[1]杨习贝,杨静宇.邻域系统粗糙集模型[J].南京理工大学学报(自然科学版),2012,36(02):291-295.
 YANG Xi-bei,YANG Jing-yu.Rough Set Model Based on Neighborhood System[J].Journal of Nanjing University of Science and Technology,2012,36(02):291-295.
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邻域系统粗糙集模型
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
36卷
期数:
2012年02期
页码:
291-295
栏目:
出版日期:
2012-04-30

文章信息/Info

Title:
Rough Set Model Based on Neighborhood System
作者:
杨习贝; 杨静宇;
江苏科技大学计算机科学与工程学院; 南京理工大学计算机科学与技术学院;
Author(s):
YANG Xi-bei12YANG Jing-yu2
1.School of Computer Science and Engineering,Jiangsu University of Science and Technology, Zhenjiang 212003,China;2.School of Computer Science and Technology,NUST,Nanjing 210094,China
关键词:
邻域系统 粗糙集 可变精度粗糙集 多粒度粗糙集
Keywords:
neighborhood system rough sets variable precision rough sets multi-granulations rough sets
分类号:
TP18
摘要:
该文从多视角考虑粗糙近似逼近问题,讨论了邻域系统粗糙集模型的性质。将邻域系统粗糙集模型与两种重要的广义粗糙集模型,即可变精度粗糙集和多粒度粗糙集进行了对比分析,分别根据分类错误率和多粒度构建了不同的领域系统。该文研究结果证明了可变精度粗糙集模型和多粒度粗糙集模型是邻域系统粗糙集模型的特例,邻域系统粗糙集模型是一种更为广义的粗糙集表现形式。
Abstract:
Considering the rough approximation with the different views,properties of the neighborhood system based rough set model are investigated.The neighborhood system based rough set is compared with the two different generalized rough sets,the variable precision rough set model and the multi-granulation rough set model.Two different neighborhood systems are constructed according to the classification error and the multi-granulations.It is proved that the variable precision rough set model and multi-granulation rough set model are special cases of the neighborhood system based rough set,and the neighborhood system based rough set is a more generalized rough approach.

参考文献/References:

[1] Pawlak Z. Rough sets-theoretical aspects of reasoning about data[M]. London: Kluwer Academic Publishers, 1991.
[2] Ziarko W. Variable precision rough set model[J]. Journal of Computer and System Sciences, 1993, 46( 1) : 39-59.
[3] Qian Yuhua,Liang Jiye,Dang Chuangyin. Incomplete multi-granulations rough set[J]. IEEE Transactions on Systems,Man and Cybernetics-Part A,2010,40 ( 2) : 420-431.
[4] Qian Yuhua,Liang Jiye,Yao Yi yu,et al. MGRS: A multi-granulation rough set[J]. Information Sciences, 2010, 180( 6) : 949-970.
[5] Qian Yuhua,Liang Jiye,Wei wei. Pessimistic rough decision[A]. Second International Workshop on Rough Sets Theory[C]. Zhoushan,China: Zhejiang Ocean University, 2010: 440-449.
[6] Yang Xibei,Li Xinzhe,Lin Tsau-young. First GrC modelneighborhood systems: the most general rough set models [A]. 2009 IEEE International Conference on Granular Computing[C]. Beijing,China: IEEE, 2009: 691-695.
[7] Lin Tsau-young. Encyclopedia on complexity of systems science[M]. Berlin: Springer, 2009: 4339-4355.
[8] Zhu Feng,Wang Feiyue. On three types of coveringbased rough sets[J]. IEEE Transactions on Knowledge and Data Engineering, 2007, 19( 8) : 1131-1144.
[9] 祝峰,王飞跃. 关于广义覆盖粗集的一些基本结果[J]. 模式识别与人工智能, 2002, 15( 1) : 6-13.
[10] Lin Tsau-young. Granular computing on binary relations I: data mining and neighborhood systems[A]. Rough Sets and Knowledge Discovery [C]. Berlin: Springer, 1998: 107-121.
[11] 周献中,黄兵. 基于粗集的不完备信息系统属性约简[J]. 南京理工大学学报, 2003, 27( 5) : 630-635.
[12] Zadeh L A. Fuzzy set and information granularity[A]. Advances in Fuzzy Set Theory and Application[C]. Amsterdam,Holland: North-Holland Publishing,1979: 3-18.
[13] Lin Tsau-young. Granular computing on binary relations Ⅱ: rough set representations and belief functions[A]. Rough Sets and Knowledge Discovery [C]. Berlin: Springer, 1998: 122-140.

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备注/Memo

备注/Memo:
国家自然科学基金(61100116);江苏省自然科学基金(BK2011492);江苏省高校自然科学基金(11KJB520004);中国博士后科学基金(20100481149);江苏省博士后科学基金(1100137C)
更新日期/Last Update: 2012-10-12