aspg-21-2670-1791468718 20261008141158 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 Marına Mendez Cabrıta Regional Autonomous University of the Andes (UNIANDES Tulcán), Ecuador Leonso Torres Torres Regional Autonomous University of the Andes (UNIANDES Santo Domingo) , Ecuador Jorge G. Del Pozo C. Regional Autonomous University of the Andes (UNIANDES Quevedo), Ecuador Nasser El-Kanj College of Business Administration, American University of the Middle East, 54200, Egaila, Kuwait This study investigated the dynamics of interaction between key variables in traffic accident mediation and how the inherent indeterminacy in these interactions influences the outcomes of mediation. Neutrosophic Cognitive Maps and neutrosophic logic were used to model and quantify the centrality and influence of such variables. The results highlighted the importance of negotiation strategies and emotional management as factors of high centrality in the mediation process. Based on these findings, the implementation of targeted training programs and the adoption of advanced analytical tools to improve mediation practices were recommended. The study underscores the need for a multidimensional approach that considers the complexity and uncertainty in mediator training, supporting efficiency and effectiveness in resolving traffic disputes. 2024 249 258 2670 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240122 https://www.americaspg.com/journal/21/article/2670 https://www.americaspg.com/storage/01713317750.pdf