| 局部紧空间上模糊值模糊测度的正则性 |
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| 引用本文： | 纪爱兵,李树环,庞佳宏.局部紧空间上模糊值模糊测度的正则性[J].模糊系统与数学,2006,20(5):65-70. |
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| 作者姓名： | 纪爱兵 李树环 庞佳宏 |
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| 作者单位： | 河北大学,医学院,卫生管理系,河北,保定,071000 |
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| 摘 要： | 研究局部紧Hausdorff空间上模糊值模糊测度。首先,给出模糊值模糊测度的自连续和一致自连续的定义,然后引进模糊值模糊测度正则性的概念,在自连续或一致自连续的条件下,证明了局部紧空间上模糊值模糊测度的一些定理。
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| 关 键 词： | 模糊值集函数的自连续 模糊值集函数的一致自连续 内(外)正则性 正则模糊值模糊测度 |
| 文章编号： | 1001-7402（2006）05-0065-06 |
| 收稿时间： | 2005-05-17 |
| 修稿时间： | 2005-07-18 |
Regularity of Fuzzy-valued Fuzzy Measure on Locally Compact Space |
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| JI Ai-bing,LI Shu-huan,PANG Jia-hong.Regularity of Fuzzy-valued Fuzzy Measure on Locally Compact Space[J].Fuzzy Systems and Mathematics,2006,20(5):65-70. |
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| Authors: | JI Ai-bing LI Shu-huan PANG Jia-hong |
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| Institution: | Medical College, Hebei University,Baoding 071000,China |
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| Abstract: | In this paper, we study the fuzzy-valued fuzzy measure on locally compact Hausdorff space. We first give the definition of autocontinuity and uniform autocontinuity of the fuzzy-valued fuzzy measure; then introduce the concept of the regularity of the fuzzy-valued fuzzy measure. At last, On some conditions, we prove several theorems on regular fuzzy-valued fuzzy measure. |
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| Keywords: | Autocontinuity of Fuzzy-valued Set Function Uniform Autocontinuity of Fuzzy-valued Set Function Inner(Outer) Regular Set Regular Fuzzy-valued Fuzzy Measure |
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