三支类背景上的规则获取

doi:10.11896／j.issn.1002-137X.2018.10.004

计算机科学 ›› 2018, Vol. 45 ›› Issue (10): 21-26.doi: 10.11896／j.issn.1002-137X.2018.10.004

• 2018 年中国粒计算与知识发现学术会议 • 上一篇下一篇

三支类背景上的规则获取

任睿思¹, 魏玲¹, 祁建军²

西北大学数学学院西安710127 ¹
西安电子科技大学计算机学院西安710071 ²

收稿日期:2018-04-17 出版日期:2018-11-05 发布日期:2018-11-05
作者简介:任睿思(1991-),女,博士,主要研究方向为形式概念分析;魏玲(1972-),女,博士,教授,主要研究方向为粗糙集、形式概念分析等,E-mail:wl@nwu.edu.cn(通信作者);祁建军(1970-),男,博士,副教授,主要研究方向为形式概念分析、三支决策。
基金资助:
国家自然科学基金项目(61772021,11371014)资助。

Rules Acquisition on Three-way Class Contexts

REN Rui-si¹, WEI Ling¹, QI Jian-jun²

School of Mathematics,Northwest University,Xi’an 710127,China ¹
School of Computer Science & Technology,Xidian University,Xi’an 710071,China ²

Received:2018-04-17 Online:2018-11-05 Published:2018-11-05

摘要/Abstract

摘要： 规则提取是三支概念分析中的一个重要问题。首先,基于属性导出三支概念,定义了两种三支类背景,即三支条件类背景和三支决策类背景,给出了类背景上的类概念并且研究了类概念的结构。其次,讨论了三支决策类背景上的类概念与三支弱协调决策形式背景上的属性导出三支概念之间的关系。然后,提出了三支决策类背景上的规则获取方法,并且通过比较证明了基于三支类背景获取的规则优于基于三支弱协调决策形式背景获取的规则。最后,利用三支条件类背景给出了反向规则与双向规则的获取方法。

关键词: 规则获取, 三支决策类背景, 三支弱协调决策形式背景, 三支条件类背景, 属性导出三支概念

Abstract: Rules acquisition is an important problem in three-way concept analysis.Based on attribute-induced three-way concepts,two kinds of three-way class contexts were defined,namely three-way condition class contexts and three-way decision class contexts.The class concepts in these two different three-way class contexts were defined and the structures of class concepts were studied.Moreover,the relationships between the class concepts in three-way decision class contexts and the attribute-induced three-way concepts in three-way weakly consistent formal decision contexts were discussed.Then the rules based on three-way decision class concepts were presented,and the way to acquire them was shown.Furthermore,compared to the rules acquired from the three-way weakly consistent formal decision contexts,the class context based rules were proved to be superior than three-way weakly consistent context based rules.Specifically,the number of class context based rules is smaller than the number of three-way weakly consistent context based rules,but for each three-way weakly consistent context based rule,there exists a class context based rule containing more know-ledge.Finally,considering the three-way condition class context,the reverse rules were defined.Considering both three-way condition class contexts and three-way decision class contexts,the double directed rules were presented.

Key words: Attribute-induced three-way concept, Rules acquisition, Three-way condition class context, Three-way decision class context, Three-way weakly consistent formal decision context

中图分类号:

任睿思, 魏玲, 祁建军. 三支类背景上的规则获取[J]. 计算机科学, 2018, 45(10): 21-26. https://doi.org/10.11896／j.issn.1002-137X.2018.10.004

REN Rui-si, WEI Ling, QI Jian-jun. Rules Acquisition on Three-way Class Contexts[J]. Computer Science, 2018, 45(10): 21-26. https://doi.org/10.11896／j.issn.1002-137X.2018.10.004

参考文献

[1]QI J J,WEI L,YAO Y Y.Three-way Formal Concept Analysis[C]∥International Conference on Rough Sets and Knowledge Technology.Cham:Springer,2014:732-741.
[2]QI J J,QIAN T,WEI L.The Connections Between Three-way and Classical Concept Lattices [J].Knowledge-Based Systems,2016,91(C):143-151.
[3]REN R S,WEI L.The Attribute Reductions of Three-way Concept Lattices [J].Knowledge-Based Systems,2016,99(C):92-102.
[4]YAO Y Y.An Outline of A Theory of Three-way Decisions[C]∥ Rough Sets and Current Trends in Computing.Springer Berlin Heidelberg,2012:1-17.
[5]WILLE R.Restructuring Lattice Theory:An Approach Based on Hierarchies of Concepts [C]∥Proceedings of the NATO Advanced Study Institute.Dordrecht:Springer Berlin Heidelberg,1982:445-470.
[6]GANTER B,WILLE R.Formal Concept Analysis:Mathematical Foundations [M].Berlin Heidelberg:Springer-Verlag,1999.
[7]YAO Y Y.Interval Sets and Three-way Concept Analysis in Incomplete context [J].International Journal of Machine Learning &Cybernetics,2017,8(1):3-20.
[8]REN R S,WEI L,YAO Y Y.An Analysis of Three Types of Partially-known Formal Concepts [J/OL].International Journal of Machine Learning & Cybernetics.http://doi.org/10.1007/s13042-017-0743-z.
[9]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.
[10]LI J H,LV Y J.Attribute Reduction and Rules Extraction in Decision Formal Context based on Concept Lattice [J].Mathematics in Practice and Theory,2009,39(7):182-188.(in Chinese)
李金海,吕跃进.基于概念格的决策形式背景属性约简及规则提取[J].数学的实践与认识,2009,39(7):182-188.
[11]LI J H,MEI C L,LV Y J.A Heuristic Knowledge-reduction Method for Decision Formal Contexts [J].Computers and Mathematics with Applications,2011,61(4):1096-1106.
[12]LI J H,WANG J H,MEI C L,et al.Weakly Closed Label Concept Lattice and Its Application to Rule Acquisition in Decision Formal Contexts [C]∥Proceedings of International Conference on Machine Learning and Cybernetics.Piscataway:IEEE,2013:658-663.
[13]LI T.Knowledge Acquisition in Formal Decision Context [D].Xi’an:Northwest University,2013.(in Chinese)
李涛.决策形式背景的知识获取[D].西安:西北大学,2013.
[14]ZHU Z C,WEI L.Two-way Rules Acquisition based on Class Contexts [J].Journal of Northwest University (Natural Science Edition),2015,45(4):517-524.(in Chinese)
朱治春,魏玲.基于类背景的双向规则的获取[J].西北大学学报(自然科学版),2015,45(4):517-524.
[15]PREDIGER S.Formal Concept Analysis for General Objects [J].Discrete Applied Mathematics,2003,127(2):337-355.
[16]LIU L,QIAN T,WEI L.Rules Extraction in Formal Decision Contexts based on Attribute-induced Three-way Concept Lattices [J].Journal of Northwest University (Natural Science Edition),2016,46(4):481-487.(in Chinese)
刘琳,钱婷,魏玲.基于属性导出三支概格念的决策背景规则提取[J].西北大学学报(自然科学版),2016,46(4):481-487.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

三支类背景上的规则获取

Rules Acquisition on Three-way Class Contexts

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	延安, 闫心怡, 陈泽华. 一致决策信息系统规则提取的形式向量方法 Formal Vector Method of Rule Extraction for Consistent Decision Information System 计算机科学, 2019, 46(10): 236-241. https://doi.org/10.11896/jsjkx.190200270
[2]	赵凡,魏玲. D型概率决策形式背景下的规则获取 Rule Acquisition of D-type Probabilistic Decision Formal Context 计算机科学, 2017, 44(8): 274-279. https://doi.org/10.11896/j.issn.1002-137X.2017.08.047
[3]	钱文彬,杨炳儒,徐章艳,谢永红. 基于差别矩阵的不一致决策表规则获取算法 Rule Extraction Algorithm Based on Discernibility Matrix in Inconsistent Decision Table 计算机科学, 2013, 40(6): 215-218.
[4]	蒙祖强，周石泉. 不一致决策系统中基于粒度计算的广义决策规则获取方法研究 Research on Method of Generalized Decision Rule Acquisition Based on GrC in Inconsistent Decision Systems 计算机科学, 2012, 39(1): 198-202.
[5]	林晓斌叶东毅. 一种基于扩展差别矩阵的规则获取方法计算机科学, 2008, 35(3): 231-233.
[6]	瞿彬彬卢炎生. 不完备信息系统规则获取的矩阵算法计算机科学, 2007, 34(8): 193-195.
[7]	. 基于粗集的T细胞表位预测方法计算机科学, 2007, 34(6): 226-230.