Precise assessment of flood risk and accurate allocation of disaster relief funds through a fuzzy set approach

The traditional flood hazard assessment system for emergency departments is based on the average hazard index of administrative regions. However, this approach may overlook errors with significant hazards caused by the transition from watershed hazard maps to administrative hazard maps. In our study, we propose an innovative approach that utilizes fuzzy sets to represent flood risk grades, incorporating the upper and lower boundaries of membership variety to effectively indicate higher and lower risks errors, respectively. The introduction of fuzzy set risk grades not only incorporates conventional information but also addresses local risk errors caused by the conversion, enabling Emergency Departments to allocate disaster prevention funds accurately for all risk spots. The fund allocation coefficient, based on fuzzy risk grades, strongly correlates with the proportion of flood-affected populations over time, highlighting the robustness of utilizing fuzzy set risk grades.