| I-fuzzy拓扑中的正则开集 |
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| 引用本文： | 王瑞英,刘万霞,韩金元.I-fuzzy拓扑中的正则开集[J].纯粹数学与应用数学,2010,26(2):205-210. |
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| 作者姓名： | 王瑞英 刘万霞 韩金元 |
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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;内蒙古财经学院统计与数学学院;内蒙古乌兰浩特一中,内蒙古,乌兰浩特,137400 |
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| 摘 要： | 在I-fuzzy拓扑空间框架下引入了I-fuzzy正则开集和某个模糊点的I-fuzzy正则R-邻域系的概念,进一步,又给出了I-fuzzyδ-闭包、I-fuzzyδ-开集等概念,且分别研究了它们的基本性质.
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| 关 键 词： | 连续值逻辑 I-fuzzy拓扑 I-fuzzy正则开集 |
Regular open set in I-fuzzy topology |
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| WANG Rui-ying ,LIU Wan-xia ,HAN Jin-yuan.Regular open set in I-fuzzy topology[J].Pure and Applied Mathematics,2010,26(2):205-210. |
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| Authors: | WANG Rui-ying LIU Wan-xia HAN Jin-yuan |
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| Institution: | WANG Rui-ying 1,LIU Wan-xia 2,HAN Jin-yuan3(1.College of Mathematical Science,Inner Mongolia Normal University,Huhhot 010022,China,2.College of Statistics , Mathematics,Inner Mongolia Finance , Economics College,Hohhot 010051,3.U.lanhot NO.1 Middle School,U.lanhot 137400,China) |
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| Abstract: | In this paper, the concepts of I-fuzzy reguarly open set and I-fuzzy R-neighborhood system of a fuzzy point are introduced, and furthermore I-fuzzy δ-closure and I-fuzzy δ-open set are given and their fundamental properties axe obtained in the framework of I-fuzzy topology. |
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| Keywords: | continuous valued logic I-fuzzy topology I-fuzzy regular open set |
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