面向对象的模糊三支半概念  

Object-induced fuzzy three-way semiconcept

作　　者：毛华[1,2] 刘晓庆[1,2] 程艺林 MAO Hua;LIU Xiaoqing;CHENG Yilin(College of Mathematics and Information Science,Hebei University,Baoding 071002,Hebei China;Hebei Key Laboratory of Machine Learning and Computational Intelligence,Hebei University,Baoding 071002,Hebei China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071002 [2]河北大学河北省机器学习与计算机智能重点实验室,河北保定071002

出　　处：《华中科技大学学报（自然科学版）》2021年第2期74-78,共5页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61572011);河北省自然科学基金资助项目(A201820117);河北省研究生创新资助项目(CXZZSS2020004)。

摘　　要：将经典半概念理论引入模糊三支概念进行分析,单向地考虑对象集与属性集之间的关系,从而推广模糊三支概念的应用。在模糊形式背景下,首先,根据对象和属性之间的隶属度关系以及给定阈值,定义了面向对象的模糊三支半算子;然后,提出面向对象的模糊三支半概念的定义,从格论角度出发讨论其偏序关系以及上下确界,并进行相关定理的证明;最后,给出面向对象的模糊三支半概念的构建算法并结合例子验证所得结果的有效性。基于经典半概念与经典概念分析的关系,面向对象的模糊三支半概念理论是对模糊三支概念的拓广,也为数据处理和知识挖掘等提供了更简便的思路。The classical semiconcept theory was introduced into three-way fuzzy concept analysis, and the relationship between object set and attribute set was considered unidirectionally,so as to popularize the application of three-way fuzzy concept analysis.Under a fuzzy formal context,firstly,according to the membership relation between object and attribute and the given threshold,the object-induced fuzzy three-way semi-operator was defined. Secondly,the definition of the object-induced fuzzy three-way semiconcept was proposed,and the partial order relation and upper and lower certainty boundary were discussed from the point of view of lattice theory,and the related theorems were proved.Finally,the corresponding algorithm was presented and examples were given to verify the effectiveness of the results.Based on the relationship between classical semiconcept and classical formal concept analysis,the object-induced fuzzy three-way semiconcept is not only the extension of three-way fuzzy concept analysis,but also provides a more convenient way for data processing and knowledge mining.

关 键 词：模糊三支概念分析 半概念 模糊集 形式概念分析 三支决策 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]