An approach to solving the problem of justifying a project for the development of a complex system, taking into account the possibility of realizing the values of its characteristics and the presence of restrictions on their values is proposed . The general goal is formulated in terms of the theory of fuzzy sets and the theory of possibilities. Based on the global development goal of a complex system, local goals and objectives are determined. The problem of taking into account factors influencing the achievement of a global goal is considered. Achieving the general goal is associated with taking into account restrictions on the values of system indicators, as well as the need to determine their optimal values. Unlike existing models, the proposed approach allows us to consider a more general relationship between the elements of the system and take into account the fuzzy nature of the implementation of the parameters. To solve this problem, an effective decomposition method has been developed.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production