山西大学学报（自然科学版）2022，Vol.45Issue(1)：77-86,10.DOI:10.13451/j.sxu.ns.2021063
净化属性对偶背景下完全格的形式概念分析
Characterization of Formal Concept Analysis for Complete Lattice in the Clarified Attribute Dual Context
摘要
Abstract
Formal concept analysis is an effective tool for data analysis and knowledge acquisition, and the three-way concept lattice is an extension of the concept lattice. In formal concept analysis, complete lattice has isomorphic relation with concept lattice, but not every complete lattice is isomorphic to three-way concept lattice. We study the properties of atoms, irreducible elements, com-plements and∨-simplification law of concept lattice in the clarified attribute dual context, and discuss the isomorphism among com-plete lattice, negative concept lattice and three-way concept lattice. Within conditional constraints, we have produced a characteriza-tion transformation of complete lattice to concept lattice, negative concept lattice and three-way concept lattice.关键词
形式概念分析/完全格/概念格/三支概念格/负概念格Key words
formal concept analysis/complete lattice/concept lattice/three-way concept lattice/negative concept lattice分类
信息技术与安全科学引用本文复制引用
万仁霞,李梅,苗夺谦..净化属性对偶背景下完全格的形式概念分析[J].山西大学学报（自然科学版）,2022,45(1):77-86,10.基金项目
国家自然科学基金(61662001 （）
61762002) （）
中央高校基本科研业务费专项基金(FWNX04) （FWNX04）
宁夏自然科学基金(2021AAC03203) （2021AAC03203）
