L‐fuzzifying topological vector spaces | Zendy

Cong-hua Yan | Zendy; Congxin Wu | Zendy

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L‐fuzzifying topological vector spaces

Author(s) -

Cong-hua Yan,

Congxin Wu

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2081

Subject(s) - mathematics , topological space , topological tensor product , topological vector space , locally convex topological vector space , vector space , distributive property , category of topological spaces , pure mathematics , characterization (materials science) , lattice (music) , topology (electrical circuits) , functional analysis , combinatorics , biochemistry , chemistry , materials science , physics , acoustics , gene , nanotechnology

The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of L-fuzzifying topological vector spaces is topological over the category of vector spaces is proved

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