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双模糊拓扑中的分离性

Separation Axioms in Bifuzzy Topological Spaces
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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. 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 To and To is T-1.
出处 《汕头大学学报(自然科学版)》 2007年第2期24-27,共4页 Journal of Shantou University:Natural Science Edition
关键词 邻域系 双F-拓扑 分离性 neighborhood system bifuzzy topology separation axioms
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参考文献4

  • 1Ying M S.A new approach for fuzzy topology,(Ⅰ)[J].Fuzzy Sets and Systems,1991(39):302-321.
  • 2Shen J.Separation axiom in fuzzifying topology[J].Fuzzy Sets and Systems,1993(57):111-123.
  • 3Ying M S.A new approach for fuzzy topology(Ⅱ)[J].Fuzzy Sets and Systems,1992(47):221-232.
  • 4Fang Jin-xuan,Ren Bai-lin.A set of new separation axioms in L-fuzzy topological spaces[J].Fuzzy Sets and Systems,1998(96):359-366.

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