We deepen the study of two known neighborhood structures, which
here will be called f⋅k-neighborhood structures and f⋅q-neighborhood structures, in the context of Šostak fuzzy
topological spaces. In particular, we characterize fuzzy
topologies by f⋅k-neighbor-hood structures. Moreover we introduce and discuss the notions of
f⋅k-neighborhood prestructure and f⋅m-neighborhood structure in the same context. At last we prove that the three
neighborhood structures mentioned above are equivalent.