Certain prominence of partially Qα-compact fuzzy sets

Abstract

In this paper, we define notions of partially Qα-cover, shortly pQα-cover and partially Qα-compact, shortly pQα-compact fuzzy sets. Also, we established some theorems about our notion in fuzzy topological spaces, fuzzy subspaces, fuzzy T₁-spaces and fuzzy T₂-spaces (Hausdorff spaces) and various prominence in fuzzy topological spaces. Finally, we shown that our notion does not satisfies “good extension” property.