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...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Fuzzy sets and systems Ročník 125; číslo 2; s. 153 - 161
Hlavní autoři: Xiao, Jianzhong, Zhu, Xinghua
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 16.01.2002
Témata:
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
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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