Single-Valued Neutrosophic Covering-Based Rough Set Model Over Two Universes and Its Application in MCDM

This article aims to propose a new type of single-valued neutrosophic(SVN) covering-based rough sets over two universes by using Wang’s single-valued neutrosophic covering rough sets. Wang’s model is based on one universe but the proposed model is based on two universes and thus the new model gives a new perspective for decision-making on uncertain problems. First, we define SVN β-neighborhood, which is considered as a mapping from the universe to the set of SVN sets in another universe and study its properties. Then we investigate the properties of the new type of SVN covering-based rough set model over two universes. Also, we give a necessary and sufficient condition under which two SVN β-coverings generate the same SVN covering lower and the upper approximation. In addition, we also present the matrix representation of SVN covering lower and upper approximation operators over two universes for solving real-life-based multi-criteria decision-making problems