This paper addresses the issue of building the methodology of creating the national digital agriculture platform (ecosystem). The problem was to ensure integrating some different strategic approaches when the goals are not clear and many participants have to get an agreement about the paths to the unclear goals. The problem also stemmed from the inverse character of the process of integrating these approaches. The inverse decision-making processes are characterized by a trait that small changes in the internal and external conditions can greatly change the decision. In this paper for decision-making the well-known architecture approach, artificial intelligence (AI) tools, and the author’s convergent approach were used. The convergent approach is based on the methods of cognitive (conceptual) modelling with big data analysis for the models' verification. But the unclear goals and inverse conditions of decision-making required applying the special methods of inverse problem-solving in topological spaces with a genetic algorithm, and categories theory for finding the solution. This approach helped to make a convolution of some strategic approaches for creating the methodological foundation of creating the national digital agriculture ecosystem.