\(\delta_p\)-almost compactness for fuzzy topological spaces (Q1572800)

The authors introduce a type of covering property for fuzzy sets and fuzzy topological spaces, termed \(\delta_p\)-almost compactness. A good number of characterizations of the concept has been established in the paper via several approaches and using different appliances developed therein. Although the \(\delta\)-preopen sets -- the fuzzy open like sets used here, do not form a fuzzy topology, it is interesting to notice that most of the characterizations of quasi H-closed sets in general topology can be extended to the case of \(\delta_p\)-almost compact fuzzy sets. Finally, the authors show that a fuzzy \(\delta_p\)-almost compact space is fuzzy almost compact but not conversely, while a condition is laid down under which the converse holds.