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双模糊拓扑中的分离性
引用本文:赵美香,刘京凤.双模糊拓扑中的分离性[J].汕头大学学报(自然科学版),2007,22(2):24-27.
作者姓名:赵美香  刘京凤
作者单位:1. 临沂师范学院数学系,山东,临沂,276001
2. 临沂二中,山东,临沂,276005
摘    要:在双模糊化拓扑空间中,引入新的概念邻域系,并以此定义Ti-(i=-1,0,1,2)分离性,利用闭包和局部基给出它们的一些刻画,得出T2是T1的、T1是T0的、T0是T-1的结论.

关 键 词:邻域系  双F-拓扑  分离性
文章编号:1001-4217(2007)02-0024-04
收稿时间:2006-03-28
修稿时间:2006-03-28

Separation Axioms in Bifuzzy Topological Spaces
ZHAO Mei-xiang,LIU Jing-feng.Separation Axioms in Bifuzzy Topological Spaces[J].Journal of Shantou University(Natural Science Edition),2007,22(2):24-27.
Authors:ZHAO Mei-xiang  LIU Jing-feng
Institution:1. Department of Mathematics, Linyi Normal College, Linyi 276001, Shandong, China; 2. Linyi No.2 Middle School, Linyi 276005, Shandong, China
Abstract:The new concept of neighborhood system in bifuzzy topology spaces is introduced and Ti-(i =-1,0,1,2) separation axioms are presented.Some of their characterizations are given by closure and local basis.It is proved that T2 is T1,T1 is T0 and T0 is T-1.
Keywords:neighborhood system  bifuzzy topology  separation axioms
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