| 正规模糊测度空间上的条件期望 |
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| 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. |
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| 作者姓名： | 杜小勇 李兵 |
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| 作者单位： | 国防科技大学系统工程与数学系!长沙410073 |
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| 基金项目： | 校实验技术研究项目资助课题 |
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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。
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| 关 键 词： | 次可加 有界变差 正规模糊测度 条件期望 |
| 收稿时间： | 1999/2/21 0:00:00 |
Conditional Expectation on a Normal Fuzzy Measure Space |
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| Du Xiaoyong and Li Bing.Conditional Expectation on a Normal Fuzzy Measure Space[J].Journal of National University of Defense Technology,1999,21(6):123-126. |
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| Authors: | Du Xiaoyong and Li Bing |
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| Institution: | Department of Systems Engineering and Mathematics, NUDT, Changsha, 410073;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. |
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| Keywords: | subadditive bounded variation normal fuzzy measure conditional expectation |
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