### 概念格中基于粗糙熵的属性约简方法

1. 河北师范大学信息技术学院 石家庄050024;河北省网络与信息安全重点实验室 石家庄050024,河北师范大学数学与信息科学学院 石家庄050024;河北省计算数学与应用重点实验室 石家庄050024,河北师范大学数学与信息科学学院 石家庄050024;河北省计算数学与应用重点实验室 石家庄050024,河北师范大学信息技术学院 石家庄050024;河北省网络与信息安全重点实验室 石家庄050024
• 出版日期:2018-01-15 发布日期:2018-11-13
• 基金资助:
本文受国家自然科学基金项目(61502144,7,61672206,2),河北省高等学校自然科学基金项目(QN2017095,QN2016133),河北省高校创新团队领军人才培育计划项目(LJRC022),河北省博士后择优资助

### Rough Entropy Based Algorithm for Attribute Reduction in Concept Lattice

LI Mei-zheng, LI Lei-jun, MI Ju-sheng and XIE Bin

• Online:2018-01-15 Published:2018-11-13

Abstract: Attribute reduction is one of the crucial issues in the theory study of concept lattice.In this paper,rough entropy was introduced to conduct a kind of attribute reduction.Firstly,rough entropy in a formal context was defined via the whole set of all concept extents,and the properties of rough entropy were analyzed.Secondly,a rough entropy based attribute reduction of a formal context was given,and the relationship between the rough entropy-based reduct and the concept lattice-based reduct was revealed.Based on this,a heuristic algorithm based on the attribute significance was proposed to compute a rough entropy-based reduct,and some numerical experiments were conducted to show the efficiency of the proposed methods.

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