| I-fuzzy拓扑空间中的pre-分离性的研究 |
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| 引用本文： | 赵姣,王瑞英,李南南. I-fuzzy拓扑空间中的pre-分离性的研究[J]. 宝鸡文理学院学报(自然科学版), 2013, 33(4): 7-10 |
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| 作者姓名： | 赵姣 王瑞英 李南南 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022;内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022;内蒙古师范大学数学科学学院,内蒙古呼和浩特,010022 |
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| 基金项目： | 内蒙古自然科学基金资助项目(No.2012MS0121;No.2010MS0118);内蒙古自治区研究生教育创新计划资助项目(No.S201310135010);内蒙古师范大学研究生科研创新基金项目(No.CXJJS12030);内蒙古自治区高等学校科学技术研究项目(No.NJZY11033) |
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| 摘 要： | 目的 讨论I-fuzzy拓扑空间中的pre-分离公理.方法利用连续值逻辑语义的方法.方法 利用连续值逻辑语义的方法.结果 首先在I-fuzzy拓扑空间框架下引入了I-fuzzy pre-开集、I-fuzzy pre-重域及I-fuzzy pre-闭包等概念,进而在I-fuzzy拓扑空间中讨论了I-fuzzy pre-分离性.结论 得到了I-fuzzy pre-分离性和一些它们的等价命题.
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| 关 键 词： | I-fuzzy拓扑空间 分离性 pre-重域 |
Pre-separation axiom in I-fuzzy topological spaces |
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| ZHAO Jiao;WANG Rui-ying;LI Nan-nan. Pre-separation axiom in I-fuzzy topological spaces[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2013, 33(4): 7-10 |
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| Authors: | ZHAO Jiao WANG Rui-ying LI Nan-nan |
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| Affiliation: | ZHAO Jiao;WANG Rui-ying;LI Nan-nan;College of Mathematics Science,Inner Mongolia Normal University; |
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| Abstract: | Objective--To study pre-separation axiom in I-fuzzy toPological spaces. Methods-- Continuous valued logic semantics are adopted for the abovementioned objective. Results--The concepts of I-fuzzy pre-open sets, I-fuzzy pre-Q-neighborhood and I-fuzzy Pre-closure in the framework of I-fuzzy topology are introduced. Furthermore, we I-fuzzy pre-separation in I-fuzzy topological spaces is introduced as well. Conelusion--Pre：separation inI-fuzzy topological spaces and some of their equivalents are obtained. |
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| Keywords: | I-fuzzy topological spaces separation pre-Q-neighborhood |
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