Fuzzy convergence: open and proper maps
Abbreviated Journal Title
Fuzzy Sets Syst.
fuzzy maps; fuzzy convergence; probabilistic convergence; TOPOLOGICAL-SPACES; COMPACTNESS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability
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. (c) 2004 Elsevier B.V All rights reserved.
Fuzzy Sets and Systems
"Fuzzy convergence: open and proper maps" (2005). Faculty Bibliography 2000s. 5594.