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

Abstract

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.