**7. Conclusions**

This paper is a bridge, linking SVNSs and covering-based rough sets. By introducing some definitions and properties in SVN *β*-covering approximation spaces, we present two types of SVN covering rough set models. Then, their characterizations and matrix representations are investigated. Moreover, an application to the problem of DM is proposed. The main conclusions in this paper and the further work to do are listed as follows.

1. Two types of SVN covering rough set models are first presented, which combine SVNSs with covering-based rough sets. Some definitions and properties in covering-based rough set model, such as coverings and neighborhoods, are generalized to SVN covering rough set models. Neutrosophic sets and related algebraic structures [47–49] will be connected with the research content of this paper in further research.


**Author Contributions:** All authors contributed equally to this paper. The idea of this whole thesis was put forward by X.Z., and he also completed the preparatory work of the paper. J.W. analyzed the existing work of rough sets and SVNSs, and wrote the paper.

**Funding:** This work was supported by the National Natural Science Foundation of China under Grant Nos. 61573240 and 61473239.

**Conflicts of Interest:** The authors declare no conflict of interest.
