By using score function and accuracy function, a novel three-way decision model based on Bayesian decision theory under single-valued neutrosophic information is proposed, in which the loss functions are single-valued neutrosophic numbers. Finally, an algorithm is given and the effectiveness of the proposed model and algorithm is shown by an example, and comparison analysis was made with the existing model.This model highlights the significance of the uncertain membership degree single-valued neutrosophic numbers.

three-way decision; single-valued neutrosophic set; score function; accuracy function