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Comments on 'a behavioural model for vague probability assessments' (G. de Cooman)

机译:评论“模糊的概率评估行为模型”(G. de Cooman)

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摘要

Gert de Cooman has presented a sound and deep approach to vague probability, providing a behavioural interpretation for it. He proposes natural extension as the basic inference procedure, a simple and a general method from which very diverse inference rules can be deduced. This paper discusses some aspects of de Cooman's approach. First, I consider the possibility of extending the approach to general vague magnitudes. Then, I try to put in clear the relationships of vague probability with another approaches as the general theory of imprecise probability and Zadeh's difinition of fuzzy probability. Finally, I give an example of full possibilistic prevision that can be obtained by conditioning a credal set to an observation and propose the use of more general behaviour functions.
机译:格特·德·库曼(Gert de Cooman)为模糊的概率提供了一种合理而深入的方法,并为其提供了行为解释。他提出自然扩展作为基本的推理过程,这是一种简单而通用的方法,可以从中推导出多种多样的推理规则。本文讨论了de Cooman方法的某些方面。首先,我考虑将方法扩展到一般模糊程度的可能性。然后,我试图阐明模糊概率与另一种方法的关系,即不精确概率的一般理论和扎迪对模糊概率的定义。最后,我举一个完全可能的预案的例子,该预案可以通过对观察结果设置条件集来获得,并建议使用更一般的行为函数。

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