On compact Hausdofff L-fuzzy spaces

On characterizations of some covering properties in L-fuzzy topological spaces in Šostak's sense

“…If g is the whole space X , we say that the L-fts ðX ; TÞ is compact. In the crisp case of T, fuzzy compactness coincides with the compactness introduced by Warner and McLean [24], and extended for arbitrary L-fuzzy sets by Kudri [15].…”

“…A function f : ðX ; T Þ ! L, where L has its Scott topology (topology generated by the sets of the form ft 2 L : tipg where p 2 P r ðLÞ [24]), is said to be Scott continuous iff for every p 2 P r ðLÞ, f À1 ft 2 L : tipg 2 T .…”

β-compactness in L-fuzzy Topological Spaces

“…have been introduced and studied in L-topological spaces, respectively. In this paper, by using these L-fuzzy β-open sets and along the lines of compactness defined by Warner, McLean [16] and Kudri [11], we introduce β-compactness in Ltopological spaces, where L is a fuzzy lattice. β-compactness is a stronger form of compactness [11].…”