In the present paper, we continue studying generalized fuzzy soft topological
spaces. We first introduce generalized fuzzy soft p−cover and utilize it to define
a new type of generalized fuzzy soft compact topological spaces so-called a generalized
fuzzy soft p∗−compact topological spaces which is a generalization of compactness in
fuzzy soft topological spaces in [27]. In fact, a generalized fuzzy soft p∗−compact topological space is more general than generalized fuzzy soft compact spaces in [17]. In
general, we investigate some basic results, relations and properties of generalized fuzzy
soft p∗−compact space and provide some illustrative examples.