Distributed Event-Based Systems (DEBS) provide a versatile solution for asynchronously exchanging data in a distributed system, loosely-coupled in space and time. In this work, the software architecture of a DEBS is composed of an overlay network of brokers that are responsible for routing data from producers to consumers. Important issues are the cost (in terms of exchanged messages) of the installation of routing filters (for advertisements and subscriptions) on the brokers, and the cost of routing notifications. In this work, we extend the usage of the concept of scope to propose the concept of multiscoping: the overlay of brokers is logically structured according to several dimensions (geographic location, network characteristics, client membership, etc.) with visibility filters installed at scope boundaries; these overlays are superposed; clients connect to brokers and express their scoping requirements on these dimensions; and distribution of notifications is controlled both by visibility and routing filters.