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POSSIBILISTIC MEASURES AND POSSIBLY FAVORABLE ELEMENTARY RANDOM EVENTS

机译:可能的措施和可能有利的基本随机事件

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Elementary random events possibly favorable to a random event are defined as those elementary random events for which we are not able to prove or deduce, within the limited framework of a decision procedure being at our disposal, that they are not favorable to the random event in question. Under some conditions, probabilities of the sets of possibly favorable elementary random events induce uniquely a possibilistic measure on the system of all subsets of the universe of elementary random events under consideration. Moreover, each possibilistic measure defined on this power-set can be obtained, or at least approximated to the degree of precision a priori given, in this way. Some results concerning the combinations of decision systems and decision systems induced by random variables are introduced and proved.
机译:可能对随机事件有利的基本随机事件被定义为在我们可以使用的决策程序的有限框架内,我们无法证明或推论为对随机事件不利的基本随机事件。题。在某些条件下,可能有利的基本随机事件集的概率在所考虑的基本随机事件宇宙的所有子集的系统上唯一地诱发了一种可能的测度。此外,以这种方式,可以获取或至少近似于先验给出的精确度来定义在该功率集上的每个可能的量度。介绍并证明了有关决策系统与由随机变量引起的决策系统组合的一些结果。

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