depending on whether the input is viewed, or not, as a constraint to enforce. Moreover, it is shown that M.A. Williams' transmutations, originally defined in the setting of Spohn's functions, can be captured in this framework, as well as Boutilier's natural revision.

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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