Probability intervals are an attractive tool for reasoning under uncertainty. Unlike belief functions, though, they lack a natural probability transformation to be used for decision making in a utility theory framework. In this paper we propose the use of the intersection probability, a transform derived originally for belief functions in the framework of the geometric approach to uncertainty, as the most natural such transformation. We recall its rationale and definition, compare it with other candidate representives of systems of probability intervals, discuss its credal rationale as focus of a pair of simplices in the probability simplex, and outline a possible decision making framework for probability intervals, analogous to the Transferable Belief Model for belief functions.

翻译：概率间隔是不确定情况下推理的诱人工具,但与信仰功能不同,它们缺乏用于在实用理论框架内决策的自然概率转换。在本文件中,我们提议使用交叉概率,即最初在对不确定性的几何方法框架内用于信仰功能的变异,作为最自然的这种变异。我们回顾它的理由和定义,将其与其他候选的概率间隔系统代表器进行比较,讨论其可靠的原理,将其作为概率简单x的一对不切入点的重点,并概述一个类似于信仰功能可转让信仰模式的概率间隔的可能决策框架。