A note on specialization L-preorder of L-topological spaces, L-fuzzifying topological spaces, and L-fuzzy topological spaces

被引：13
|
作者：
Yao, Wei [1 ,2 ]
Shi, Fu-Gui [2 ]
机构：
[1] Hebei Univ Sci & Technol, Dept Math, Shijiazhuang 050054, Hebei, Peoples R China
[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 19期
关键词：
topology; category theory; spatial frame; L-preorder; L-topology; L-fuzzifying topology; L-fuzzy topology; Galois correspondence;
D O I：
10.1016/j.fss.2008.03.023
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
It is shown that, for any spatial frame L (i.e., L is a complete lattice generated by the set of all prime elements), both the specialization L-preorder of L-topological spaces introduced by Lai and Zhang [Fuzzy preorder and fuzzy topology, Fuzzy Sets and Systems 157 (2006) 1865-1885] and that of L-fuzzifying topological spaces introduced by Fang and Qiu [Fuzzy orders and fuzzifying topologies, Internat. J. Approx. Reasoning 48 (2008) 98-109] are special cases of that of L-fuzzy topological spaces introduced by Fang [l-fuzzy Alexandrov topologies and specialization orders, Fuzzy Sets and Systems 158 (2007) 2359-2374]. (C) 2008 Elsevier B.V. All rights reserved.
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页码：2586 / 2595
页数：10
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