A New Approach to Rough Set Based on Remote Neighborhood Systems
Joint Authors
Li, Lingqiang
Sun, Shoubin
Hu, Kai
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The notion of neighborhood systems is abstracted from the geometric notion of “near”, and it is primitive in the theory of topological spaces.
Now, neighborhood systems have been applied in the study of rough set by many researches.
The notion of remote neighborhood systems is initial in the theory of topological molecular lattice, and it is abstracted from the geometric notion of “remote”.
Therefore, the notion of remote neighborhood systems can be considered as the dual notion of neighborhood systems.
In this paper, we develop a theory of rough set based on remote neighborhood systems.
Precisely, we construct a pair of lower and upper approximation operators and discuss their basic properties.
Furthermore, we use a set of axioms to describe the lower and upper approximation operators constructed from remote neighborhood systems.
American Psychological Association (APA)
Sun, Shoubin& Li, Lingqiang& Hu, Kai. 2019. A New Approach to Rough Set Based on Remote Neighborhood Systems. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1197822
Modern Language Association (MLA)
Sun, Shoubin…[et al.]. A New Approach to Rough Set Based on Remote Neighborhood Systems. Mathematical Problems in Engineering No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1197822
American Medical Association (AMA)
Sun, Shoubin& Li, Lingqiang& Hu, Kai. A New Approach to Rough Set Based on Remote Neighborhood Systems. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1197822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197822