论文标题

交叉点概率:概率间隔的投注

The intersection probability: betting with probability intervals

论文作者

Cuzzolin, Fabio

论文摘要

概率间隔是在不确定性下推理的有吸引力的工具。但是,与信念的功能不同,它们缺乏在实用程序理论框架中用于决策的自然概率转换。在本文中,我们提出了交叉点概率的使用,这是一种最初是在几何方法框架中用于不确定性的框架中的信念功能的转换,作为最自然的这种转换。我们回想起其基本原理和定义,将其与概率间隔系统系统的其他候选代表进行比较,讨论其信用原理作为概率中的一对简单的焦点,并概述了概率间隔的可能的决策框架,类似于可转移的信念模型的信念功能。

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.

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