International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2271 2020 2020 Docente de la carrera de Software de la Universidad Regional Autónoma de los Andes (UNIANDES). Ecuador Luz M. Aguirre Paz Docente de la carrera de Software de la Universidad Regional Autónoma de los Andes (UNIANDES). Ecuador María Pico Pico Traditional approaches to recognizing hazards and evaluating their risks have several shortcomings, including data confusion and unpredictability, an inability to accurately reflect human thought processes, a failure to give weight to factors, the use of established data and tables, and the influence of the evaluator on the final risk evaluation outcomes. Thus, refining current techniques and creating new ways with more precision and sensitivity is essential. We proposed a framework for risk assessment of firefighting. Firefighting has various criteria, so the concept of multi-criteria decision-making (MCDM) deals with these criteria, such as life safety, resource allocation, incident duration, weather conditions, access, etc. We collected ten risk criteria and 25 alternatives. The proposed framework has two main stages. First, we apply the average method to ten risk criteria to show the weights and the importance of the criteria. Then, in the second stage, we used the grey rational analysis (GRA) method to assess the firefighting risks. The GRA method is an MCDM methodology used to rank the alternatives. The GRA method is integrated with the triangular neutrosophic sets (TNSs) to deal with vague and uncertain information. Then, the principal results show that life safety is the highest weight, and the incident duration is the lowest. The outcome of the GRA method shows that risk 25 is the highest and risk 17 is the lowest. We applied the sensitivity analysis to show the stability of the results. We offer the model is adequate, and the results are stable.  2024 2024 193 204 10.54216/IJNS.230117 https://www.americaspg.com/articleinfo/21/show/2271