In this paper, direct proofs of some properties of new classes of fuzzy sets called fuzzy strongly g∗-closed sets and fuzzy g∗∗-closed sets are introduced. Examples are presented showing that some generalizations can not be obtained. MSC: 54A40 • 54A05

The notion of super weak compactness for subsets Banach spaces is a strengthening the that can be described as local version super-reflexivity. A recent result K. Tu [32] which establishes closed convex hull weakly compact set has removed main obstacle to further development theory. In this paper we provide variety results around in order show great scope notion. We also give non linear charact...