| L-fuzzy拓扑空间的相对强正则分离性 |
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| 引用本文： | 李尧龙.L-fuzzy拓扑空间的相对强正则分离性[J].宁夏师范学院学报,2006,27(3):1-4. |
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| 作者姓名： | 李尧龙 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062;渭南师范学院,数学系,陕西,渭南,714000 |
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| 基金项目： | 中国科学院资助项目
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渭南师范学院校科研和教改项目 |
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| 摘 要： | 定义了L-fuzzy拓扑空间中加强的相对正则分离性,讨论了加强的相对正则分离性的一系列性质,证明了加强的相对正则分离性是遗传的,闭集传递的,弱同胚不变的,并且有L-好的推广性质.最后对加强的相对正则分离性与相对正则分离性作了比较.
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| 关 键 词： | 加强的L-fuzzy相对正则分离性 L-fuzzy正则分离性 分子 远域 |
| 文章编号： | 1001-0491（2006）03-0001-04 |
| 收稿时间： | 2005-12-18 |
| 修稿时间： | 2005年12月18 |
Regular Separation of Being Relatively Strong in L - fuzzy Topological Space |
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| LI Yaolong.Regular Separation of Being Relatively Strong in L - fuzzy Topological Space[J].Journal of Ningxia Teachers College,2006,27(3):1-4. |
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| Authors: | LI Yaolong |
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| Institution: | 1. College of Mathematics and Information Science, Shaanxi Normal Umiversity , Xian, Shaanxi, China 710062; 2. Department of Mathematics, Weinan Teachers Collcge, Weinan. Shaanxi, China 714000 |
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| Abstract: | The concepts of relative strong regular separation in L - fuzzy topological space is introduced . A series of properties of relative strong regular separation are discussed ,and it is proved that hereditary ,closed direetion,L-good extension,and weak homeomorphic invariant of relative strong regular separation are all valid. Finally,the connection between relative strong regular separation and regular separation are investigated. |
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| Keywords: | L- fuzzy relative strong regular separation L-fuzzy regular separation molecule neighborhood |
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