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| 模糊拓扑空间的m—收敛理论 | |
| 引用本文： | 李庆国. 模糊拓扑空间的m—收敛理论[J]. 模糊系统与数学, 1997, 11(4): 72-78 |
| 作者姓名： | 李庆国 |
| 作者单位： | 湖南大学应用数学系 |
| 摘 要： | 本文在模糊拓扑空间中引进了模糊网和模糊滤子的ｍ－收敛概念，探讨了模糊网的ｍ－收敛与模糊滤子的ｍ－收敛之间的关系，得到了Ｈａｕｓｄｏｒｆｆ拓扑与模糊网的ｍ－收敛和模糊滤子的ｍ－收敛之间的关系以及刻画Ｈａｕｓｄｏｒｆｆ拓扑几何特征的定理。 |
| 关 键 词： | 模糊网 模糊滤子 m－收敛 模糊拓扑空间 |
The m Convergence Theory in Fuzzy Topological Space |
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| Abstract: | In this paper,the m convergeneces of fuzzy net and fuzzy filter are introduced in the fuzzy topological space.The relations between the m convergences of fuzzy net and fuzzy filter are investigated.The theorem of relations between the Hausdorff topology and the m convergences of fuzzy net,fuzzy filter are obtained.The theorem of the geometrical characteristics concerning Hausdorff topology is described. |
| Keywords: | ,Fuzzy net,Fuzzy filter,M cluster point,M convergence, |
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