FNS is not isomorphic to FTS

被引：1

作者：

Li, SJ ^{[1
]}

Luo, MK

机构：

[1] Tsing Hua Univ, Dept Comp Sci & Technol, State Key Lab Intelligent Technol & Syst, Beijing 100084, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2003年 / 136卷 / 01期

基金：

国家教育部科学基金资助; 中国国家自然科学基金; 美国国家科学基金会;

关键词：

topological construct; bireflective subconstruct; bicoreflective subconstruct; stable subconstruct; fuzzy neighborhood space; fuzzy neighborhood base space;

D O I：

10.1016/S0165-0114(02)00144-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we show that there are exactly c different simultaneously bireffective and bicoreflective subconstructs of FNS, in fact there exists a one-to-one correspondence between those subconstructs of FNS and open sets of (0,1). We also prove that FNS and FNBS are mutually complemented in the complete lattice of simultaneously bireflective and bicoreflective subconstructs of FTS. As a result we get that FNS is not isomorphic to FTS. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：127 / 131

页数：5

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