标度定性概率

摘要：

定性概率有不同的方法，其中包括主观概率。我们开发了一种基于关系系统的定性概率表示，它允许通过概率结构对不确定性进行建模，并且比现有方法更连贯。这种设置使得有可能证明任何比较概率都是由某种概率结构引起的（定理2.1），古典概率是一种概率结构（定理2.2），并且膨胀的，即，如果概率大于1，那么它也是一个概率结构（定理2.3）。此外，我们还研究了概率结构的古典概率表示。

英文摘要：

There are different approaches to qualitative probability, which includes subjective probability. We developed a representation of qualitative probability based on relational systems, which allows modeling uncertainty by probability structures and is more coherent than existing approaches. This setting makes it possible proving that any comparative probability is induced by some probability structure (Theorem 2.1), that classical probability is a probability structure (Theorem 2.2) and that inflated, i.e., larger than 1, probability is also a probability structure (Theorem 2.3). In addition, we study representation of probability structures by classical probability.

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。