| Fuzzy集上的Fuzzy数值Fuzzy测度的扩张 |
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| 引用本文： | 翟建仁,张广全.Fuzzy集上的Fuzzy数值Fuzzy测度的扩张[J].河北大学学报(自然科学版),1992(2). |
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| 作者姓名： | 翟建仁 张广全 |
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| 作者单位： | 河北机电学院
(翟建仁)，河北大学数学系(张广全) |
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| 摘 要： | 本文给出了Fuzzy数值Fuzzy测度的绝对值连续性的定义及Fuzzy数值Fuzzy测度的扩张定理,推广了〔1〕的结果。
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| 关 键 词： | Fuzzy测度 绝对连续 集函数的扩张 Fuzzy集 |
Extension of Fuzzy Number-valued Fuzzy Measure on the Fuzzy Set |
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| Zhai Jianren.Extension of Fuzzy Number-valued Fuzzy Measure on the Fuzzy Set[J].Journal of Hebei University (Natural Science Edition),1992(2). |
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| Authors: | Zhai Jianren |
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| Institution: | Zhai Jianren (Hebei Institute of Mechano- Electric Engineering)
Zhang Guangquan (Department of Mathematics) |
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| Abstract: | In this paper, we discuss the extension problem for a special class of fuzzy number-valued fuzzy measure on fuzzy set and give a condition that they can be extended from a fuzzy algebra onto a fuzzy σ-algebra containing it. |
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| Keywords: | Fuzzy measure Absolute continuous Extension of set function Fuzzy Set |
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