| Fuzzy数收敛性的一个注记 |
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| 引用本文： | 孙刘平.Fuzzy数收敛性的一个注记[J].荆门职业技术学院学报,2009,24(11):43-45. |
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| 作者姓名： | 孙刘平 |
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| 作者单位： | 常州纺织服装职业技术学院数学教研室,江苏,常州,213164 |
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| 摘 要： | 文章利用截集，讨论了Fuzzy数序列的水平Fuzzy收敛性与点式弱收敛性的关系。证明了Fuzzy数序列的水平Fuzzy收敛性蕴涵点式弱收敛性，但反之不真。
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| 关 键 词： | α截集 Fuzzy数 弱收敛 |
A Note on Convergence of Fuzzy Nmnbers |
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| Institution: | SUN Liu - ping ( Changzhou Textile Garment Institute, Changzhou, Jiangsu ,213164, China) |
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| Abstract: | In this paper, by using cut sets, the relationship between levelwise Fuzzy convergence of sequences of Fuzzy numbers and pointwise weak convergence of sequences of Fuzzy numbers is discussed. It is proved that levelwise Fuzzy convergence of sequences of Fuzzy numbers implies pointwise weak convergence of sequences of Fuzzy numbers,but the converse is not true. |
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| Keywords: | α - cut set Fuzzy numbers weak convergence |
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