DECOMPOSITION METHODS AS A BASIS FOR AGGREGATION

Sapogov Alexander Aleksandrovich

The analysis and modeling of complex systems involves the use of decomposition methods and subsequent aggregation of the resulting information. Decomposition, in its broadest sense, is used to decompose multidisciplinary systems into subsets of lesser complexity that can be interpreted and analyzed. As part of the next stage of scientific knowledge, aggregation synthesizes these sectoral subsets into a coherent system structure with a higher level of organization, thereby helping to identify new interrelations within the system. These methodological approaches are not simply methods, but key models of interaction for understanding the fundamental mechanisms underlying the operation of complex systems. Decomposition makes it possible to identify important indicators that exert the desired influence on the overall system's performance. Information aggregation, in turn, provides opportunities to emulate the interactions of these indicators, allowing us to reflect their interdependence. Thus, this integrated approach generally reflects the path of scientific knowledge. However, despite the fact that these methods are implemented in various practical fields, ranging from economics, engineering, and management to innovative environmental and bioinformatics research, the working methods themselves (formulas, methodologies) differ significantly. For example, in economics, the decomposition of macroeconomic indicators, for example, is often based on expert assessments (dividing them into sectors, blocks, levels, etc.), while aggregation is used to create models linking complex and nonlinear relationships between economic indicators. In management, decomposition is used to decompose a management system into sublevels to obtain qualitative indicators of the managed system, while aggregation is used to model the dynamics of management results and assess the quality of the system as a whole. In any case, regardless of the application, objective aggregation is impossible without reliable information, much of which is obtained using decomposition methods.

Keywords:decomposition, aggregation, scientific research, methodology147