Rough Fuzzy Sets in Generalized Approximation Space

Author

Sun, Bingzhen ; Gong, Zengtai

Author_Institution

Sch. of Traffic & Transp., Lanzhou Jiaotong Univ., Lanzhou

Volume

1

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

416

Lastpage

420

Abstract

The objective of this paper is to provide a new generalizations of rough fuzzy sets in generalized approximation space. The equivalance relations are viewed as a special type of an binary relations of a universe. Then, the rough fuzzy sets in generalized approximation space is defined. Furthermore, the relationships between generalizations rough fuzzy sets and the rough fuzzy sets, which is proposed by Dubois and Prade first time, Pawlak rough set , etc are investigated. Some propseties of the generalizations rough fuzzy sets are discussed. Meanwhile, the roughness and precision of the generalizations rough fuzzy sets are illuminated, too. At last, the definitions of the rough fuzzy sets in generalized approximation space based on the others binary relations are built.

Keywords

approximation theory; fuzzy set theory; rough set theory; generalizations rough fuzzy sets; generalized approximation space; rough fuzzy sets; Data analysis; Data mining; Educational institutions; Fuzzy sets; Fuzzy systems; Knowledge acquisition; Rough sets; Set theory; Sun; Transportation; Binary Relations; Fuzzy Sets; Generalized Approximation Space; Rough Fuzzy Sets; Rough Sets; level set of fuzzy sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on

Conference_Location

Shandong

Print_ISBN

978-0-7695-3305-6

Type

conf

DOI

10.1109/FSKD.2008.178

Filename

4666011