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L-fuzzy拓扑空间的相对强正则分离性
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
作者姓名:李尧龙
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
基金项目:中国科学院资助项目 , 渭南师范学院校科研和教改项目
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.

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:2005-12-18

Regular Separation of Being Relatively Strong in L - fuzzy Topological Space
LI Yaolong. Regular Separation of Being Relatively Strong in L - fuzzy Topological Space[J]. Journal of Ningxia Teachers College, 2006, 27(3): 1-4
Authors:LI Yaolong
Affiliation: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
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.
Keywords:L- fuzzy relative strong regular separation  L-fuzzy regular separation  molecule  neighborhood
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