期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

L-SLLSC同构L-SSC 被引量：2

L-SLLSC isomorphic to L-SSC
下载PDF
导出
摘要 对层次满层L-收敛空间引入了强左连续条件,证明了强左连续的层次满层L-收敛空间范畴:可以反射嵌入到层次满层L-收敛空间范畴;恰好可以刻画强满层L-收敛空间范畴。 For levelwise stratified L -convergence spaces, a strong left-continuous condition is introduced. Then it is proved the category of strong left-continuous levelwise stratified L-convergence spaces：can reflectively embed into the category of levelwise stratified L-convergence spaces;and can describe the category of strong stratified L-convergence spaces rightly.
作者 李令强 金秋 王丽华 汤建钢
机构地区 伊犁师范学院数学与统计学院 聊城大学数学科学学院
出处 《计算机工程与应用》 CSCD 2014年第4期33-35,151,共4页 Computer Engineering and Applications
基金 新疆维吾尔自治区普通高校重点学科经费资助(No.2012ZDXK25)
关键词 模糊拓扑 强满层L-收敛空间 层次满层L-收敛空间 强左连续 同构 fuzzy topology strong stratified L -convergence space levelwise stratified L -convergence space strong left-continuity isomorphism
分类号 O189.1 [理学—基础数学]
  • 相关文献

参考文献15

  • 1Jager G.A category of L-fuzzy convergence spaces[J].Quaes- tiones Mathematicae, 2001 (24) : 501-517.
  • 2Preuss G.Foundations of topology[M].London: Kluwer Academic Publishers, 2002.
  • 3Hohle U, Sostak A P.Mathematics of fuzzy sets, logic, to- pology and measure theory[M].Boston: Kluwer Academic Publishers, 1999.
  • 4Jager G.Pretopological and topological lattice-valued con- vergence spaces[J].Fuzzy Sets and Systems, 2007, 158: 424-435.
  • 5Yao Wei.On many-valued stratified L-fuzzy convergence spaces[J].Fuzzy Sets and Systems, 2008,59:2503-2519.
  • 6Li Lingqiang,Jin Qiu.On adjunctions between Lim, SL-Top, and SL-Lim[J].Fuzzy Sets and Systems,2011,182:66-78.
  • 7Li Lingqiang,Jin Qiu.On stratified L-convergence spaces: Pretopological axioms and diagonal axioms[J].Fuzzy Sets and Systems, 2012,204 : 40-52.
  • 8Fang Jinming.Stratified L-ordered convergence structures[J]. Fuzzy Sets and Systems,2010,161:2130-2149.
  • 9Jager G.Gahler's neighbourhood condition for lattice-valued convergence spaces[J].Fuzzy Sets and Systems,2012,204: 27-39.
  • 10Flores P V, Mohapatra R N, Richardson G.Lattice-valued spaces: Fuzzy convergence[J].Fuzzy Sets and Systems, 2006, 157 : 2706-2714.

二级参考文献9

  • 1Zadeh L.Fuzzy sets[J].Information and Control,1965,8:338-353.
  • 2Hohle U.Fuzzy real numbers as Dedekind cuts with respect to a multiple-valued logic[J].Fuzzy Sets and Systems, 1987,24(3): 263-278.
  • 3Adamek J, Herrlich H, Strecker G E.Abstract and concrete cate-ories[M].New York: Wiley, 1990.
  • 4Hohle U.Many valued topology and its applicafions[M].Boston: Kluwer Academic Publishers, 2001.
  • 5Li Lingqiang,Zhang Dexue.On the relationship between limit spaces, many valued topological spaces and many valued preordered sets[J].Fuzzy Sets and Systems,2009,160(9) : 1204-1217.
  • 6Zhang Dexue.An enriched category approach to many valued topology[J].Fuzzy Sets and Systems,2007,158(4):349-366.
  • 7Kent D C, Richardson G D.Convergecne spaces and diagonal conditions[J].Topology and its Applications, 1996,70:167-174.
  • 8Jager G.Pretopological and topological lattice-valued conver- gence spaces[J].Fuzzy Sets and Systems,2007,158(4):424-435.
  • 9李令强,金秋.多值滤子及其应用[J].山东大学学报（理学版）,2007,42(12):29-32. 被引量：6

共引文献2

同被引文献15

  • 1Jager G.A category of L-fuzzy convergence spaces[J]. Quaestiones Mathematicae, 2001,24:501-517.
  • 2Preuss G.Foundations of topology[M].London: Kluwer Aca- demic Publishers, 2002.
  • 3Htihle U,ostak A P.Mathematics of fuzzy sets,logic, topology and measure theory[M].Boston: Kluwer Academic Publishers, 1999.
  • 4Jiger G.Pretopological and topological lattice-valued con- vergenee spaces[J].Fuzzy Sets and Systems, 2007, 158: 424-435.
  • 5Yao W.On many-valued stratified L-fuzzy convergence spaces[J].Fuzzy Sets and Systems, 2008,59: 2503-2519.
  • 6Li L Q,Zhang D X.On the relationship between limit, spaces, many valued topological spaces, and many valued preorders[J].Fuzzy Sets and Systems,2009,160: 1204-1217.
  • 7Li L Q, Jin Q.On adjunctions between Lim, SL-Top, and SL-Lim[J].Fuzzy Sets and Systems, 2011,182 : 66-78.
  • 8Li L Q,Jin Q.On stratified L-convergence spaces:preto- pological axioms and diagonal axioms[J].Fuzzy Sets and Systems, 2012,204 : 40-52.
  • 9Li L Q,Jin Q.P-topologicalness and p-regularity for lat- tice-valued convergence spaces[J].Fuzzy Sets and Sys- tems, 2014,238 : 26-45.
  • 10Li L Q, Jin Q.Lattice-valued convergence spaces: weaker regularity and p-regularity[J].Abstract and Applied Anal- ysis,2014,2014.

引证文献2

计算机工程与应用
2014年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部