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I-fuzzy拓扑空间的次分离公理

Sub-separation Axioms in I-fuzzy Topological Spaces
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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。 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 subseparation axioms defined in the paper and other separation axioms.
出处 《模糊系统与数学》 CSCD 北大核心 2011年第4期66-72,共7页 Fuzzy Systems and Mathematics
关键词 I-fuzzy拓扑 次Tl 次T2 重域 Y-fuzzy Topology Sub-T1 Tub-T2 Quasi-coincident
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  • 1Chang C L., Fuzzy topological spaces[J]. J. Math. Anal. Appl. , 1968,24 : 82 - 193.
  • 2Fang J. I-FTOP is isomorphic to I-FQN and I-AITOP[J]. Fuzzy Sets and Systems, 2004,147 : 317- 325.
  • 3Hohle U, et al. Axiomotie foundations of fixed-basis fuzzy topology[C]//Hohle U, et al. Mathematics of fuzzy ,sets - Logic, topology and measure theory. Bostom, Dordrecht, London : Kluwer Academic Publishers, 1999 : 123 - 272.
  • 4姜翠美,方进明.L-拓扑空间的次分离性公理[J].模糊系统与数学,2007,21(1):12-18. 被引量:5
  • 5Khedr F H, Zeyada F M, Sayed O R. On .separation axioms in fuzzifying topology[J]. Fuzzy Sets and Systems, 2001,119 : 439-458.
  • 6Liu Y M, Luo M K. Fuzzy topology[M]. Singapore : World Sciectific Pubishing, 1997. Boston, Dordrecht,London : Academic Publishers, 1999: 273 - 388 (Chapter 4).
  • 7Shen J. Separation axiom in fuzzlfying topology[J]. Fuzzy Sets and Systems, 1993,57 : 227-238.
  • 8Ying M. A new approach to fuzzy topology(I)[J]. Fuzzy Sets and Systems, 1991,39 : 303-321.
  • 9Yue Y L, Fang J M. On separation axioms in I-fuzzy topological spaces[J]. Fuzzy Sets and Systems,2006,157,780 -793.

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