if -集合集合上的包容-不相容原理

EUSFLAT Conf. Pub Date : 2011-08-06 DOI:10.2991/eusflat.2011.37

Jana Kelemenova

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引用次数: 0

摘要

P. Grzegorzewski[3]研究了包含-排除原理的概率版本，并对if -事件进行了推广。他应用了两个版本的广义公式，对应于不同的t符合，从而定义了if事件的并集。本文对Grzegorzewski定理进行了推广。我们证明了从IF集合集合到单位区间([2]，[1])的映射。[4]和[5]中也有类似的概括。

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The Inclusion-Exclusion Principle On the Set of IF-sets

P. Grzegorzewski [3] has worked the probability version of the inclusion-exclusion principle and made a generalization for IF-events. He had applied two versions of the generalized formula, corresponding to dierent t-conorms and so defined the union of IF-events. This paper contains the generalization of the Grzegorzewski theorem. We prove it for mappings from the set of IF sets to the unit interval([2], [1]). Similar generalizations are presented in [4] and [5].

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EUSFLAT Conf.

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