| 模糊随机变量及其概率特征 |
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| 引用本文： | 欧进萍,王光远. 模糊随机变量及其概率特征[J]. 哈尔滨建筑大学学报, 1989, 0(1) |
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| 作者姓名： | 欧进萍 王光远 |
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| 作者单位： | 哈尔滨建筑工程学院工程理论研究所(欧进萍)，哈尔滨建筑工程学院工程理论研究所(王光远) |
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| 摘 要： | 本文在超可测空间的基础上定义了模糊随机集,研究了严格正规模糊随机集的生成集和某些可测性问题;然后将严格正规模糊随机集作为变量取值的限制,定义了一种新的模糊随机变量,证明了它的可能性分布函数是一个随机过程,引进了模糊随机变量的F 样本集合,讨论了模糊随机变量的某些概率特征。
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| 关 键 词： | 模糊随机集 随机变量生成集 模湖随机变量 R-F 期望 |
Fuzzy Random Variables and Some of Their Probabilistic.Characteristics |
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| Ou Jinping Wang Guangyuan. Fuzzy Random Variables and Some of Their Probabilistic.Characteristics[J]. Journal of Harbin University of Civil Engineering and Architecture, 1989, 0(1) |
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| Authors: | Ou Jinping Wang Guangyuan |
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| Affiliation: | Ou Jinping Wang Guangyuan |
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| Abstract: | In this paper,a fuzzy random set is defined on the basis of the supermeasurable space,and the product set and some measurable properties of a strict normal fuzzy set are studied.Then,by taking the strict nor-mal fuzzy set as the restriction of a random variable,a new fuzzyrandom variable is defined and it is proved that its possibility distribu-tion function is a random process.Furthermore,the F-sample set of afuzzy random variable is introduced and some fuzzy probabilistic char-acteristics of the variable are discussed. |
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| Keywords: | fuzzy random set random variable product set fuzzy random variable R-F expectation. |
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