International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 892826, 11 pages
doi:10.1155/2009/892826
Connectedness Degrees in L-Fuzzy Topological Spaces
Fu-Gui Shi
Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract
The notion of separatedness degrees of L-fuzzy subsets is introduced in L-fuzzy topological spaces by means of L-fuzzy closure operators. Furthermore, the notion of connectedness degrees of L-fuzzy subsets is introduced. Many properties of connectedness in general topology are generalized to L-fuzzy topological spaces.