The article aims to present a method of specialties cases management based on models of system evolution within the frame-work of a pilot projectin institutions of professional pre-higher and higher education of Ukraine for the training of specialists in the dual form of education. The obtained data allowed determining that the methodology of project management can be successfully implemented in Ukrainian dual education. However, the Ukrainian system of dual education still lacks many elements, and some of them cannot be reproduced in the national environment, because the student himself can choose a form of education. The article pre-sents a simulation of the dual education system evolution in a specific specialty in the form of a multicriterial optimization problem. Well-known McKinsey model is adapted to determine the variant of the strategy for managing the dual education system. With the help ofsuch model, the specialties of the educational institution were ranked as candidates for investment according to the criterion of future profit. The trajectory of the specialty evolution has been developed by means of the method for assessing of qualitative factors, such as the attractiveness of the labor market and the competitive status of the educational institution. The inclusion of the specialty evolution trajectory in the integral criteria of the McKinsey model, made it possible to not onlyestablisha competitive sta-tus for the current period, but also extrapolate it without significant changes to the entire strategic period to predict the competitive status of a particular specialty. It is proposed to apply a decision support system based on the useof an apparatus of fuzzy sets and fuzzy logic to formalize decision-making in an intelligent system. The using of the fuzzy logic apparatus made it possible to adjust and clarify the strategic positions of each business unit of the dual education project portfolio. Thus, a significant practical effect was obtained, since the using of this fuzzy system allows to quickly assessingthe forecast positions of dual education projects, to evaluate the future competitive status of the educational product and the management strategy of this project