| (L,M)-fuzzy预拓扑空间的连通度 |
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| 引用本文： | 杨文华,李生刚,赵虎.(L,M)-fuzzy预拓扑空间的连通度[J].云南大学学报(自然科学版),2015,37(6):793-799. |
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| 作者姓名： | 杨文华 李生刚 赵虎 |
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| 作者单位： | 1.内蒙古财经大学 统计与数学学院, 内蒙古 呼和浩特 010070; |
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| 摘 要： | 在(L,M)-fuzzy预拓扑空间中,利用(L,M)-fuzzy预闭包算子定义了(L,M)-fuzzy隔离度及连通度,讨论其等价刻画,给出了(L,M)-fuzzy预拓扑空间中连通度的樊畿刻画.
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| 关 键 词： | (L M)-fuzzy拓扑 (L M)-fuzzy预拓扑 隔离度 连通度 Fan-连通度 |
| 收稿时间： | 2015-01-26 |
Connectedness degrees in(L,M)-fuzzy pre-topological spaces |
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| YANG Wen-hua,LI Sheng-gang,ZHAO Hu.Connectedness degrees in(L,M)-fuzzy pre-topological spaces[J].Journal of Yunnan University(Natural Sciences),2015,37(6):793-799. |
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| Authors: | YANG Wen-hua LI Sheng-gang ZHAO Hu |
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| Institution: | 1.College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, China; |
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| Abstract: | In(L, M)-fuzzy pre-topological spaces, the notion of separatedness degrees and connecteness degrees are introduced by means of (L, M)-fuzzy pre-closure operators, a equivalent condition of connecteness degrees is proved.Moreover, a characterization of connecteness degrees in (L, M)-fuzzy pre-topological spaces by the manner of K.Fan's theorem is obtained. |
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| Keywords: | (L M)-fuzzy topology (L M)-fuzzy pre-topology separatedness degrees connectedness degrees fan-connectedness degrees |
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