| Fuzzifying拓扑中的Pre-网收敛 |
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| 引用本文： | 王瑞英,斯钦孟克,刘万霞.Fuzzifying拓扑中的Pre-网收敛[J].纯粹数学与应用数学,2011,27(6):723-729. |
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| 作者姓名： | 王瑞英 斯钦孟克 刘万霞 |
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| 作者单位： | 1. 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022
2. 内蒙古财经学院统计与数学学院,内蒙古呼和浩特,010051 |
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| 基金项目： | 内蒙古自治区高等学校科学研究项目，内蒙古自然科学基金 |
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| 摘 要： | 运用连续值逻辑语义的方法研究fuzzifying拓扑空间,从Pre-开集出发引入了Pre-导集的概念,并且给出了它的一些性质,进一步探讨了Pre-网收敛理论.这些研究有助于丰富和发展fuzzifying拓扑学的基本理论.
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| 关 键 词： | 连续值逻辑 fuzzifying拓扑 Pre-导集 网收敛 |
Pre-net convergence in fuzzifying topology |
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| WANG Rui-ying,SIQIN Meng-ke,LIU Wan-xia.Pre-net convergence in fuzzifying topology[J].Pure and Applied Mathematics,2011,27(6):723-729. |
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| Authors: | WANG Rui-ying SIQIN Meng-ke LIU Wan-xia |
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| Institution: | 1.College of Mathematical Science,Inner Mongolia Normal University,Huhhot 010022,China;2.College of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010051,China) |
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| Abstract: | In this paper,we investigate fuzzifying topological space with the semantic method of continuous logic,based on the concept of Pre-open set,the concept of Pre-derived set is introduced in fuzzifying topology and some properties are obtained.Moreover,the Pre-net convergence is discuss in fuzzifying topology.These study enrich and develop a fundamental theory about fuzzifying topology. |
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| Keywords: | continuous valued logic fuzzifying topology Pre-derived set net convergence |
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