International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/358 2020 2020 Proposal for a new theory of neutrosophic application of the evidence in the Ecuadorian criminal process Level III main professor-researcher and research coordinator of the Faculty of Jurisprudence of the Autonomous Regional University of the Andes, extension Ibarra-Ecuador Luis Andrés Crespo Berti In this article, the main objective was to examine the articulation mechanism of the guiding principles of evidentiary law, the backbone of the criminal procedure directed at judges so as not to make inexcusable mistakes. A new theory called reasoned equivalence based on numerical neutrosophics by considering each evidentiary principle along with its opposite or negation and the spectrum of neutralities . The data collection techniques responded to participant observation and the Delphi technique, after having gathered the opinion of 60 collaborating criminal lawyers about the problem through the exercise of the profession. The construction of the instrument fell to an observation guide. The results gave the judicial practice a marked formative value, by establishing relationships between the content of the evidence and the development of oral litigation techniques aimed at the promotion and evacuation of evidence to contribute to a certain criminal process, the evidence necessary to that the judge can come to the knowledge and conviction of the procedural truth of the facts. 2020 2020 117 124 10.54216/IJNS.040205 https://www.americaspg.com/articleinfo/21/show/358