An Information Represention for Attribute Reduction Based on Rough Set Theory
Yang Pei-liang
Abstract
Yang Pei-liang
Abstract
Professor Hu Guoding proposed a method of measuring information based on the philosophy that connotation and denotation of a concept satisfies inverse ratio rule.In this paper,we discuss the relationships between attribute reduction and information quantity based on the rough set theory and the information measurement proposed by professor Hu.And also we prove that the attribute reduction with algebraic and information representation is equivalent in a consistent decision table.Through example,it shows that attribute reduction of an inconsistent decision table cannot entirely be represented by information quantity.
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Professor Hu Guoding proposed a method of measuring information based on the philosophy that connotation and denotation of a concept satisfies inverse ratio rule.In this paper,we discuss the relationships between attribute reduction and information quantity based on the rough set theory and the information measurement proposed by professor Hu.And also we prove that the attribute reduction with algebraic and information representation is equivalent in a consistent decision table.Through example,it shows that attribute reduction of an inconsistent decision table cannot entirely be represented by information quantity.
Key concepts: Rough set, Denotation (semiotics), Decision table, Reduction (mathematics), Connotation, Representation (politics), Set (abstract data type), Mathematics