In this paper we introduce some new classes of generalized closed sets called *λµ -g-closed, *λµ -g µ -closed and g* λµ -closed sets in generalized topological spaces, which are related to the classes of gµ -closed sets, g-λµ -closed sets and λµ -g-closed sets. We investigate the properties of the newly introduced classes, as well as the connections among the above mentioned classes of generalized closed sets. Also, we give a unified framework for the study of several types of generalized closed sets in a space endowed with two generalized topologies.