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  2020, Vol. 33 Issue (7): 619-642    DOI: 10.16451/j.cnki.issn1003-6059.202007005
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Concept Lattice Theory and Method and Their Research Prospect
LI Jinhai1,2, WEI Ling3, ZHANG Zhuo4, ZHAI Yanhui5, ZHANG Tao6, ZHI Huilai7, MI Yunlong8
1. Data Science Research Center, Kunming University of Science and Technology, Kunming 650500
2. Faculty of Science, Kunming University of Science and Technology, Kunming 650500
3. School of Mathematics, Northwest University, Xi'an 710127
4. School of Information Engineering, Zhengzhou University, Zhengzhou 450001
5. School of Computer and Information Technology, Shanxi University, Taiyuan 030006
6. School of Information Science and Engineering, Yanshan University, Qinhuangdao 066004
7. College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000
8. School of Computer Science and Technology, University of Chinese Academy of Sciences, Beijing 100049

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Abstract  

Concept lattice theory and method are the basic topics in the study of formal concept analysis, and important achievements are obtained. The previous study mainly focus on the generalization of concept lattice models, concept lattice construction, concept lattice reduction, concept lattice based rule acquisition, conceptual knowledge space, granular computing method for concept lattice and concept lattice applications. To further promote the study and the development of formal concept analysis theory, the existing research on theories and methods of concept lattice is summarized in detail, and an outlook is also produced for the researchers. Especially, it is pointed out that there are some key scientific problems in the above researches, a theoretical analysis of these problems is presented, and some preliminary research thoughts are provided as well. The obtained results offer a useful piece of advice for solving the problems in the future.

Key wordsConcept Lattice      Formal Concept Analysis      Granular Computing      Rough Set      Three-Way Decision     
Received: 15 June 2020     
ZTFLH: TP 18  
Fund:

Supported by National Natural Science Foundation of China(No.11971211,61772021,61972238)

Corresponding Authors: LI Jinhai, Ph.D., professor. His research interests include cognitive computing, granular computing, big data analysis, concept lattice and rough set.   
About author:: WEI Ling,Ph.D., professor. Her research interests include formal concept analysis, rough set and granular computing.ZHANG Zhuo, Ph.D., associate professor. His research interests include distributed artificial intelligence, and formal concept analysis and its application.ZHAI Yanhui, Ph.D., associate professor. His research interests include knowledge re-presentation and reasoning, granular computing and concept lattice.ZHANG Tao, Ph.D., associate professor. His research interests include concept lattice, granular computing and machine learning.ZHI Huilai, Ph.D., associate professor. His research interests include granular computing, formal concept analysis and rough set.MI Yunlong, Ph.D., lecturer. His research interests include data mining, neural network and formal concept analysis.
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LI Jinhai
WEI Ling
ZHANG Zhuo
ZHAI Yanhui
ZHANG Tao
ZHI Huilai
MI Yunlong
Cite this article:   
LI Jinhai,WEI Ling,ZHANG Zhuo等. Concept Lattice Theory and Method and Their Research Prospect[J]. , 2020, 33(7): 619-642.
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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.202007005      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2020/V33/I7/619
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