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arXiv 2003.11631cs.AIcs.LO
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基于严格偏序集的选择函数的公理化刻画

Choice functions based on sets of strict partial orders: an axiomatic characterisation

Ghent University(根特大学)

Jasper De Bock

摘要:

从一组选项中进行选择的方法通常基于这些选项的严格偏序,或者基于一组这样的偏序。我在这里提供了一个非常普遍的公理表征选择功能的这种形式。作为特殊情况,它包括基于全序(集合)、弱序(集合)、连贯下预测(集合)和概率度量(集合)的选择函数的公理化特征。

英文摘要:

Methods for choosing from a set of options are often based on a strict partial order on these options, or on a set of such partial orders. I here provide a very general axiomatic characterisation for choice functions of this form. It includes as special cases axiomatic characterisations for choice functions based on (sets of) total orders, (sets of) weak orders, (sets of) coherent lower previsions and (sets of) probability measures.

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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