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双F-分离性(Ⅱ) 被引量:1

Bifuzzy separation axioms(Ⅱ)
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摘要 定义了Ti-(i=0,1,2)分离性,给出了它们的一些特征刻画,讨论了它们的关系;通过定义局部基、双F-pseudo闭集族、双F-连续、双F-开、子空间、双F-乘积拓扑空间等概念,进一步研究了它们的性质. Ti- ( i = 0,1,2) separation axioms are defined, their characterizations are given, and their relations are discussed; local basis, bifuzzy pseudo-closed sets, bifuzzy subspaces, fuzzy continuity, fuzzy openness and product bifuzzy topology spaces are introduced and their properties are studied deeply.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第4期44-47,共4页 Journal of Shandong University(Natural Science)
基金 山东省自然科学基金资助项目(Y2000A05)
关键词 双F-拓扑 分离性 子空间 bifuzzy topology separation axioms subspace
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参考文献6

  • 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.
  • 4Ying M S,A new approach for fuzzy topology(Ⅲ)[J].Fuzzy Sets and Systems,1993,55:221~232.
  • 5Fang 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.
  • 6F H Khedr,F M Zeyada,O R Sayed.On separation axioms in fuzzifying topology[J].Fuzzy Sets and Systems,2001,119:439~458.

同被引文献2

  • 1YING M S. A new approach for fuzzy topology( Ⅰ )[J]. Fuzzy Sets and Systems, 1991, 39:302-321.
  • 2KHEDR F H, ZEYADA F M, SAYED O R. On separation axioms in fuzzifying topology[J]. Fuzzy Sets and Systems, 2001, 119: 439- 458.

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