L-fuzzifying拓扑空间范畴和可延L-fuzzy拓扑空间范畴的Galois联络  

A Galois Correspondence Between L-FYS and EL-FTOP

作　　者：方进明[1] 陈芳芳[1] 

机构地区：[1]中国海洋大学数学科学学院,山东青岛266071

出　　处：《模糊系统与数学》2011年第3期42-47,共6页Fuzzy Systems and Mathematics

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。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.

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

分 类 号：O189[理学—数学]