The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $acute{A}$. Cs$acute{a}$sz$acute{a}$r, we introduce unified definitions of ${wedge}_{psi}$-sets, ${vee}_{psi}$-sets, $g{cdot}{wedge}_{psi}$-sets and $g{cdot}{vee}_{psi}$-sets and derive results concerning them.