Densely homogeneous fuzzy spaces

Samer Al Ghour (Jordan University of Science and Technology)

International Journal of Electrical and Computer Engineering
Vol 9, No 4: August 2019

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.