Summary: In topology, we found enough literature on topological operators but in generalized topology, there is only \(\mu\)-interior, \(\mu\)-closure, and \(\mu\)-boundary operator. In this article, we explore different types of operators like \(\mu\)-derived set operator, \(\mu\)-exterior operator, \(\mu\)-preboundary operator in generalized topology. We have shown that any operator can be developed as the above operators impose certain conditions, giving a unique generalized topology in each case.