The notion of $\delta$-open sets in a topological space was studied by Velicko. Usha Parmeshwari et al. and Indira et al. introduced the concepts of $b^{\#}$ and $*b$ open sets respectively. Following this Ekici et al. studied the notions of $e$-open and $e$-closed sets by mixing the closure, interior, $\delta$-interior and $\delta$-closure operators. In this paper some new sets namely $e^{\#}$-open and $*e$-open sets are defined and their relationship with other similar concepts in topological spaces will be investigated.