This paper studies connections between two alternatives to the standard probability calculus for representing and reasoning about uncertainty: imprecise probability and comparative probability. The goal is to identify complete logics for reasoning about uncertainty in a comparative probabilistic language whose semantics is given in terms of imprecise probability. Comparative probability operators are interpreted as quantifying over a set of probability measures. Modal and dynamic operators are added for reasoning about epistemic possibility and updating sets of probability measures.

中文翻译：

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不精确的比较概率逻辑

本文研究了用于表示和推理不确定性的标准概率演算的两个备选方案之间的联系：不精确概率和比较概率。目的是确定一种比较逻辑，该逻辑用于推理比较概率语言中的不确定性，其语义是根据不精确的概率给出的。比较概率算符被解释为对一组概率测度进行量化。添加了模态和动态算子，以进行关于认知可能性的推理并更新概率度量集。