The comparative study of covering rough sets and multi-granulation rough sets

被引:0
作者
Qingzhao Kong
Weihua Xu
机构
[1] Jimei University,School of Science
[2] Chongqing University of Technology,School of Science
来源
Soft Computing | 2019年 / 23卷
关键词
Rough sets; Multi-granulation; Covering; Reduction; Operation property; Algebraic property;
D O I
暂无
中图分类号
学科分类号
摘要
The covering rough set (CRS) theory and the multi-granulation rough set (MGRS) theory are both the important generalizations of Pawlak rough set theory. Up to now, substantial contributions have been made to the development of CRS and MGRS. In this paper, in order to shed some light on the comparison and combination of CRS theory and MGRS theory, we investigate the relationship between CRS and MGRS based on different aspects. We firstly put forward an effective approach to describe the covering rough sets by means of the multi-granulation rough sets. Then, we, respectively, study the differences and relations of lower and upper operators, reduction, operation properties and algebraic properties between CRS and MGRS.
引用
收藏
页码:3237 / 3251
页数:14
相关论文
共 77 条
[1]  
Ananthanarayana VS(2003)Tree structure for efficient data mining using rough sets Pattern Recognit Lett 24 851-862
[2]  
Narasimha MM(1998)Extensions and intentions in the rough set theory Inf Sci 107 149-167
[3]  
Subramanian DK(1994)Rough groups and rough subgroups Bull Pol Acad Sci Math 42 251-254
[4]  
Bonikowski Z(1991)An algebraic approach to the approximation of information Fundam Inform 14 492-502
[5]  
Bryniorski E(1987)Algebraic approach to rough sets Bull Pol Acad Sci 35 673-683
[6]  
Wybraniec-Skardowska U(2006)Rough sets attributes reduction based expert system in interlaced video sequences IEEE Trans Consum Electron 52 1348-1355
[7]  
Biswas R(2015)Covering-based fuzzy rough sets J Intell Fuzzy Syst 29 2405-2411
[8]  
Nanda S(2017)Further study of multi-granulation fuzzy rough sets J Intell Fuzzy Syst 32 2413-2424
[9]  
Comer S(1996)The lower and upper approximations in a fuzzy group Inf Sci 90 203-220
[10]  
Iwiński TB(1997)Rough ideals in semigroups Inf Sci 100 139-163