Abstract. This paper is an attempt to study and introduce the notion
of !-dense set in weak structures and the notion of m-dense set in minimal
structures. We have also investigate the relationships between !-dense
sets, m-dense sets, (!) sets, (!) sets, r(!) sets, (!) sets, m-semiopen
sets and m-preopen sets. Further we give some representations of the
above generalized sets in minimal structures as well as in weak structures.