| 模糊度量空间的一些结果 |
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| 引用本文： | 陈鹏.模糊度量空间的一些结果[J].模糊系统与数学,2010,24(3). |
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| 作者姓名： | 陈鹏 |
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| 作者单位： | 西部矿业股份有限公司,青海,西宁,810001 |
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| 基金项目： | The project is supported by the 863 plan:Digital mining key technology and software development |
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| 摘 要： | 指出在Erceg's伪度量公理中(B3)条件对讨论它的诱导拓扑不是本质的.基于这个结果,给出它的两种诱导拓扑的关系.最后,在Erceg's伪度量集合上构造一个非平凡的一一映射.
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| 关 键 词： | 分子格 way below关系 Erceg's伪度量 |
Some Results in Fuzzy Metric Spaces |
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| CHEN Peng.Some Results in Fuzzy Metric Spaces[J].Fuzzy Systems and Mathematics,2010,24(3). |
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| Authors: | CHEN Peng |
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| Institution: | CHEN Peng(Western Mining Holding Co.Ltd.,Xining 810001,China) |
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| Abstract: | In the paper, we point out that the (B3) axiom in Erceg's pseudo-metric is not essential to research its induced L-topology, discuss the relationship between two kinds of induced L-topologies by fuzzy pseudo-metric, and show that there is a one to one map on the set of all Erceg's pseudo-metrics. |
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| Keywords: | A Molecular Lattice Way Below Erceg's Pseudo-metric |
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