| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 391062 | Fuzzy Sets and Systems | 2007 | 8 Pages |
Abstract
In this paper, we prove that an L-topological vector space is locally convex (locally bounded) iff its induced I(L)-topological vector space is locally convex (locally bounded), where I(L) is the L-fuzzy unit interval. Also, we give a necessary and sufficient condition for the induced I(L)-topological vector space to be I(L)-fuzzy normable.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
