Properties and axiomatization of fuzzy rough sets based on fuzzy covering

Author

Wu, Ming-fen ; Han, Hao-han ; Si, Yan-fei

Volume

1

fYear

2012

fDate

15-17 July 2012

Firstpage

184

Lastpage

189

Abstract

Some expanded fuzzy rough sets models have been investigated to handle fuzzy databases with uncertain, imprecise and incomplete real-valued information. In this paper, we make further research on fuzzy rough sets models in fuzzy environment, and we generalize rough fuzzy sets model based on a covering to fuzzy rough sets model based on a fuzzy covering. The lower and upper approximations of fuzzy subsets are defined based on a fuzzy covering, and basic properties are investigated. Then, the axiom definition of the lower approximation operator is given. It is shown that the rough fuzzy sets model based on a covering is a special instance of the fuzzy rough sets model based on a fuzzy covering.

Keywords

approximation theory; data mining; fuzzy set theory; rough set theory; fuzzy covering; fuzzy databases; fuzzy rough sets models; imprecise real-valued information; incomplete real-valued information; knowledge discovery; lower approximations; uncertain real-valued information; upper approximations; Abstracts; Axiomatization; Covering; Fuzzy covering; Fuzzy rough sets; Rough fuzzy sets;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2012 International Conference on

Conference_Location

Xian

ISSN

2160-133X

Print_ISBN

978-1-4673-1484-8

Type

conf

DOI

10.1109/ICMLC.2012.6358909

Filename

6358909