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I-fuzzy拓扑空间的次分离公理
引用本文:姜翠美,方进明,李齐.I-fuzzy拓扑空间的次分离公理[J].模糊系统与数学,2011,25(4).
作者姓名:姜翠美  方进明  李齐
作者单位:1. 青岛理工大学临沂校区,山东临沂,276000
2. 中国海洋大学数学科学学院,山东青岛,266000
摘    要:在I-fuzzy拓扑空间中引入次T1和次T2分离公理,新的分离公理具有预期好的性质,如:具有遗传性和可乘性,在次T2空间中分子网收敛唯一等。初步讨论次分离公理与其它分离公理的关系。

关 键 词:I-fuzzy拓扑  次T1  次T2  重域  

Sub-separation Axioms in I-fuzzy Topological Spaces
JIANG Cui-mei,FANG Jinming,LI Qi.Sub-separation Axioms in I-fuzzy Topological Spaces[J].Fuzzy Systems and Mathematics,2011,25(4).
Authors:JIANG Cui-mei  FANG Jinming  LI Qi
Institution:JIANG Cui-mei1,FANG Jinming2,LI Qi1(1.Qingdao Technological University on Linyi,Linyi 276000,China,2.Department of Applied Mathematics,Ocean University of Qingdao,Qingdao 266000,China)
Abstract:New sub-T1 and sub-T2 axioms are introduced in I-fuzzy topological spaces.Some properties of the new separation axioms are investigated.For example,they are hereditary and product invariant,and the limit of molecular nets is sole.In addition,we make a comparison the relation between the sub-separation axioms defined in the paper and other separation axioms.
Keywords:I-fuzzy Topology  Sub-T1  Tub-T2  Quasi-coincident  
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