| LF拓扑线性空间上Fuzzy线性泛函的连续性 |
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| 引用本文： | 颜世瑜.LF拓扑线性空间上Fuzzy线性泛函的连续性[J].模糊系统与数学,1998,12(2):24-24. |
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| 作者姓名： | 颜世瑜 |
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| 作者单位： | 镇江师专数学系 |
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| 摘 要： | 文（４）中给出了Ｘ（Ｌ）上的模糊线性算子的定义。作为其特例，本文证明了ＬＦ拓扑线性空间上模糊线性泛函连续性的几个等价命题和模糊线性泛函的Ｈａｈｎ－Ｂａｎａｃｈ延拓定理，进而给出了ＬＦ拓扑线性空间上存在非零连续模糊线性泛函的一个充要条件。
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| 关 键 词： | 拓扑线性空间 LF拓扑空间 模糊线性泛函 连续性 |
^The Continuity of Fuzzy Linear Functional on L- fuzzy Topological Vector Spaces |
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| Yan Shiyu.^The Continuity of Fuzzy Linear Functional on L- fuzzy Topological Vector Spaces[J].Fuzzy Systems and Mathematics,1998,12(2):24-24. |
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| Authors: | Yan Shiyu |
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| Abstract: | In this paper we prove the several equivalent propositions for continuity of fuzzy linear functional on L-fuzzy topological vector. spaces and Hahn-Banach extension theorem of fuzzy linear functional. We also give a sufficient and necessary condition that ensures there exist non-zero continuous fuzzy linear functionals on a L-fuzzy topological vector space. |
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| Keywords: | L-fuzzy topological vector space Fuzzy linear functional Continuous fuzzy linear functional |
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