| Fuzzy向量测度及其积分 |
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| 引用本文： | 刘彦奎.Fuzzy向量测度及其积分[J].河北大学学报(自然科学版),1995(1). |
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| 作者姓名： | 刘彦奎 |
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| 作者单位： | Department of Mathematics，Hebei University，Baoding 071002 |
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| 摘 要： | 本文首先在欧氏空间Ｒ￣ｍ中引进序“≤”关系，定义了取值于Ｒ中的Ｆｕｚｚｙ向量测度。在第三部分讨论了取值于Ｒ中的可测向量函数列的收敛，在第四部分定义了可测向量函数关于Ｆｕｕｚｙ向量测度的积分并讨论了这种积分的收敛性。
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| 关 键 词： | Fuzzy向量测度 |
Fuzzy Vector-valued Measure and Integral |
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| Liu Yiankui.Fuzzy Vector-valued Measure and Integral[J].Journal of Hebei University (Natural Science Edition),1995(1). |
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| Authors: | Liu Yiankui |
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| Abstract: | In the paper,A relation"<"is first introduced in the Euclidean spaceR￣m which orders the space R￣m,Fuzzy vector-valued measure which takes on values in R isdefined.In part 3,the convergence of measurable functions which tkae on values in R isdiscussed.In the last part,the integral of a measurable vector-valued function with respectto fuzzy vector-valued measure is given and the convergence of such integral is discussedtoo. |
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| Keywords: | uzzy vector-valued measure |
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