Computer Science ›› 2015, Vol. 42 ›› Issue (6): 88-92.doi: 10.11896/j.issn.1002-137X.2015.06.020

Previous Articles     Next Articles

Conditional Probability-based Multi-granulation Covering Rough Sets

LIU Cai-hui and TU Xiao-qiang   

  • Online:2018-11-14 Published:2018-11-14

Abstract: This paper proposed three kinds of covering-based multi-granulation rough sets by employing the conditional probability between target concept and the minimal descriptions of elements.Some basic properties of the models were investigated and their relationships with some existed covering-based multi-granulation rough sets were disclosed.We found that the proposed models are extensions of existed covering-based multi-granulation rough sets.Finally,the relationships between the three models were explored.

Key words: Rough sets,Multi-granulation,Probability,Covering,Minimal description

[1] Qian Y H,Liang J Y.Rough set method based on multi-granulations[C]∥Proceeding of the fifth IEEE International Confe-rence on Cognitive Informatics.Beijing,China,July 2006:297-304
[2] Qian Y H,Liang J Y,Yao Y Y,et al.MGRS:A multi-granulation rough set [J].Information Sciences,2010,180:949-970
[3] Qian Y H,Zhang H,Sang Y L,et al.Multigranulation decision-theoretic rough sets [J].International Journal of Approximate Reasoning,2014,55(1):225-237
[4] Qian Y H,Li S Y,Liang J Y,et al.Pessimistic rough set based decisions:a multigranulation fusion strategy [J].Information Sciences,2014,264:196-210
[5] Yang X B,Song X N,Dou H L,et al.Multi-granulation rough set:from crisp to fuzzy case [J].Annals of Fuzzy Mathematics and Informatics,2011,1(1):55-70
[6] Yang X B,Song X N,Chen Z H,et al.On multigranulation rough sets in incomplete information system [J].International Journal of Machine Learning and Cybernetics,2012,3(3):223-232
[7] Yang X B,Qi Y S,Song X N,et al.Test cost sensitive multigranulation rough set:Model and minimal cost selection[J].Information Sciences,2013,250:184-199
[8] Xu W H,Sun W X,Zhang X Y,et al.Multiple granulation rough set approach to ordered information systems [J].International Journal of General Systems,2012,41(5):475-501
[9] Xu W H,Wang Q R,Zhang X T.Multi-granulation rough sets based on tolerance relations [J].Soft Computing,2013,17(7):1241-1252
[10] Xu W H,Wang Q R.Multi-granulation fuzzy rough sets,Journal of Intelligent and Fuzzy Systems [J].Journal of Intelligent and Fuzzy Systems,2014,6(3):1320-1340
[11] She Y H,He X L.On the structure of the multigranulationrough set model [J].Knowledge Based Systems,2012,36:81-92
[12] Huang B,Guo C X,Zhuang Y L,et al.Intuitionistic fuzzy multigranulation rough sets [J].Information Sciences,2014,7:299-320
[13] Lin G P,Liang J Y,Qian Y H.Multigranulation rough sets:from partition to covering[J].Information Sciences,2013,1:101-118
[14] Lin G P,Qian Y H,Li J J.NMGRS:Neighborhood-based multigranulation rough sets [J].International Journal of Approximation Reasoning,2012,53(7):1080-1093
[15] Liu C H,Miao D Q,Qian J.On multi-granulation covering rough sets[J].International Journal of Approximate Reasoning,2014,55:1404-1418
[16] Liu C H.Covering Multi-granulation Rough Sets Based on Maxi-mal Descriptors[J].Information Technology Journal,2014,13(7):1396-1400
[17] 别林斯里.概率与测度(第3版)[M].北京:世界图书出版公司,2007 Billingsley P.Probability and Measure(Third Edition)[M].Beijing:World Publishing Corporation,2007
[18] 张明,谭振民,徐维艳,等.可变粒度粗糙集[J].计算机科学,2011,8(10):220-222 Zhang M,Tang Z M,Xu W Y,et al.Variable Granulation Rough Set [J].Computer Science,2011,8(10):220-222
[19] 翟永健,张宏.不完备系统中的变精度多粒度粗糙集[J].南京航空航天大学学报,2011,3(6):781-785 Zhai Y J,Zhang H.Variable Precision Multigranulation Rough Sets in Incomplete Information System [J].Journal of Nanjing University of Aeronautics & Astronautics,2011,3(6):781-785
[20] 刘财辉.一种元素最大描述下的多粒度覆盖粗糙集模型[J].计算机科学,2013,0(12):64-67 Liu C H.Covering-based Multigranulation Rough Set Model Based on Maximal Description of Elements [J].Computer Science,2013,0(12):64-67
[21] Zhu W,Wang F Y.Reduction and axiomatization of coveringgeneralized rough sets [J].Information Sciences,2003,152:217-230
[22] Yao Y Y.Three-way decisions with probabilistic rough sets [J].Information Sciences,2010,180:341-353

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!