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关于生成I(L)-fuzzy拓扑空间问题的研究

Study on Induced I(L)-fuzzy Topological Spaces
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摘要 以生成I(L)拓扑空间为基础,首先引入了Ω_L,I_L等算子及I(L)-fuzzy拓扑空间的概念,其次研究了该拓扑空间的基本性质及算子的相应运算规则,最后讨论了此拓扑空间与I(L)-fuzzy拓扑空间的关系.得到了生成I(L)-fuzzy拓扑空军的相应性质. In this paper, firstly on the basis of induced I(L) - fuzzy topological spaces, through the concepts of induced I(L) - fuzzy topological spaces and the operators ΩL,IL, then the property of I(L) -fuzzy topological spaces and calculation rules of operators were studied. At last, the relationship between induced I(L) - fuzzy topological spaces and I(L) -fuzzy topological spaces was discussed. As the result, the property of I(L) - fuzzy top spaces was given.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第15期208-211,共4页 Mathematics in Practice and Theory
关键词 生成I(L)-fuzzy拓扑 L-FUZZY拓扑 (L)-fuzzy满层空间 Induced I(L) - fuzzy topology L - fuzzy topology Stratified I(L) - fuzzy topology
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参考文献4

  • 1Ge-Ping Wang. Induced I(L) -fuzzy topological spaces[J]. Fuzzy Sets and Systems, 1991(43): 69-80.
  • 2Sums of L-fuzzy topological spaces [J]. Fuzzy Sets and Systems, 2006(157): 739-754.
  • 3Chang C L. Fuzzy topological spaces[J]. J Math Anal Appl, 1968(24): 182-193.
  • 4Yue Yueli, Fang Jinming. Generated I-fuzzy topological spaces[J]. FuzzySets and Systems, 2005(154)! 103-117.

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