Copyright © 2011 M. E. El-Shafei and A. H. Zakari. 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.
We investigate various classes of generalized closed fuzzy sets in -topological spaces, namely, -closed fuzzy sets and -closed fuzzy sets. Also, we introduce a new separation axiom of the -topological spaces, and we prove that every -space is a -space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings.