| 模糊赋范线性空间的紧性与完备性 |
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| 引用本文： | 肖建中.模糊赋范线性空间的紧性与完备性[J].模糊系统与数学,2000,14(3):48-53. |
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| 作者姓名： | 肖建中 |
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| 作者单位： | 盐城师范学院,数学系,江苏,盐城,224002 |
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| 摘 要： | 讨论了Fuzzy赋范线性中准紧集、完备集及有界集间的关系；给出完备Fuzzy赋范空间的闭球套定理与Baire定理；刻画了了有限维Fuzzy赋范空间的特征。
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| 关 键 词： | 准紧集 完备集 有界集 模糊赋范线性空间 紧性 完备性 |
Compactness and Completeness of Fuzzy Normed Linear Space |
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| XIAO Jian-zhong.Compactness and Completeness of Fuzzy Normed Linear Space[J].Fuzzy Systems and Mathematics,2000,14(3):48-53. |
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| Authors: | XIAO Jian-zhong |
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| Abstract: | In this paper,the relations among the precompact set,the complete set and the bounded set of a fuzzy normed linear space are discussed,the closed ball theorem and Baire theorem on complete fuzzy linear spaces are given,and the characters of finite dimensional fuzzy normed linear spaces are described. |
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| Keywords: | Fuzzy Normed Linear Space Precompact Complete Bounded |
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