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L-fuzzy闭包系统和L-fuzzy弱邻域算子 被引量：1

L-fuzzy closure systems and L-fuzzy weak neighborhood operators
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摘要 进一步研究L-fuzzy闭包系统,运用一一对应的思想和范畴论的方法研究了确定L-fuzzy闭包系统的另一种方法.设X是集合,L是Hutton代数,首先介绍了L-fuzzy弱邻域算子和它们的L-fuzzy连续映射,然后设L-FCSS是L-fuzzy闭包系统空间和它们的L-fuzzy连续映射构成的范畴,L-FWNS是L-fuzzy弱邻域算子空间和它们的L-fuzzy连续映射构成的范畴,证明了L-FCSS和L-FWNS是同构的. To further study L-fuzzy closure system.Another determination of L-fuzzy closure systems are studied with thehelp of idea of one-to-one correspondence and method of category.Let X be a set.L a Hutton algebra,we first introduce definitions of L-fuzzy weak neighborhood operators and their L-fuzzy continuous mappings.Then let L-FCSS be the category L-fuzzy closure system spaces and their L-fuzzy continuous mappings,L-FWNS be the category L-fuzzy weak neighborhood spaces and their continuous mappings,it mainly gives that L-FCSS is isomorphic to L-FWNS
作者 王新奇
机构地区 西安文理学院数学系
出处 《云南大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第5期507-510,共4页 Journal of Yunnan University(Natural Sciences Edition)
基金 教育部科学技术研究重点项目(209152)资助
关键词 L-fuzzy闭包系统 L-fuzzy弱邻域算子 范畴 L-fuzzy closure systems L-fuzzy weak neighborhood operators category
分类号 O189.1 [理学—基础数学]
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参考文献12

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共引文献10

同被引文献11

  • 1Biacino L. GerIa G. Closure Systems and LSubalgebras[J]. Inf Sci. 1984. 33(3): 181-195.
  • 2Biacino L, Geria G. An Extension Principle for Closure Operators[J].J Math Anal Appl , 1996. 18(1): 1-24.
  • 3GerIa G. Graded Consequence Relations and Fuzzy Closure Operators[J].J Appl Non-classical Logics. 1996. 6(4): 369-379.
  • 4FANGJinming. YUE Yueli. L-Fuzzy Closure Systems[J]. Fuzzy Sets and Systems. 2010. 161(9): 12:12-1252.
  • 5SHIFugui. I.-Fuzzy Interiors and L-FuzzyClosures[J]. Fuzzy Sets and Systems. 2009.160(9): 1218-1232.
  • 6ZHAO Hu. LI Shenggang , CHEN Guixiu. (L.M)-Fuzzy Topological Groups[J].Journal of Intelligent and Fuzzy Systems. 20]4. 26(3): 1517-1526.
  • 7ZHAO Hu , LI Shenggang , CHEN Guixiu. Further Study on (L, M)-Fuzzy Topologies and (L, M)-Fuzzy Neighborhood Systems[J]. IranianJournal of Fuzzy Systems. 2014. 11(3): 109-123.
  • 8LIU Yingrning , LUO Maokang. Fuzzy Topology[M]. Singapore: World Scientific Publishing. 1997 .
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  • 10安军龙,赵虎,李生刚.L-闭包系统的确定[J].纺织高校基础科学学报,2010,23(2):132-136. 被引量：2

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云南大学学报（自然科学版）
2011年 第5期

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