| 模糊度量空间的完备性特征 |
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| 引用本文： | 何培均. 模糊度量空间的完备性特征[J]. 贵州大学学报(自然科学版), 1992, 0(4) |
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| 作者姓名： | 何培均 |
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| 作者单位： | 贵州大学数学系 贵阳 |
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| 摘 要： | 在Kaleva和Seikkala引入的模糊度量空间框架下,研究它的完备性特征。引入了模糊度量空间中子集的模糊有界性和模糊直径的概念,在此基础上证明了模糊度量空间的一个充分必要条件,它类似于表征通常度量空间完备性的G.Cantor定理。
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| 关 键 词： | 模糊度量空间 完备性 子集 模糊有界 模糊直径 |
Characterization of Completcrice for Fuzzy Metric Space |
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| He Peijun. Characterization of Completcrice for Fuzzy Metric Space[J]. Journal of Guizhou University(Natural Science), 1992, 0(4) |
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| Authors: | He Peijun |
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| Abstract: | Under the definition of fuzzy metric space introduce by kaleva and Seikkala, We define the concepts: bounded fuzzy subset, diameter of a fuzzy subset. Then we prove a theorem which characterize the completencess of fuzzy metric space. This theorem is a fuzzy generalization of G. Cantor's theorem for metric spaces. |
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| Keywords: | fuzzy metaic space fuzzy subset diameter of a fuzzy subset. |
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