Abstract
In this study we focused on the emotional facet of nurses' stress, which is a significant contributing factor in nursing accidents, and through analyzing medical near-miss cases based on a mathematical model, we aim to prevent nursing accidents before they occur. From the standpoint of nursing science and engineering, based on a non-linear curve function similar to the sigmoid curve, using the elements of a transformation matrix for mapping, with nurses' 'emotions' as the parameter, we defined a four-dimensional matrix with a double structure, the function of which was to assign weightings. Further, research conducted through simulation under the parameters of the functions and weightings revealed realistic and meaningful elements, and incidents of medical near-miss cases were analyzed. The results indicate that, even utilizing unrefined function settings, it is possible to build a system that helps prevent nursing accidents before they occur.