This paper deals with some applications of fuzzy $\alpha$-$b$-open set. Here we introduce fuzzy $\alpha$-$b$-almost compactness and characterize this concept via fuzzy net and prefilterbase. Also we introduce fuzzy regularly $\alpha$-$b$-open set which characterizes fuzzy $\alpha$-$b$-almost compactness. It is shown that fuzzy $\alpha$-$b$-almost compactness implies fuzzy almost compactness and the converse is true only on fuzzy $\alpha$-$b$-regular space.