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  2018, Vol. 31 Issue (9): 809-815    DOI: 10.16451/j.cnki.issn1003-6059.201809004
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Uncertainty of Entire-Granulation Rough Sets
DENG Dayong1,2, YAO Kun1, XIAO Chunshui2
1.College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004
2.Xingzhi College, Zhejiang Normal University, Jinhua 3210041

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Abstract  

Entire-granulation rough sets can express explicit and implicit knowledge, as well as complexity, diversity and uncertainty of human cognition. Combined with classic rough set theory, several uncertainty indexes in entire-granulation rough sets are defined, including membership degree of entire-granulation, roughness degree of entire-granulation, dependence degree of entire-granulation for a single concept and dependence degree of entire-granulation for a decision system. The properties of these indexes are investigated, and the relations between these indexes and absolute attribute reducts of entire-granulation, attribute reducts of entire-granulation for a single concept and entire-granulation Pawlak reducts are indicated. The result is a theoretical foundation for attribute reduction and practical application of entire- granulation rough sets.

Key wordsEntire-Granulation Rough Sets      Membership Degree of Entire-Granulation      Roughness Degree of Entire-Granulation      Dependence Degree of Entire-Granulation      Uncertainty     
Received: 14 May 2018     
ZTFLH: TP 18  
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DENG Dayong
YAO Kun
XIAO Chunshui
Cite this article:   
DENG Dayong,YAO Kun,XIAO Chunshui. Uncertainty of Entire-Granulation Rough Sets[J]. , 2018, 31(9): 809-815.
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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201809004      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2018/V31/I9/809
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