ROUGH SET OVER DUAL-UNIVERSES IN FUZZY APPROXIMATION SPACE
نویسندگان
1 Glorious Sun School of Business Administration, Donghua Univer- sity, Shanghai 200051, P. R.China
2 Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210046, P.R.China
3 School of Management, Shanghai University of Engineering Science, Shanghai 201620, P. R. China and Glorious Sun School of Business Administration, Donghua Universty, Shanghai 200051, P. R.China
4 College of Mathematics and Information Sciences of Guangxi Univer- sity, Naning 530004, P. R. China and Glorious Sun School of Business Administration, Donghua Universty, Shanghai 200051, P. R.China
doi
10.22111/ijfs.2012.148چکیده
To tackle the problem with inexact, uncertainty and vague knowl- edge, constructive method is utilized to formulate lower and upper approx- imation sets. Rough set model over dual-universes in fuzzy approximation space is constructed. In this paper, we introduce the concept of rough set over dual-universes in fuzzy approximation space by means of cut set. Then, we discuss properties of rough set over dual-universes in fuzzy approximation space from two viewpoints: approximation operators and cut set of fuzzy set. Reduction of attributes and rules extraction of rough set over dual-universes in fuzzy approximation space are presented. Finally, an example of disease diagnoses expert system illustrates the possibility and eciency of rough set over dual-universes in fuzzy approximation space.
