Title
Some minimal axiom sets of rough sets
Abstract
The axiomatic approach is an important one to the development of rough set theory. This paper proposes some independent and minimal axiom sets for characterizing the classical rough set. First, we investigate the correlations among some arbitrary binary relations in rough sets. Then, we provide several forms of equivalence relations which are different from the original ones. Finally, to well characterize the classical rough set, we propose fifteen new minimal axiom sets of rough sets based on the new equivalence relations. By employing relative tables, the independence of axiom sets for characterizing the approximation operators is also examined.
Year
DOI
Venue
2015
10.1016/j.ins.2015.03.052
Inf. Sci.
Keywords
Field
DocType
binary relations,equivalence relations,rough sets,the minimal axiom sets
Axiom of choice,Discrete mathematics,Equinumerosity,Zermelo–Fraenkel set theory,Scott's trick,Urelement,Rough set,Constructive set theory,Dominance-based rough set approach,Mathematics
Journal
Volume
Issue
ISSN
312
C
0020-0255
Citations 
PageRank 
References 
10
0.43
33
Authors
3
Name
Order
Citations
PageRank
Zhouming Ma1642.87
Jinjin Li229822.10
Ju-Sheng Mi3205477.81