Problem of the Development of Methodology of Mathematical modeling of Problems of Forecasting and Managing the Development of Complex Systems
In the article the problem of development of methodology of mathematical support of the situational approach to the development of systems support management decision making in the management and forecasting of complex objects is considered. The article provides a description of the situational approach to managerial decision making in the management of objects and processes of different nature. It analyzes the problems that arise in the mathematical modeling of technology adoption decisions in the management and forecasting of development of objects and processes of great complexity. It describes several approaches to the modeling of complicated objects and processes. Is it based on the analysis of the main stages of the decision process which identifies the discrepancies in the formal description of the quality management process for objects of different nature. On this basis the conclusion about the necessity of forming unified theoretical framework for formal modeling of objects and processes of different nature as a hierarchy of description languages is made. The analysis of interrelations of the main accepted types of languages describe the situation of governance, which concludes that the language of the theory of lattices and the theory of categories can be seen as generalizing the basic classification of languages formal language form.