A Many-Valued Approach to Fuzzy Rough Set

Author

Jin, Qiu ; Li, Lingqiang ; Meng, Guangwu ; Sun, ShouBin

Author_Institution

Dept. of Math., Liaocheng Univ., Liaocheng, China

Volume

1

fYear

2010

fDate

11-12 May 2010

Firstpage

148

Lastpage

150

Abstract

In this paper, in the framework of many-valued logic, the crisp lower and upper approximation operators of rough set theory are generalized to fuzzy environment, and the basic properties of that two operators are studied. Also, it is proved that our upper approximation operator is a generalization of T-upper fuzzy approximation operator defined by Mi [cf. J.S. Mi, Y. Leung, H.Y. Zhao, T. Feng, Generalized fuzzy rough sets determined by a triangular norm, Information Sciences 178(2008) 3203-3213], but the lower approximation is quite different from the corresponding T-lower fuzzy approximation operator.

Keywords

approximation theory; fuzzy set theory; multivalued logic; rough set theory; fuzzy rough set theory; lower fuzzy approximation operators; many-valued logic; Automation; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Lattices; Mathematics; Multivalued logic; Rough sets; Set theory; Sun; Fuzzy relation; Many-valued logic; Residuated lattice; fuzzy rough set;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on

Conference_Location

Changsha

Print_ISBN

978-1-4244-7279-6

Electronic_ISBN

978-1-4244-7280-2

Type

conf

DOI

10.1109/ICICTA.2010.206

Filename

5523397