| 引用本文: | 杜小勇,李兵.正规模糊测度空间上的条件期望.[J].国防科技大学学报,1999,21(6):123-126.[点击复制] |
| Du Xiaoyong,Li Bing.Conditional Expectation on a Normal Fuzzy Measure Space[J].Journal of National University of Defense Technology,1999,21(6):123-126[点击复制] |
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| 正规模糊测度空间上的条件期望 |
| 杜小勇, 李兵 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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| 摘要: |
| 讨论了次可加、具有有界变差的正规模糊测度空间上关于模糊测度、内测度及模糊积分的性质, 在此基础上定义了此模糊测度空间上随机变量的条件数学期望, 它是相对于经典测度空间的一个推广。 |
| 关键词: 次可加, 有界变差, 正规模糊测度, 条件期望 |
| DOI： |
| 投稿日期：1999-02-21 |
| 基金项目:校实验技术研究项目资助课题 |
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| Conditional Expectation on a Normal Fuzzy Measure Space |
| Du Xiaoyong, Li Bing |
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(Department of Systems Engineering and Mathematics, NUDT, Changsha, 410073)
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| Abstract: |
| This paper discussed some properties of fuzzy measure, internal measure and fuzzy integration on a normal fuzzy measure space which is subadditive and has bounded variation. As a result, the conditional expectation of random variable on such measurable space is defined. |
| Keywords: subadditive, bounded variation, normal fuzzy measure, conditional expectation |
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