计算机科学 ›› 2018, Vol. 45 ›› Issue (7): 178-185.doi: 10.11896/j.issn.1002-137X.2018.07.031
尹继亮,张楠,赵立威,陈曼如
YIN Ji-liang ,ZHANG Nan ,ZHAO Li-wei ,CHEN Man-ru
摘要: 区间值决策系统中已有的属性约简工作主要针对决策属性中所有的决策类。针对区间值决策系统中决策属性的某些特定类,引入了区间值决策系统局部约简的概念,提出了部分决策类约简的判定定理;利用差别矩阵方法研究局部约简的结构,并给出了基于差别矩阵的局部约简算法。通过局部约简的概念对区间值决策系统的全局约简结构进行进一步刻画,讨论了不协调区间值决策系统的局部约简和全局约简之间的关系。最后通过相关实验验证了所提算法的可行性和有效性。
中图分类号:
[1]PAWLAK Z.Rough sets[J].International Journal of Computer &Information Sciences,1982,11(5):341-356. [2]PAWLAK Z.Rough sets:theoretical aspects of reasoning about data[M].Boston:Kluwer Academic Publishers,1992. [3]WANG G Y,YAO Y Y,YU H.A survey on rough set theory and applications[J].Chinese Journal of Computers,2009,32(7):1229-1246.(in Chinese) 王国胤,姚一豫,于洪.粗糙集理论与应用研究综述[J].计算机学报,2009,32(7):1229-1246. [4]QIAN Y H,LIANG J Y,PEDRYCZ W,et al.Positive approximation:an accelerator for attribute reduction in rough set theory[J].Artificial Intelligence,2010,174(9):597-618. [5]CHEN H M,LIT R,RUAN D,et al.A rough-set based incrementalapproach for updating approximations under dynamic main-tenance environments[J].IEEE Transactions on Knowledge and Data Engineering,2013,25(2):274-284. [6]HU Q H,YU D R,XIE Z X.Information-preserving hybrid data reduction based on fuzzy-rough techniques[J].Pattern Recognition Letters,2006,27(5):414-423. [7]MIAO D Q,ZHAO Y,YAO Y Y,et al.Relative reducts in consistent and inconsistent decision tables of the Pawlak rough set model[J].Information Sciences,2009,179(24):4140-4150. [8]JIA X Y,SHANG L,ZHOU B,et al.Generalized attribute reduct in rough set theory[J].Knowledge-Based Systems,2016,91(C):204-218. [9]LEUNG Y,FISCHER M M,WU W Z,et al.A rough set approach for the discovery of classification rules in interval-valued information systems[J].International Journal of Approximate Reasoning,2008,47(2):233-246. [10]YANG X B,QI Y,YU D J,et al.α-Dominance relation andrough sets in interval-valued information systems[J].Information Sciences,2015,294(5):334-347. [11]XU F F,BI Z Q,LEI J S.Approximate reduction for the interval-valued decision table[M]∥Rough Sets and Knowledge Technology.Springer International Publishing,2014:89-100. [12]ZHANG N,MIAO D Q,YUE X D.Approach-es to knowledge reduction in interval-valued information systems[J].Journal of Computer Research and Development,2010,47(8):1362-1371.(in Chinese) 张楠,苗夺谦,岳晓冬.区间值信息系统的知识约简[J].计算机研究与发展,2010,47(8):1362-1371. [13]LIU P H,CHEN Z C,QIN K Y.Decision attribute reduction of interval-valued informa-tion systems[J].Computer Engineering and Applications,2009,45(28):148-150.(in Chinese) 刘鹏惠,陈子春,秦克云.区间值信息系统的决策属性约简[J].计算机工程应用,2009,45(28):148-150. [14]DU W S,HU B Q.Approximate distribution reducts in inconsistent interval-valued ordered decision tables[J].InformationScien-ces,2014,271(7):93-114. [15]ZHANG N,XU X,TONG X R,et al.Knowledge reduction in inconsistent interval-valued decision systems[J].Journal of Chinese Computer Systems,2017,38(7):1585-1589.(in Chinese) 张楠,许鑫,童向荣,等.不协调区间值决策系统的知识约简[J].小型微型计算机系统,2017,38(7):1585-1589. [16]DAI J H,WEI B,ZHANG X,et al.Uncertainty measurement for incomplete interval-valued information systems based on α-weak similarity[J].Knowledge-Based Systems,2017,136(11):159-171. [17]BAGGENSTOSS P M.Class-specific feature sets in classification[J].IEEE Transactions on Signal Processing,1999,47(12):3428-3432. [18]CHEN D G,ZHAO S Y.Local reduction of decision system with fuzzy rough sets[J].Fuzzy Sets & Systems,2010,161(13):1871-1883. [19]YAO Y Y,ZHANG X Y.Class-specific attribute reducts inrough set theory[J].Information Sciences,2017,418(38):601-618. [20]JU H R,LI H X,ZHOU X Z,et al.Spquential three-way classifier with local reduction[J].Computer Science,2017,44(9):34-39.(in Chinese) 鞠恒荣,李华雄,周献中,等.基于Local约简的序贯三支分类器[J].计算机科学,2017,44(9):34-39. [21]QIAN Y H,LIANG X Y,LIANG J Y,et al.Local rough set:a solution to rough data analysis in big data[J].International Journal of Approximate Reasoning,2018,97(6):38-63. [22]LIU G L,HUA Z,ZOU J Y.Local attribute reductions for decision tables[J].Information Sciences,2017,422:204-217. [23]ZHANG X,MEI C L,CHEN D G,et al.Multi-confidence rule acquisition and confidence-preserved attribute reduction in interval-valued decision systems[J].International Journal of Appro-ximate Reasoning,2014,55(8):1787-1804. |
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