Belief Revision and Updates in Numerical Formalisms: An Overview, with new Results for the Possibilistic Framework

Belief Revision and Updates in Numerical Formalisms: An Overview, with new Results for the Possibilistic Framework
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数值形式主义的信念修正和更新:概述,以及可能性框架的新结果

DOI:
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发表时间:
1993
期刊:
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影响因子:
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通讯作者:
H. Prade
H. Prade
中科院分区:
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文献类型:
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作者:
D. Dubois;H. Prade

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贝叶斯调理与刘易斯成像之间的差异与Gardenfors的信念修订版与Katsuno和Mendelzon'在逻辑框架中的更新之间的差异相似。提出了这两个操作的可能性理论,包括根据不确定观察结果进行条件的情况。可能的条件满足了信念修订的所有假设,并可能成像所有更新的假设。最后,在信念和合理性功能的设置中自然引入了一个名为“聚焦”的操作。
The difference between Bayesian conditioning and Lewis' imaging is somewhat similar to the one between Gardenfors' belief revision and Katsuno and Mendelzon' updating in the logical framework. Counterparts in possibility theory of these two operations are presented, including the case of conditioning upon an uncertain observation. Possibilistic conditioning satisfies all the postulates for belief revision, and possibilistic imaging all the updating postulates. Lastly, a third operation called "focusing" is naturally introduced in the setting of belief and plausibility functions.