On linearly topological structure and property of fuzzy normed linear space

In this paper, the simplified definition of fuzzy normed linear space is introduced; the different structure of fuzzy normed linear space with variable right norm R is discussed in terms of topological vector space, and its properties such as compactness, completeness and density are studied under m...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 125; no. 2; pp. 153 - 161
Main Authors: Xiao, Jianzhong, Zhu, Xinghua
Format: Journal Article
Language:English
Published: Elsevier B.V 16.01.2002
Subjects:
Fuzzy functional analysis
Fuzzy norm
Fuzzy normed linear space
Fuzzy topology
Fuzzy functional analysis
Fuzzy norm
Fuzzy topology
primary 46S40
secondary 54E99
Fuzzy normed linear space
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:In this paper, the simplified definition of fuzzy normed linear space is introduced; the different structure of fuzzy normed linear space with variable right norm R is discussed in terms of topological vector space, and its properties such as compactness, completeness and density are studied under more general left norm L and right norm R; as application, the linearly topological structure of Menger PN space is obtained.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(00)00136-6