论文标题
选择功能的推断使实用
Inference with Choice Functions Made Practical
论文作者
论文摘要
我们研究如何以保守的方式从以前的选择中推断出新的选择。为了做出这样的推论，我们使用了选择函数的理论：保守决策的统一数学框架，使人们可以将公理直接强加于代表的决策。我们在这里采用了De Bock和De Cooman（2019）的连贯公理。我们展示了如何在可能的情况下自然地将任何给定的选择评估扩展到这种连贯的选择功能，并使用这种自然扩展来做出新的选择。我们提出了一种实用算法来计算这种自然扩展，并提供了几种可用于提高其可扩展性的方法。
We study how to infer new choices from previous choices in a conservative manner. To make such inferences, we use the theory of choice functions: a unifying mathematical framework for conservative decision making that allows one to impose axioms directly on the represented decisions. We here adopt the coherence axioms of De Bock and De Cooman (2019). We show how to naturally extend any given choice assessment to such a coherent choice function, whenever possible, and use this natural extension to make new choices. We present a practical algorithm to compute this natural extension and provide several methods that can be used to improve its scalability.
