In this note we study some results on the concepts of alpha-supracompa
ctness and alpha-supracompactness in a fuzzy supratopological space.
We introduce the notions of Hausdorffness and alpha-Lindelofness in a
fuzzy supratopological space and characterize their properties in term
s of alpha-supracompactness. We also introduce and study the concept o
f fuzzy supra regular space.