SEPARATION OF FUZZY NORMED LINEAR-SPACES

被引：126

作者：

KRISHNA, SV ^{[1
]}

SARMA, KKM ^{[1
]}

机构：

[1] ANDHRA UNIV,DEPT MATH,WALTAIR 530003,ANDHRA PRADESH,INDIA

来源：

FUZZY SETS AND SYSTEMS | 1994年 / 63卷 / 02期

关键词：

FUZZY VECTOR TOPOLOGY; FUZZY NORM; SEPARATION; FUZZY CONTINUITY; QUOTIENT FUZZY NORM;

D O I：

10.1016/0165-0114(94)90351-4

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with Hausdorff separation axiom for fuzzy topological spaces. The necessary and sufficient condition obtained in the fuzzy vector topology induced by a fuzzy norm is separated. Properties of separated and non-separated fuzzy norms along with examples are studied. Separation of a fuzzy norm in terms of the ordinary norm it induces and its consequences are characterised. Separation of quotient fuzzy semi-norm is studied.

引用

页码：207 / 217

页数：11

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