\(\alpha\)-compactness in bifuzzy topological spaces (Q908536)

Some new results about \(\alpha\)-compact bifuzzy topological spaces [defined by Mashour et al., Bifuzzy topological spaces (to appear)] are obtained. Semi \(\alpha\)-compact bifuzzy topological spaces are introduced and studied. Pairwise \(\alpha\)-almost compact and semi \(\alpha\)-almost compact bifuzzy topological spaces are defined. Some results about regular pairwise (or semi) \(\alpha\)-compact fuzzy topological spaces are given. The notions of a twice \(\theta\) F-continuous function and a twice almost fuzzy continuous function are introduced.