International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 892826, 11 pages
doi:10.1155/2009/892826
Research Article

Connectedness Degrees in L-Fuzzy Topological Spaces

Fu-Gui Shi

Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China

Received 6 July 2009; Accepted 3 December 2009

Academic Editor: Naseer Shahzad

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.

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.