Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China
Copyright © 2009 Fu-Gui Shi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The notion of separatedness degrees of -fuzzy subsets is introduced
in -fuzzy topological spaces by means of -fuzzy closure operators. Furthermore, the notion of
connectedness degrees of -fuzzy subsets is introduced. Many properties of connectedness in
general topology are generalized to -fuzzy topological spaces.