Homogeneous Components of a CDH Fuzzy Space

We prove that fuzzy homogeneous components of a CDH fuzzy topological space  (X,T) are clopen and also they are CDH topological subspaces of its 0-cut topological space (X,T0). 

Fuzzy n-s-homogeneity and fuzzy weak n-s-homogeneity

Fuzzy n-s-homogeneity and fuzzy weak n-s-homogeneity are introduced in fuzzy bitopological spaces. Several relationships, characterizations and examples related to them are given

Densely homogeneous fuzzy spaces

We extend the concept of being densely homogeneous to include fuzzy topological spaces. We prove that our extension is a good extension in the sense of Lowen. We prove that a-cut topological space (X,I_a) of a DH fuzzy topological space (X,I) is DH in general only for a=0

Local homogeneity in fuzzy topological spaces

Three types of local homogeneity in L-topological spaces are introduced and studied, and each is characterized and proved to be a good extension of local homogeneity in ordinary topological spaces. Many implications concerning them are introduced. The study deals with the L-topologically generated topological spaces