Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10324343 | Fuzzy Sets and Systems | 2005 | 12 Pages |
Abstract
The notions of open and proper maps are introduced in the category FCS of fuzzy convergence spaces and each is shown to be an extension of the same notion with respect to the embedding functor from the category PCS of probabilistic convergence spaces. Proper maps in FCS are shown to be productive and, moreover, preserve closures of fuzzy sets, regularity and local precompactness. All projection maps in FCS are open and open maps are finitely productive.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
G. Richardson, Q. Xue, J. Zhang,