Currently, there is a transition to a new stage of globalization – informational-digital one. It is not deglobalization that is taking place, but the formation of a globally-digital neo-economy, in which the previous historical types of economic relationships are transformed into forms of digital flows and are subordinated to them. Under conditions of the genesis of neo-economics, it is becoming increasingly urgent to improve the efficiency of international digital flows (IDF)-management both in economic and social aspects. At the same time, the global level of governance is contradictory to other descending social levels. The problem of global economic efficiency is complicated by the modern imperatives of digital sovereignty, which is especially evident in the context of geopolitical and regional conflicts. The formalization of the analysis does not eliminate the causes of conflicts, but allows for a fuller understanding their mechanisms and ways of overcoming. In this regard, a model of morphological synthesis and ranking of alternatives of the IDF-flows managing tools based on a fuzzy multi-attribute selection system is presented. The model provides an opportunity to effectively take into account the multidirectional and mutually compensating aspects of digital flow management.