Properties of Approximation operators of logical AND operation of precision and grade

Author

Xianyong Zhang ; Zhiwen Mo ; Fang Xiong

Author_Institution

College of Mathematics and Software Science, Sichuan Normal University, SICNU, Chengdu, 610068, China

Volume

1

fYear

2009

fDate

20-22 Nov. 2009

Firstpage

33

Lastpage

37

Abstract

Precision and grade are two important indexes for quantitative research. This paper is to research relationship and combination between precision and grade, and explore new extended rough set model. First it obtains relationship and transformation formulas between variable precision approximations and grade approximations. Then based on logical AND operation of precision and grade, rough set model of logical AND operation of precision and grade is proposed. In the new model, approximation operators of logical AND operation of precision and grade are studied, and their propertion are obtained, such as the power action. The new rough set model has extended variable precision rough set model, graded rough set model and classical rough set model, graded rough set models have classical rough set model, and so these rough set models have obtained the corresponding power action of approximation operators.

Keywords

Decision support systems; artificial intelligence; evaluation function; grade; graded rough set; logical operation; precision; rough set theory; variable precision rough set;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computing and Intelligent Systems, 2009. ICIS 2009. IEEE International Conference on

Conference_Location

Shanghai, China

Print_ISBN

978-1-4244-4754-1

Electronic_ISBN

978-1-4244-4738-1

Type

conf

DOI

10.1109/ICICISYS.2009.5357938

Filename

5357938