FUZZY TOPOLOGY GENERATED BY FUZZY NORM

被引：0
|
作者：
Saheli, M. [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran
来源：
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2016年 / 13卷 / 04期
关键词：
Fuzzy norm; Fuzzy topology; locally convex topological vector space; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current paper, consider the fuzzy normed linear space (X, N) which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuzzy topologies.
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页码：113 / 123
页数：11
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