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L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴的Galois联络
引用本文:方进明,陈芳芳.L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴的Galois联络[J].模糊系统与数学,2011,25(3).
作者姓名:方进明  陈芳芳
作者单位:中国海洋大学数学科学学院,山东青岛,266071
摘    要:在完全分配格的格值环境下,提供了L-fuzzifying拓扑结构和可延L-fuzzy拓扑结构相互转化的方法。还进一步研究了L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴之间的关系。文中结果表明,L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴之间存在Galois联络。

关 键 词:完全分配格  L-fuzzifying拓扑  可延L-fuzzy拓扑  Galois联络  

A Galois Correspondence Between L-FYS and EL-FTOP
FANG Jin-ming,CHEN Fang-fang.A Galois Correspondence Between L-FYS and EL-FTOP[J].Fuzzy Systems and Mathematics,2011,25(3).
Authors:FANG Jin-ming  CHEN Fang-fang
Affiliation:FANG Jin-ming,CHEN Fang-fang(School of Mathematics Science,Ocean University of China,Qingdao 266071,China)
Abstract:In this paper,our purpose is twofold.First,we give the method for transformation between L-fuzzifying topology and extensional L-fuzzy topology,where L is a completely distributive lattice.Second,it is showed that there is a Galois correspondence between L-FYS and EL-FTOP.
Keywords:Completely Distributive Lattice  L-fuzzifying Topology  Extensional L-fuzzy Topology  Galois Correspondence  
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