Paper Info
Title
Boundary region-based rough sets and uncertainty measures in the approximation space.
Abstract
The approximation operators play an important role in rough set theory, which are mainly defined by means of neighborhood systems. In this paper, firstly, we try to propose a class of novel definitions of the approximation operators via a predefined boundary region based on a binary relation. Then we compare the proposed concepts with the originals, the necessary and sufficient conditions of their equipollence are investigated. Secondly, we give the definitions of boundary region based on a covering. By employing the boundary, a class of novel definitions of the approximation operators based on a covering are proposed. It is shown that the proposed operators are equivalent to a class of covering approximation operators introduced by Zakowski. Thirdly, the relationship between general binary relations and coverings based approximation operators is investigated with the aid of the novel boundary region. Finally, the more reasonable characterizations of the accuracy and the roughness are proposed by employing the boundary operators. Meanwhile, we study uncertainty measures of approximation spaces based on a partition and a covering.
Year
DOI
Venue
2016
10.1016/j.ins.2016.07.040
Inf. Sci.
Keywords
Field
DocType
Boundary region,Axiomatization,Uncertainty measure,Rough sets
Discrete mathematics,Approximation operators,Binary relation,Equipollence,Rough set,Operator (computer programming),Partition (number theory),Operator theory,Mathematics
Journal
Volume
Issue
ISSN
370-371
C
0020-0255
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Zhouming Ma1642.87
Ju-Sheng Mi2205477.81