Title :
Rough Fuzzy Sets in Generalized Approximation Space
Author :
Sun, Bingzhen ; Gong, Zengtai
Author_Institution :
Sch. of Traffic & Transp., Lanzhou Jiaotong Univ., Lanzhou
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;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.178
