期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.2081
出版社：Hindawi Publishing Corporation
摘要：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.
