The paper presents an approach to solving the problem of assembling broken, flat elements using a letter notation of the elements’ contours and checking their matching using linguistic methods. Previous studies with the use of exhaustive search have shown effectiveness in finding possible connections, but they are burdened with a large number of calculations and the time needed to carry them out. In order to accelerate the process of searching for solutions, the possibility of using a fail-fast method of fuzzy assessment of potential combinations of elements was checked, as well as the method of cutting off potential, but not effective connections. The numerical experiment carried out showed a significant reduction in the number of trials and total computation time while maintaining the quality of the potential solutions found.