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L上加细的拓扑共生结构的象和逆象 被引量：1

Image and Inverse Image of Refinement of Syntopogenous Structure on L
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摘要 定义L上加细的半拓扑生成序在GOH下的象和逆象,研究L上加细的拓扑共生结构的象和逆象,得到一些重要性质。 In this paper, first image and inverse image of refinement of semi-topogenous order on L (have) been defined by GOH. Second, the image and inverse image of refinement of syntopogenous (structure) on L have been researched. Some important propoties have been obtained.
作者 汪红
机构地区 西南科技大学理学院
出处 《模糊系统与数学》 CSCD 2004年第2期53-56,共4页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(69803007)
关键词 拓扑共生结构 加细 GOH 象和逆象 Syntopogenous Structure, Refinement GOH Image and Inverse Image
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献8

  • 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.
  • 7汪红.完全分配格上拓扑生成序的加细及其性质(英文)[J].模糊系统与数学,1999,13(4):34-37. 被引量：1
  • 8Wang H. The refinement of syntopogenous structure on completely distributive lattice[J]. BUSEFAL,1998,74:26～30.

同被引文献8

  • 1Katsaras A K. Fuzzy syntopogenous structures compatible with Lowen fuzzy uniformities and Artieo-Moreseo fuzzy proxlmities[J]. Fuzzy Sets and Systems, 1990,36 : 375- 393.
  • 2Sostak A P. On a fuzzy topological structures[J]. Suppl. Rend. Circ. Mat Palermo Ser. II, 1985,11 : 89- 103.
  • 3Artieo G, Moreseo R. Fuzzy proximities, and totally bounded fuzzy uniformities[J]. Math. Anal. Appl. , 1984,99: 320-337.
  • 4Hutton B. Uniformities on fuzzy topological space[J]. Math. Anal. Appl. , 1977,58:559-571.
  • 5Katsaras A K. Operations on fuzzy syntopogenous structure[J] Fuzzy Sets and Systems, 1991,47:199-217.
  • 6Liu Y M. Pointwise characterization of completely regularity and imbedding theorem in fuzzy topological space[J]. Sci. Sinica Ser. A, 1983,26: 138- 147.
  • 7Mo Z W, Su L. Syntopogenous structure on completely distributive lattice and its connectedness[J]. Fuzzy Sets and Systems, 1995,72 : 365-371.
  • 8Wang H. On fuzzy syntopogenougs structure[J]. The Journal of Fuzzy Mathematics, 2009,7(3): 673-678.

引证文献1

模糊系统与数学
2004年 第2期

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