模糊β-最小和最大描述的矩阵表示新方法  

New Matrix Representations of Fuzzy β-Minimal and Maximal Descriptions

作　　者：王新武 WANG Xin-wu(Department of Public Education,Gansu Medical College,Gansu Pingliang,744000)

机构地区：[1]甘肃医学院公共课教学部,甘肃平凉744000

出　　处：《模糊系统与数学》2024年第2期182-190,共9页Fuzzy Systems and Mathematics

摘　　要：模糊β最小和最大描述是信息系统中剔除对象允余信息的两个非常有效的概念,如何快速地计算它们以提高数据挖掘的效率是一个函待解决的问题。本文以矩阵为工具,提出两种计算模糊β最小和最大描述的新方法。首先,在已有方法的基础上,提出模糊β覆盖关于每个元素的关系矩阵,以及相应的矩阵运算。其次,提出第一类计算模糊β最小和最大描述的矩阵方法。最后,在上述研究的基础上,提出模糊β覆盖块之间包含关系的矩阵计算方法,提出第二类计算模糊β最小和最大描述的矩阵方法。Fuzzy β-minimal and β-maximal descriptions are two very effective concepts to eliminate redundant information of objects in information systems.How to calculate them quickly to improve the efficiency of data mining is an urgent problem to be solved.In this paper,two new methods for calculating fuzzy β-minimal and β-maximal descriptions are proposed using matrix as a tool.Firstly,on the basis of the existing methods,the relation matrix of a fuzzy β-covering about each element and corresponding matrix operations are proposed.Secondly,the first kind of matrix method for calculating fuzzy β-minimal and β-maximal description is proposed.Finally,on the basis of the above research,the matrix calculation method of fuzzy inclusion relation and the second kind of the matrix calculation method for fuzzy β-minimal and β-maximal descriptions are proposed.

关 键 词：粗糙集 粒计算 模糊β最小描述 模糊β最大描述 模糊粗糙集 

分 类 号：O29[理学—应用数学]