| 诱导的I-fuzzy拓扑生成序空间 |
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| 引用本文： | 吴修云,白世忠.诱导的I-fuzzy拓扑生成序空间[J].数学杂志,2015,35(2):451-461. |
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| 作者姓名： | 吴修云 白世忠 |
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| 作者单位： | 湖南科技学院计算数学所数学系;湘潭大学数学与计算科学学院;五邑大学数学与计算科学学院 |
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| 基金项目： | 国家自科基金(10971125);广东省自科基金(01000004);湖南科技学院重点学科建设项目 |
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| 摘 要： | 本文研究了模糊拓扑生成序空间与其诱导的I-fuzzy拓扑生成序空间之间的关系.利用三种Lowen映射内在关联的方法,引入了三种I-fuzzy拓扑生成序空间,建立了诱导的I-fuzzy拓扑生成序空间理论.获得了诱导的I-fuzzy拓扑与诱导的I-fuzzy拓扑生成序之间的从属关系.
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| 关 键 词： | 弱诱导的I-fuzzy拓扑生成序空间 诱导的I-fuzzy拓扑生成序空间 满层I-fuzzy拓扑生成序空间 I-fuzzy拓扑空间 |
| 收稿时间： | 2012/11/1 0:00:00 |
| 修稿时间： | 2013/9/3 0:00:00 |
ON INDUCED I-FUZZY TOPOGENOUS ORDER SPACES |
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| WU Xiu-Yun and BAI Shi-zhong.ON INDUCED I-FUZZY TOPOGENOUS ORDER SPACES[J].Journal of Mathematics,2015,35(2):451-461. |
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| Authors: | WU Xiu-Yun and BAI Shi-zhong |
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| Institution: | WU Xiu-Yun;BAI Shi-zhong;Dept.of Mathematics and Computing Science,Institute of Computational Mathematics,Hunan Institute of Science and Engineering;Dept.of Mathematics and Computing Science,Xiangtan University;Dept.of Mathematics and Computing Science Wuyi university; |
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| Abstract: | In this article, we study the relations between fuzzy topogenous spaces and their induced I-fuzzy topogenous spaces. By using the internal relationships of three Lowen functions, we introduce three I-fuzzy topogenous spaces and establish the theory of induced I-fuzzy topogenous spaces. We obtain the subordinate relations between I-fuzzy topologies and I-fuzzy topogenous orders. |
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| Keywords: | weakly induced I-fuzzy topogenous space induced I-fuzzy topogenous space stratified I-fuzzy topogenous space I-fuzzy topological space |
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