Frame-fuzzy points and membership

β-compactness in L-fuzzy Topological Spaces

“…Warner [17] has determined the prime element of the fuzzy lattice L X . We have Pr(L X ) = {x p : x ∈ X and p ∈ Pr(L)}, where for each x ∈ X and p ∈ Pr(L), x p : X → L is the L-subset defined by…”

Hurewicz spaces and the selectively -grouping property

“…An L-point in X is an L-set x p : X → L, where x ∈ X and p ∈ pr(L), defined by: x p (y) = p if y = x, and x p (y) = 1 otherwise. We say that x p ∈ f if and only if f (x) p, see [17].…”

A note on regular semiopen L-sets and -closed spaces

“…Kudri and Warner [10] introduced S-closedness in L-topological spaces and studied some of its properties. This deÿnition based on the compactness suggested in [17] and extended to arbitrary L-subsets [3]. Kudri [9], along the lines of this compactness, introduced and investigated the concepts of semicompactness and S * -closedness in L-topological spaces.…”