Neighbourhood systems based attribute reduction in formal decision contexts

CAAI Transactions on Intelligence Technology

article

Xiaohe Zhang¹  Jusheng Mi¹  Meizheng Li²  Meishe Liang¹ 

[1] College of Mathematics and Information Science, Hebei Normal University;College of Computer and Cyber Security, Hebei Normal University;Shijiazhuang Vocational Technology Institute

关键词: formal concept analysis;    matrix algebra;    rough set theory;    consistent formal decision context;    neighbourhood systems;    attribute reduction;    redundant condition;    inconsistent formal decision contexts;    decision rules;    discernibility matrix;    C1110 Algebra;    C1160 Combinatorial mathematics;    C6170K Knowledge engineering techniques;   

DOI  :  10.1049/trit.2019.0039

学科分类：数学（综合）

来源: Wiley

【 摘 要 】

Attribute reduction of formal decision context mainly uses the relationship between two concept lattices generated by the condition and decision attributes to remove redundant condition attributes. By using decision attributes to observe the covering of objects, this study defines two types of consistent sets and reducts in a consistent formal decision context based on neighbourhood systems. Four types of reductions in inconsistent formal decision contexts are also studied. The methods to calculate all types of reductions are formulated by discernibility matrix. Finally, an approach to obtain the decision rules in consistent formal decision context is proposed.

【 授权许可】

CC BY|CC BY-ND|CC BY-NC|CC BY-NC-ND