Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information

In this paper, we propose two new three-way decision models based on decision-theoretic rough sets with single-valued neutrosophic information. These two models adopt different ranking methods, one of which is the ranking method based on cosine similarity measure. The other is the ranking method based on Euclidean distance. The key steps of the proposed models were shown by an algorithm and we present the breakfast shop siting problem to demonstrate the rationality and practicability of the proposed models. Finally, we make comparison analysis between the two models, and compare our models with other existing related models.