| Fuzzy数值Fuzzy测度与Fuzzy数值Fuzzy测度空间上的几个定理 |
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| 引用本文： | 张广全.Fuzzy数值Fuzzy测度与Fuzzy数值Fuzzy测度空间上的几个定理[J].河北大学学报(自然科学版),1991(4). |
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| 作者姓名： | 张广全 |
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| 作者单位： | 河北大学数学系 |
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| 摘 要： | 本文在σ—代数上引入了Fuzzy数值Fuzzy测度以及Fuzzy数值Fuzzy测度的自连续性和伪自连续性等概念,并讨论了它们的一些性质,在Fuzzy数值Fuzzy测度空间上给出了‘几乎’和‘伪几乎’的概念,并证明了Fuzzy可测函数序列为Riesz定理、Lebeague定理和Egoroff定理。
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| 关 键 词： | Fuzzy数 Fuzzy测度 Fuzzy测度的自连续性 |
Fuzzy Number-Valued Fuzzy Measure and Some Theorems on the Fuzzy Number-valued Fuzzy Measure Space |
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| Zhang Guangquan.Fuzzy Number-Valued Fuzzy Measure and Some Theorems on the Fuzzy Number-valued Fuzzy Measure Space[J].Journal of Hebei University (Natural Science Edition),1991(4). |
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| Authors: | Zhang Guangquan |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,Fuzzy number-valued fuzzy measure on the o-algebra and the autoeontinuity of fuzzy number-valued fuzzy measure are introduced and their some properties are discussed, and Riesz's theorem, Lebesgue's theorem and Egoroffs theorem of fuzzy measurable function are given. |
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| Keywords: | Fuzzy number Fuzzy measure The autocontinuity of fuzzy measure |
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