摘要
分别在完备和不完备形式背景下提出了三支区间集概念格模型,然后讨论对象诱导的三支区间集概念格与区间集概念格之间的关系,证明由区间集概念得到对象诱导的三支区间集概念的充要条件,并设计相应的算法。最后讨论对象诱导的三支区间集概念与经典概念之间的联系,证明由经典概念得到对象诱导的三支区间集概念的充要条件,并设计相应的算法。
This paper respectively proposes a three-way interval-set concept lattice model in complete and incomplete formal context, and systematically analyses the connections between the object-induced three-way interval-set concept lattice and the interval-set concept lattice. In addition, the necessary and sufficient conditions for constructing the object-induced three-way interval-set concept on the basis of the interval-set concept are proved, and the corresponding algorithm is formulated. Finally, the relationships between the object-induced three-way interval-set concept and the interval-set concept are studied. The necessary and sufficient conditions for constructing the object-induced three-way interval-set concept on the basis of the classical concept are proved.
作者
刘营营
米据生
梁美社
李磊军
LIU Ying-ying;MI Ju-sheng;LIANG Mei-she;LI Lei-jun(College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,Hebei,China;Shijiazhuang University of Applied Technology,Shijiazhuang 050081,Hebei,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2020年第3期70-80,共11页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(61573127,61502144)
河北省自然科学基金资助项目(F2018205196)
河北省高等学校科学技术研究项目(BJ2019014,QN2017095)
河北省博士后择优资助科研项目(B2016003013)
河北省“三三三人才工程”培养经费资助项目(A2017002112)
河北师范大学博士基金项目(L2017B19)
河北师范大学硕士研究生创新项目(CXZZSS2019062)。
关键词
概念格
区间集
形式概念分析
三支概念
concept lattice
interval set
formal concept analysis
three-way concept
作者简介
第一作者:刘营营(1994-),女,硕士研究生,研究方向为人工智能数学基础.E-mail:15732155710@163.com;通信作者:米据生(1966-),男,博士,教授,博导,研究方向为人工智能数学基础.E-mail:mijsh@263.net。
