| Fuzzy测度序列的收敛性和积分序列的收敛定理 |
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| 引用本文： | 张德利,郭彩梅,王中海. Fuzzy测度序列的收敛性和积分序列的收敛定理[J]. 东北师大学报(自然科学版), 1993, 0(4) |
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| 作者姓名： | 张德利 郭彩梅 王中海 |
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| 作者单位： | 吉林省教育学院数学系，吉林省教育学院数学系，吉林省教育学院数学系 |
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| 摘 要： | 本文在Sugeno的Fuzzy测度和Puzzy积分意义下,给出了Puzzy测度序列的几种收敛定义,其中包括收敛、一致收敛、弱收敛、α-几乎处处收敛、依α-测度收敛及α-平均收敛,同时讨论了它们之间的关系,最后,推广了Fadou引理与Lebesgue收敛定理。
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| 关 键 词： | Fuzzy测度序列 收敛 Fuzzy积分 收敛定理 |
The Convergence of Sequences of Fuzzy measures and The Convergence Theorems of Sequences of Integrals |
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| Zhang Deli,Guo Caimei,Wang Zhonghai Dept. of Math. Jilin Prov. Inst. of Education. The Convergence of Sequences of Fuzzy measures and The Convergence Theorems of Sequences of Integrals[J]. Journal of Northeast Normal University (Natural Science Edition), 1993, 0(4) |
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| Authors: | Zhang Deli Guo Caimei Wang Zhonghai Dept. of Math. Jilin Prov. Inst. of Education |
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| Affiliation: | Zhang Deli;Guo Caimei;Wang Zhonghai Dept. of Math. Jilin Prov. Inst. of Education |
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| Abstract: | In this paper, some definitions about convergence of sequences of fuzzy measures of Sugeno's sense are given. These consist of convergence, uniform convergence, weak convergence, a-a. e convergence, in a measure convergence, a mean convergence. The relations of them are disscussed. At last, Fatou's lemma and Lebesgue's convergence theorem are extended. |
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| Keywords: | Sequence of fuzzy measures convergence fuzzy integral convergence theorem. |
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