Methodical aspects problems of harmonization of interests within the framework of the challenge of the selection of the strategic priorities of regional development

The article explores the problem of forming strategies for the development of territorial socioeconomic systems based on the interaction of differentlevel economic agents. The study proposes the development of a model tool for territorial development based on the formalization of the principles of interaction between different-level economic agents and the mechanisms for managing their behavior with a view to forming an agreed vector of strategic development of territorial socio-economic systems. A general scheme for the functioning of the territorial socio-economic system from the point of view of forming and realizing the interests of agents is proposed, and key stages of this process are highlighted. The characteristics that make it possible to classify interests are considered. The review of approaches to the coordination of interests of economic agents is carried out, their opportunities and restrictions are revealed.A conceptual model of coordinating the interests of economic agents based on ranking the priority and degree of realization of the key interests of agents using the fuzzy logic apparatus is proposed and allows to formulate an acceptable set of solutions of varying degree of consistency («soft» solutions) in the situation when counterparts can not reach an unequivocally agreed decision. Within the framework of implementation of fuzzy logic methods, appropriate linguistic variables and interval values are proposed to determine these terms. An approach is proposed to determine the degree of coherence of counterparties’ interests. Based on the results of assessing the level of coherence of interests of economic agents, two decisions can be obtained: 1) the level of coherence of interests is sufficient for the realization of interests; 2) the level of coherence of interests is insufficient and requires the adjustment of some parameters. The most interesting is the option, implying the formation of concessions, since it is in this case that there is a direct coordination of the interests of economic agents. The criteria for the formation of the corresponding fuzzy rules are proposed. The implementation of this algorithm will allow to obtain a pair of coordinated interests of agents by forming mutual concessions or to reveal the impossibility of such a solution to the problem.