Relation between Significance of Attribute Set and Single Attribute

In the research field of Rough Set, few papers concern the significance of attribute set. However, there is important relation between the significance of single attribute and that of attribute set, which should not be ignored. In this paper, we draw conclusions by case analysis that (1) the attribute set including single attributes with high significance is certainly significant, while, (2)the attribute set which consists of single attributes with low significance possibly has high significance. We validate the conclusions on discernibility matrix and the results demonstrate the contribution of our conclusions.

• Xiuqin Ma
• Norrozila Binti Sulaiman
• Hongwu Qin

• relation
• attribute set
• single attribute
• rough set
• significance

[1] Pawlak Z. Rough Sets (J). International Journal of Computer and
Information Science, 1982, 11:341 .
[2] Pawlak Z. Rough Sets and Intelligent Data Analysis(J). Information
Sciences,2002, 147(1-4): 1-12.hu
[3] Zdzislaw Pawlak, Andrzej Skowron. Rudiments of rough sets[J].
Information Sciences, 177(2007) 3-27
[4] D.Q. Miao a, Y. Zhao b, Y.Y. Yao b, H.X. Li b,c, F.F. Xu a,b. Relative
reducts in consistent and inconsistent decision tables of the Pawlak rough
set model(J). Information Sciences, 179 (2009) 4140-4150.
[5] Yiyu Yao, Yan Zhao, Attribute reduction in decision-theoretic rough set
models. Information Sciences 178 (2008) 3356-3373
[6] Zhu Hong. Research of Representation Formula for the Dependence
Degree Among Attributes (J). COMPUTER ENGINEERING, 2005,
31(1): 174-175, 211.
[7] Meng Qingquan, Mei canhua. New dependability of attribute sets (J).
JOURANL OF COMPUTER APPLICATIONS, 2007,27(7):1748-1750
[8] Zhang Wenxiu, Wu Weizhi, Liang Jijie, Li Deyu. Rough set theory and
method(M). Bei Jing: Science express.2001:1.
[9] Jia wei Han, Micheline Kamber, Data Mining Concepts and Techniques,
Publishing House of Mechanical Industry,2001.8.
[10] LEUNG Y, WU W Z, ZHANG W X. Knowledge acquisition in
incomplete information systems: a rough set approach (J). European
Joumal of Operational Research. 2006, 168(1): 164-180.
[11] Jiang Yun; Li Zhanhuai; Wang Yong; Zhang Longbo, A Better Classifier
Based on Rough Set and Neural Network for Medical Images. Data
Mining Workshops, 2006. ICDM Workshops 2006. Page(s):853 - 857.
[12] A.Skowron. Rough Sets in KDD. Special Invited Speaking, WCC 2000
in Beijing, Aug.2000.