New Matrix Representations of Fuzzy β-Minimal and Maximal Descriptions
Fuzzy β-minimal and β-maximal descriptions are two very effective concepts to eliminate redundant informa-tion of objects in information systems.How to calculate them quickly to improve the efficiency of data mining is an ur-gent 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-cover-ing 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.
Rough setCranular computingFuzzy β-minimal descriptionFuzzy β-maximal descriptionFuzzy rough set