A lot of problem situations arise in our everyday life, that worsen quality of life, reduce labor productivity. Modern science does not have decision-making technologies in problem situations under conditions of uncertainty, when the subjects themselves need to decide what to do, and not how to do it. The only theory that proposes actors a new approach to managing the problem situations solving is the theory of intersubjective management, proposed at the beginning of the XXI century. The fundamental difference between intersubjective management and classical one is that management functions are assigned to people themselves, immersed in a problem situation and actively acting (actors). In the process of decision making in a problem situation actors need methodological and informational support. For this purpose, a decision support system is developed that uses methods and tools of slightly formalized subject areas. When choosing models, methods and tools that support actors in the process of problem situation solving, the features of the group decision-making process in intersubjective management are taken into account. The choice of methods for application by actors is also influenced by the subjective component, i. e. their personal characteristics and preferences, knowledge, and skills. Decision support system design is based on the Nonaka-Takeuchi knowledge management model.