山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (7): 13-21.doi: 10.6040/j.issn.1671-9352.4.2017.077
黄桃林1,牛娇娇2,3,李金海2,3*
HUANG Tao-lin1, NIU Jiao-jiao2,3, LI Jin-hai2,3*
摘要: 知识约简是知识发现中的一项重要任务,它的研究使得在数据中寻找蕴含规则更加简易,但现实中的信息往往都不是一成不变的,随着时间的推移需要不断地对原有信息进行适当更新。本文主要从粒辨识属性矩阵出发,讨论当所研究的形式背景处于更新状态时,如何由原有的粒协调集更新得到新的粒协调集,并讨论了粒辨识属性矩阵的相关性质。
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[1] WILLE R. Restructuring lattice theory:an approach based on hierarchies of concept[C] // RivalI, ed.Orderes Sets, Dordrecht-Boston: Reidel, 1982: 445-470. [2] GANTER B, WILL R. Formal concept analysis:mathematical foundation[M]. Berlin: Springer, 1999. [3] 张文修, 仇国芳. 基于粗糙集的不确定决策[M]. 北京:清华大学出版社, 2005. ZHANG Wenxiu, QIU Guofang. Uncertain decision making based on rough sets[M]. Beijing:Tsinghua University Press, 2005. [4] 徐伟华, 李金海, 魏玲, 等. 形式概念分析理论与应用[M]. 北京:科学出版社, 2016. XU Weihua, LI Jinhai, WEI Ling, et al. Formal concept analysis: theory and application[M]. Beijing: Science Press, 2016. [5] HO T B. An approach to concept formation based on formal concept analysis[J]. LEICE Transactions on Information and Systems, 1995, 78(5):553-559. [6] LI Jinhai, MEI Changlin, CHERUKURI A K, et al. On rule acquision in decision formal contexts[J]. International Journal of Machine Learing and Cybernetices, 2013, 4(6):721-731. [7] 张文修, 魏玲, 祁建军. 概念格的属性约简理论与方法[J]. 中国科学(E辑), 2005, 35(6):628-639. ZHANG Wenxiu, WEI Ling, QI Jianjun. Attribute reduction of concept lattice theory and method[J]. Science in China(Series E), 2005, 35(6):628-639. [8] WEI Ling, QI Jianjun, ZHANG Wenxiu. Attribute reduction theory and approach to concept lattice[J]. Science in China(Serise F), 2008, 51(7):910-923. [9] SHAO Mingwen, LEUNG Y, WU Weizhi. Rule acquisition and complexity reduction in decision formal contexts[J]. International Journal of Approximate Reasoning, 2014, 55(1):259-274. [10] LI Jinhai, MEI Changlin, LV Yuejin. A heuristic knowledge reduction method for decision formal contexts[J]. Computers and Mathematics with Applications, 2011, 61(4):1096-1106. [11] XU Weihua, LI Wentao, LUO Shuqun. Knowledge reduction in generalized approximation space over two universes based on evidence theory[J]. Journal of Intelligent and Fuzzy Systems, 2015, 28(6):2471-2480. [12] 仇国芳, 陈劲. 概念知识发现系统与概念信息粒格[J]. 工程数学学报, 2005, 22(6):963-969. QIU Guofang, CHEN Jin. Concept knowledge system and concept information granular lattice[J]. Chinese Journal of Engineering Mathematics, 2005, 22(6):963-969. [13] WU Weizhi, LEUNG Y, MI Jusheng. Granular computing and knowledge reduction in formal contexts[J]. IEEE Transactions on Knowledge and Data Engineering, 2009, 21(10):1461-1467. [14] 聂翠平, 米据生, 郑凤彩. 概念格的外延覆盖约简[J]. 工程数学学报, 2009, 26(1):8-16. NIE Cuiping, MI Jusheng, ZHENG Fengcai. Covering reduction of extents in concept lattice[J]. Chinese Journal of Engineering Mathematics, 2009, 26(1):8-16. |
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