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.

中文翻译：

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基于严格偏序集的选择函数：公理化特征

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，或基于一组这样的偏序。我在这里为这种形式的选择函数提供了一个非常普遍的公理化特征。它包括基于（多组）全阶、（多组）弱阶、（多组）相干较低预测和（多组）概率测度的选择函数的特殊情况公理化特征。