郑州大学学报（理学版）2024，Vol.56Issue(1)：68-74,7.DOI:10.13705/j.issn.1671-6841.2022217
基于依赖空间的对象导出三支概念格的属性约简
Attribute Reduction of Object-induced Three-way Concept Lattices Based on Dependence Spaces
摘要
Abstract
Based on a dependence space,a novel definition of attribute reduction of object-induced three-way concept lattice was defined for a given formal context.The related approaches of attribute reduction were also discussed.Firstly,a congruence relation was defined based on the three-way operator on the power set of the object set.A dependence space was then generated.By using the dependence space,the corresponding closed element was produced.The relationship between the closed element and the exten-sion of object-induced three-way concept was studied.Secondly,attribute reduction of object-induced three-way concept lattices was introduced based on the dependence space.It was the minimal attribute subset which preserved the congruence relation determined by the original attribute set.Finally,the judg-ment theorem for a consistent set was discussed.Discernibility matrix and discernibility function were used to obtain all attribute reductions.关键词
对象导出三支概念格/一致关系/依赖空间/属性约简/可辨识属性矩阵Key words
object-induced three-way concept lattice/congruence relation/dependence space/attribute reduction/discernibility matrix分类
信息技术与安全科学引用本文复制引用
丁娜,马建敏,贺青青..基于依赖空间的对象导出三支概念格的属性约简[J].郑州大学学报（理学版）,2024,56(1):68-74,7.基金项目
国家自然科学基金项目(61772019,61603278). （61772019,61603278）
