Multigranulation single valued neutrosophic covering-based rough sets and their applications to multi-criteria group decision making

Document Type : Research Paper

Authors

1 College of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi'an 710021, PR China

2 School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an 710021, PR China

Abstract

In this paper, three types of (philosophical, optimistic and pessimistic) multigranulation single valued neutrosophic (SVN) covering-based rough set models are presented, and these three models are applied to the problem of multi-criteria group decision making (MCGDM).
Firstly, a type of SVN covering-based rough set model is proposed.
Based on this rough set model, three types of multigranulation SVN covering-based rough set models under the concept of multigranulation SVN $\beta$-covering approximation space are proposed, where $\beta$ is a SVN number.
Moreover, the connections among these four models are investigated.
Secondly, some conditions under which different multigranulation SVN $\beta$-covering approximation spaces induced the same multigranulation SVN covering approximation operators are presented.
Finally, three novel methods are presented to MCGDM problems under the multigranulation SVN covering-based rough set models.
Furthermore, the proposed MCGDM methods are compared with other methods through a problem about paper defect diagnosis.

Keywords