FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

被引：0

作者：

Jiang, S. Q. ^{[1
]}

Yan, C. H. ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210046, Jiangsu, Peoples R China

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2009年 / 6卷 / 03期

关键词：

I-topological vector space; Fuzzy bounded set; Totally fuzzy bounded set; N-compact set; COMPACTNESS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new definition of fuzzy bounded sets and totally fuzzy bounded sets is introduced and properties of such sets are studied. Then a relation between totally fuzzy bounded sets and N-compactness is discussed. Finally, a geometric characterization for fuzzy totally bounded sets in I-topological vector spaces is derived.

引用

页码：73 / 90

页数：18

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