摘要
通过正向尺度化和反向尺度化方法,研究信息系统与形式背景之间的相互转化关系,利用经典形式背景给出多粒度标记形式背景的定义,证明多粒度标记形式背景与多粒度标记信息系统在语义上等价。对于多粒度标记形式背景,不同粒度标记下的蕴涵规则之间可以相互推理。所得结论为今后进一步研究形式概念分析的多粒度标记方法提供了理论基础。
By using forward and backward scaling approaches,the transformation relationship between information systems and formal contexts was clarified,and the notion of a multi-scale formal context was formally defined. It was verified that multi-scale formal contexts and multi-scale information systems could semantically be equivalent to each other. As for a multi-scale formal context,implication rules obtained from different scales were induced by each other. The obtained results could provide a theoretical reference for the further research of multi-scale approaches in formal concept analysis.
作者
李金海
吴伟志
邓硕
LI Jin-hai;WU Wei-zhi;DENG Shuo(Data Science Research Center,Kunming University of Science and Technology,Kunming 650500,Yunnan,China;Faculty of Science,Kunming University of Science and Technology,Kunming 650500,Yunnan,China;School of Mathematics,Physics and Information Science,Zhejiang Ocean University,Zhoushan 316022,Zhejiang,China;Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province,Zhejiang Ocean University,Zhoushan 316022,Zhejiang,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第2期30-40,共11页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(61562050
61573173
61573321
41631179)
浙江省海洋大数据挖掘与应用重点实验室开放课题资助项目(OBDMA201502)
关键词
粒计算
粗糙集
概念格
形式背景
多粒度标记
granular computing
rough set
concept lattice
formal context
multi-scale
作者简介
第一作者:李金海(1984—),男,博士,教授,博士生导师,研究方向为粗糙集、概念格与粒计算.E-mail:jhlixjtu@163.com.
