International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2947 2020 2020 National University of Central Perú Juan Juan National University of Central Perú. Becquer F. Camayo Camayo-Lapa National University of Central Perú Ever F. Ingaruca-� Ingaruca-Álvarez National University of Central Perú Erick A. Huamán Alvarado National University of Central Perú Humberto Dax B. Mancilla National University of Central Perú Julio Cesar Álvarez Orellana César Vallejo University. Perú Katia Ninozca F. Ledesma  For the treatment of contamination produced by the variant presence of heavy metals such as lead (Pb), copper (Cu), zinc (Zn) and arsenic (As) in the waters of the Irrigation Canal of the Left Bank of the Mantaro River (CIMIRM is Spanish), a purification procedure was carried out using different doses of cerium oxide nanoparticles (CeO2) and evaluating their effectiveness in the elimination of these metals in the aforementioned mass of water. As a first step, the water from the CIMIRM canal was characterized using Modular Ultraviolet-Visible Spectrophotometry techniques with high NIR sensitivity and Inductively Coupled Plasma Mass Spectrometry (ICP-MS), to measure the concentrations of heavy metals. Additionally, an analysis of the CeO2 nanoparticles was carried out using techniques to confirm their size and structure. The efficacy of the treatment was determined statistically using a four-stage four-factor factorial design, comparing the differences in the control groups and target groups. The classic statistical test used is the Wilcoxon rank sum test. One of the problems of the simulation of the study carried out in the laboratory is the lack of accuracy because the concentration of heavy metals in the Mantaro River varies during the year. This is why a single crisp value is not enough to study the effectiveness of treatments. One solution to this problem is to use Neutrosophic Statistics, where the data is replaced by Neutrosophic Numbers or intervals instead of crisp values. 2025 2025 219 227 10.54216/IJNS.250120 https://www.americaspg.com/articleinfo/21/show/2947