摘要翻译：
用无限多个线性约束来表示低预见性的标准相干准则。对于本质上定义在有限可能性空间上的有限赌博集上的较低预见，我们给出了只使用有限个约束条件的该判据的重新表述。任何这种较低的预见性是相干的，如果它位于由这些约束所定义的凸多面体内。这个多面体的顶点是给定赌博集的极端相干下预见。我们的重新表述使计算它们成为可能。我们展示了如何做到这一点，并说明了过程及其结果。
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英文标题：
《Characterizing the Set of Coherent Lower Previsions with a Finite Number
  of Constraints or Vertices》
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作者：
Erik Quaeghebeur
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最新提交年份：
2012
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分类信息：

一级分类：Computer Science        计算机科学
二级分类：Artificial Intelligence        人工智能
分类描述：Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域，除了视觉、机器人、机器学习、多智能体系统以及计算和语言（自然语言处理），这些领域有独立的学科领域。特别地，包括专家系统，定理证明（尽管这可能与计算机科学中的逻辑重叠），知识表示，规划，和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要：
  The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints. For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a reformulation of this criterion that only uses a finite number of constraints. Any such lower prevision is coherent if it lies within the convex polytope defined by these constraints. The vertices of this polytope are the extreme coherent lower previsions for the given set of gambles. Our reformulation makes it possible to compute them. We show how this is done and illustrate the procedure and its results.
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PDF链接：
https://arxiv.org/pdf/1203.3509