概念格理论与方法及其研究展望

doi:10.16451/j.cnki.issn1003-6059.202007005

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摘要

概念格理论与方法是形式概念分析研究中的基本内容,该研究已取得一系列的重要成果,主要集中在概念格模型推广、概念格构造、概念格约简、基于概念格的规则提取、概念知识空间、概念格的粒计算方法及概念格应用等研究方向.为了进一步促进形式概念分析的研究与发展,文中对现有的概念格理论与方法进行梳理、总结与展望.特别地,指出上述研究方向中存在的关键科学问题,进行一些理论分析,并提出初步的研究思路,为今后解决这些问题提供有益的参考.

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	李金海
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关键词 ：概念格, 形式概念分析, 粒计算, 粗糙集, 三支决策

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 words： Concept Lattice Formal Concept Analysis Granular Computing Rough Set Three-Way Decision

收稿日期: 2020-06-15

ZTFLH:

TP 18

基金资助:

国家自然科学基金项目(No.11971211,61772021,61972238)资助

通讯作者: 李金海,博士,教授,主要研究方向为认知计算、粒计算、大数据分析、概念格、粗糙集等.E-mail:jhlixjtu@163.com.

作者简介: 魏玲,博士,教授,主要研究方向为形式概念分析、粗糙集、粒计算等.E-mail:wl@nwu.edu.cn.张卓,博士,副教授,主要研究方向为分布式人工智能、形式概念分析及其应用等.E-mail:iezhangzhuo@zzu.edu.cn.翟岩慧,博士,副教授,主要研究方向为知识表示与推理、粒计算、概念格等.E-mail:chai_yanhui@163.com.张涛,博士,副教授,主要研究方向为概念格、粒计算、机器学习等.E-mail:zhtao@ysu.edu.cn.智慧来,博士,副教授,主要研究方向为粒计算、形式概念分析、粗糙集等.E-mail:zhihuilai@126.com.米允龙,博士,讲师,主要研究方向为数据挖掘、神经网络、形式概念分析等.E-mail:MiYunlong17@mails.ucas.ac.cn.

引用本文:

李金海, 魏玲, 张卓, 翟岩慧, 张涛, 智慧来, 米允龙. 概念格理论与方法及其研究展望[J]. 模式识别与人工智能, 2020, 33(7): 619-642. LI Jinhai, WEI Ling, ZHANG Zhuo, ZHAI Yanhui, ZHANG Tao, ZHI Huilai, MI Yunlong. Concept Lattice Theory and Method and Their Research Prospect. , 2020, 33(7): 619-642.

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