JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 120-126.doi: 10.6040/j.issn.1671-9352.0.2017.400
ZHANG Xiao1, YANG Yan-yan2
CLC Number:
| [1] PAWLAK Z. Rough sets[J]. International Journal of Computer and Information Sciences, 1982, 11(5):341-356. [2] SLOWINSKI R, VANDERPOOTEN D. A generalized definition of rough approximations based on similarity[J]. IEEE Transactions on Knowledge and Data Engineering, 2000, 12(2):331-336. [3] KRYSZKIEWICZ M. Rough set approach to incomplete information system[J]. Information Sciences, 1998, 112(1/2/3/4):39-49. [4] WU Weizhi, ZHANG Wenxiu. Neighborhood opertor systems and approximations[J]. Information Sciences, 2002, 144(1/2/3/4):201-217. [5] YAO Yiyu. Neighborhood systems and approximate retrieval[J]. Information Sciences, 2006, 176(23):3431-3452. [6] GRECO S, MATARAZZO B, SLOWINSKI R. Rough approximation by dominance relations[J]. International Journal of Intelligent Systems, 2002, 17(2):153-171. [7] QIAN Yuhua, LIANG Jiye, SONG Peng, et al. Evaluation of the decision performance of the decision rule set from an ordered decision table[J]. Knowledge-Based Systems, 2012, 36:39-50. [8] ZAKOWSKI W. Approximations in the space(U, Π)[J]. Demonstratio Mathematica, 1983, 16(3):761-769. [9] CHEN Degang, WANG Changzhong, HU Qinghua. A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets[J]. Information Sciences, 2007, 177(17):3500-3518. [10] 许晴媛, 李进金, 张燕兰. 覆盖决策信息系统的约简[J]. 山东大学学报(理学版), 2010, 45(1):89-93. XU Qingyuan, LI Jinjin, ZHANG Yanlan. Reductions about covering decision information system[J]. Journal of Shandong University(Natural Science), 2010, 45(1):89-93. [11] 杨田, 伍秀华, 王玉芳. 覆盖粗糙集属性约简的新算法[J]. 模糊系统与数学, 2013, 27(2):183-190. YANG Tian, WU Xiuhua, WANG Yufang. A new attribute reduction algorithm of covering rough sets[J]. Fuzzy Systems and Mathematics, 2013, 27(2):183-190. [12] CHEN Degang, LI Wanlu, ZHANG Xiao, et al. Evidence-theory-based numerical algorithms of attribute reduction with neighborhood-covering rough sets[J]. International Journal of Approximate Reasoning, 2014, 55(3):908-923. [13] WANG Changzhong, SHAO Mingwen, SUN Baiqing, et al. An improved attribute reduction scheme with covering based rough sets[J]. Applied Soft Computing, 2015, 26:235-243. [14] DONG Ze, SUN Ming, YANG Yanyan. Fast algorithms of attribute reduction for covering decision systems with minimal elements in discernibility matrix[J]. International Journal of Machine Learning and Cybernetics, 2016, 7(2):297-310. [15] 谭安辉, 李进金, 吴伟志. 多粒度粗糙集和覆盖粗糙集间的近似与约简关系[J]. 模式识别与人工智能, 2016, 29(8):691-697. TAN Anhui, LI Jinjin, WU Weizhi. Approximation and reduction relationships between multi-granulation rough sets and covering rough sets[J]. Pattern Recognition and Artificial Intelligence, 2016, 29(8):691-697. [16] ZHU W, WANG Feiyue. On three types of covering rough sets[J]. IEEE Transactions on Knowledge and Data Engineering, 2007, 19(8):1131-1144. [17] DU Yong, HU Qinghua, ZHU Pengfei, et al. Rule learning for classification based on neighborhood covering reduction[J]. Information Sciences, 2011, 181(24):5457-5467. [18] 阎红灿, 张奉, 刘保相. 基于粒计算的粗决策规则抽取与约简[J]. 通信学报, 2016, 37(Z1):30-35. YAN Hongcan, ZHANG Feng, LIU Baoxiang. Rough decision rules extraction and reduction based on granular computing[J]. Journal on Communications, 2016, 37(Z1):30-35. [19] ZHANG Xiao, MEI Changlin, CHEN Degang, et al. Multi-confidence rule acquisition oriented attribute reduction of covering decision systems via combinatorial optimization[J]. Knowledge-Based Systems, 2013, 50:187-197. [20] CLARK P, NIBLETT T. The CN2 induction algorithm[J]. Machine Learning, 1989, 3(4):261-283. |
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