When an operator gives a unique generalized topology

In topology, we found enough literature on topological operators but in general-ized topology, there is only µ-interior, µ-closure, and µ-boundary operator. In this article, we explore different types of operators like µ-derived set operator, µ-exterior operator, µ-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.