1. A New Type of Single Valued Neutrosophic Covering Rough Set Model
- Author
-
Xiaohong Zhang and Jingqian Wang
- Subjects
0209 industrial biotechnology ,Physics and Astronomy (miscellaneous) ,General Mathematics ,Matrix representation ,symmetric relation ,graph representation ,02 engineering and technology ,020901 industrial engineering & automation ,single valued neutrosophic set ,Approximation operators ,0202 electrical engineering, electronic engineering, information engineering ,Computer Science (miscellaneous) ,covering ,matrix representation ,paper defect diagnosis ,Mathematics ,lcsh:Mathematics ,Inclusion relation ,lcsh:QA1-939 ,Algebra ,Symmetric relation ,Chemistry (miscellaneous) ,Graph (abstract data type) ,020201 artificial intelligence & image processing ,Rough set - Abstract
Recently, various types of single valued neutrosophic (SVN) rough set models were presented based on the same inclusion relation. However, there is another SVN inclusion relation in SVN sets. In this paper, we propose a new type of SVN covering rough set model based on the new inclusion relation. Furthermore, the graph and matrix representations of the new SVN covering approximation operators are presented. Firstly, the notion of SVN β 2 -covering approximation space is proposed, which is decided by the new inclusion relation. Then, a type of SVN covering rough set model under the SVN β 2 -covering approximation space is presented. Moreover, there is a corresponding SVN relation rough set model based on a SVN relation induced by the SVN β 2 -covering, and two conditions under which the SVN β 2 -covering can induce a symmetric SVN relation are presented. Thirdly, the graph and matrix representations of the new SVN covering rough set model are investigated. Finally, we propose a novel method for decision making (DM) problems in paper defect diagnosis under the new SVN covering rough set model.
- Published
- 2019