I-fuzzy拓扑空间中的pre-重域结构 |
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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-重域结构[J].数学的实践与认识,2014(2). |
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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; |
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基金项目: | 内蒙古自治区研究生教育创新计划资助项目(S201310135010);内蒙古师范大学研究生科研创新基金(CXJJS12030);内蒙古自然科学基金(主持2012MS0121和参与2010MS0118);内蒙古自治区高等学校科学技术研究项目(NJZY11033) |
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摘 要: | 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,进而分别研究了它们的性质,最后在I-fuzzy拓扑空间中讨论了I-fuzzy pre-网收敛.
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关 键 词: | I-fuzzy拓扑空间 pre-重域 pre-闭包 pre-网收敛 |
Pre Q-neighborhood Structure in I-fuzzy Topological Spaces |
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Abstract: | In this paper,the concepts of I-fuzzy pre-open set,I-fuzzy pre-Q-neighborhood and I-fuzzy pre-closure and their fundamental propreties are obtained in framework of Ifuzzy topology,and furthermore,pre-net convergence is discussed in the framework of I-fuzzy topology. |
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Keywords: | I-fuzzy topology pre-Q-neighborhood pre-closure pre-net convergence |
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