In this paper, as an application of fuzzy 𝑔
##
- closed set in fuzzy topological spaces (fts), which is a
class of closed fuzzy set. A fuzzy 𝑔
##
- closed set is obtained by generalizing 𝑔
#
- open fuzzy sets via fuzzy αclosure.We Introduced and investigated some new type of separation axioms namely, 𝑓𝑔##
-Regular Space, 𝑓𝑔
##
-
Tychonoff space, 𝑓𝑔##
-Normal spaces,𝑓𝑔
##
- Completely normal space in fts. The separation axiom provides a
framework where the spaces have enough number of continues mappings. Also we have investigated some of their
properties with counter examples.
