基于信息熵的形式背景属性约简

doi:10.16451/j.cnki.issn1003-6059.202009003

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Abstract Attribute significances and attribute reduction are crucial in formal concept analysis. Some approaches to attribute reduction of formal context are proposed based on information entropy. Firstly, information entropy, conditional entropy and mutual information of formal context are defined, and attribute reduction by means of conditional entropy is conducted in consistent decision formal context. The equivalence between the granular consistency and the entropy consistency in decision formal context is produced. Secondly, limitary information entropy, limitary conditional entropy and limitary mutual information are proposed, and attribute reductions are conducted by means of limitary conditional entropy in inconsistent formal decision context. Finally, the attribute reduction algorithms of consistent and inconsistent formal decision contexts are proposed by the significance of attributes, and numerical experiments show the efficiency of the proposed algorithms.

Key words： Formal Context Information Entropy Conditional Entropy Limitary Conditional Entropy Attribute Reduction

Received: 22 June 2020

ZTFLH:

TP 18

Fund:National Natural Science Foundation of China(No.11871259,11701258), Program for Innovative Research Team in Science and Technology in University of Fujian Province, Quanzhou High-Level Talents Support Plan(No.2017ZT012)

Corresponding Authors: LI Jinjin,Ph.D.,professor. His research interests include topology, rough set and concept lattice.

About author:: CHEN Dongxiao, master, lecturer. His research interests include rough set and concept lattice.LIN Rongde,Ph.D.,associate professor. His research interests include artificial intelligence and computer systems.CHEN Yingsheng, master, lecturer. His re-search interests include rough set and concept lattice.

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Cite this article:

CHEN Dongxiao,LI Jinjin,LIN Rongde等. Attribute Reductions of Formal Context Based on Information Entropy[J]. , 2020, 33(9): 786-798.

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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.202009003 OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2020/V33/I9/786

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