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完全分配格上拓扑生成序的加细及其性质(英文) 被引量:1

The Refinementof Semi-topogenous Order on Land It's Properties
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摘要 在文[1]中,作者建立了完全分配格上的共生结构的一般理论,研究了余拓扑,拟一致和T结构的一致化结构。本文引进了完全分配格L上半拓扑生成序加细的概念,研究了其性质,得到了一系列重要的结论,为进一步研究完全分配格上拓扑共生结构的加细奠定了基础。 In paper [1],the authors have established the general theory of syntopogenous structures on com pletely distributive lattices. They investigated the unified theory of co- topology,quasi-uniform ity and T-structure. In this paper,the concept ofrefinem ent ofsem i- topogenous order on Lhas been introduced. Som e im portant properties have been obtained. Further,the refine structures of syntopogenous structures on com pletely distributive lattices w illbe researched.
作者 汪红
出处 《模糊系统与数学》 CSCD 1999年第4期34-37,共4页 Fuzzy Systems and Mathematics
关键词 拓扑生成序 完全分配格 加细 共生结构 Topology Order Topogenous Order
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  • 1Chang C L. Fuzzy topological spaces[J]. J.Math.Anal.Appl.,1968,24:182~190.
  • 2Katsaras A K. Ordered fuzzy topological space[J]. J.Math.Anal.Appl.,1981,84:44~58.
  • 3Katsaras A K. On fuzzy syntopogenous structures[J]. Rev.Roumaine Math.Pure Appl.,1985,30:419~431.
  • 4Hutton B. Uniformities on fuzzy topological spaces[J]. J.Math.Anal.Appl.,1977,58:559~571.
  • 5Liu Y M. Pointwise characterization of completely regularity and imbedding theorem in fuzzy topological space[J]. Sci.Sinica Ser.A,1983,26:138~147.
  • 6Mo Z W,Su L. Syntopogenous structure on completely distributive lattice and its connectedness[J]. Fuzzy Sets and Systems,1995,72:365~371.
  • 7Wang H. The refinement of syntopogenous structure on completely distributive lattice[J]. BUSEFAL,1998,74:26~30.

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