Induced I(L)-fuzzy topological vector spaces

被引：6
|
作者：
Fang, JX [1 ]
Yan, CH [1 ]
机构：
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2001年 / 121卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fuzzy unit interval; induced I(L)-fuzzy topology; L-fuzzy topological vector spaces; induced I(L)-fuzzy topological vector spaces;
D O I：
10.1016/S0165-0114(00)00037-3
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we introduce and study the induced I(L)-fuzzy topological vector spaces. The following main result is proved: If (L-X, delta) is an L-fuzzy topological vector space, then (I(L)(X), omega (I(L))(delta)) is an I(L)-fuzzy topological vector space, where I(L) is the fuzzy unit interval and omega (I(L))(delta) is the induced I(L)-fuzzy topology of the L-fuzzy topology delta. Furthermore, we also prove that the induced I(L)-fuzzy topological vector spaces (I(L)(X), omega (I(L))(delta)) preserve the product and quotient space as well. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：293 / 299
页数：7
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