模糊三支概念与模糊概念格的关系  

Therelations between Fuzzy Three-way Concept Lattices and Fuzzy Concept Lattices

作　　者：毛华[1,2] 程艺林 刘晓庆[1,2] MAO Hua;CHENG Yi-lin;LIU Xiao-qing(College of Mathematics and Information Science Hebei University,Baoding 071002,China;Hebei Key Laboratory of Machine Learning and Computational Intelligence,Baoding 071002,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]河北省机器学习与计算智能重点实验室,河北保定071002

出　　处：《模糊系统与数学》2020年第6期167-174,共8页Fuzzy Systems and Mathematics

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);河北省研究生创新项目(CXZZSS2020004)。

摘　　要：对于一个给定的信息系统而言,所讨论的对象和属性之间的关系可能并非是0或者1,而是通过模糊集、模糊关系定义的,因此模糊信息系统的研究越来越有价值。形式概念分析是研究信息系统的一种工具,其产生的模糊三支概念是信息提取的有力手段。模糊三支概念是将经典三支概念和模糊集相结合的一种新的概念,是对经典三支概念的一种拓展。由于经典三支概念与经典概念之间有着密切联系,因此对于模糊三支概念相关性质的讨论是很重要的。本文通过对模糊概念格与模糊三支概念格的研究,用等价类的方法得到了给定信息背景下模糊概念与模糊三支概念之间的对应关系。通过本文的方法,模糊三支概念格可以通过模糊概念格刻画,并因此得到了一种生成给定信息背景下的模糊三支概念格的算法。For a given information system,the relationship between the object and attribute in question may not be 0 or 1,but is defined by fuzzy sets and fuzzy relations.Therefore,the research of fuzzy information systems is becoming more and more valuable.Formal concept analysis is a tool for studying information systems,and the fuzzy three-way concept it produces is a powerful method for information extraction.Fuzzy three-way concept is a new kind of concept that combines the classical three-way concept with fuzzy set,and is an extension of the classical three-way concept.Because of the close connection between the classical three-way concept and the classical concept,it is very important to discuss the related properties of the fuzzy three-way concept.Through the research of fuzzy concept lattice and fuzzy three-way concept lattice,this paper obtains the corresponding relationship between fuzzy concept and fuzzy three-way concept under the given information background by the method of equivalence class.According to the method of this paper,the fuzzy three-way concept lattice can be described by the fuzzy concept lattice,and an algorithm for generating the fuzzy three-way concept lattice under the given information background is obtained.

关 键 词：模糊集 三支决策 格 形式概念分析 等价类 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]