Fuzzy Rough Set Model Based on Multi-fuzzy Granulations

Author

Wu, Mingfen ; Kou, Guangxue

Author_Institution

Sch. of Comput. Sci., Wuyi Univ., Jiangmen, China

fYear

2010

fDate

14-16 Aug. 2010

Firstpage

530

Lastpage

535

Abstract

Based on opinions of Y. H. Qian and J. Y. Liang about MGRS model, we make further research about these rough set models in fuzzy environment. The lower and upper approximations of fuzzy sets are defined based multi-fuzzy equivalence relations, and basic properties are investigated. It is shown that basic properties of fuzzy rough sets and MGRS models are special instance of MFGRS model. Afterwards, we propose an approximation measure of fuzzy sets based multi-fuzzy granulations, and the approximation of a fuzzy set described using multi-fuzzy granulations is always better than using single fuzzy granulation.

Keywords

approximation theory; fuzzy set theory; rough set theory; MGRS model; fuzzy rough set model; fuzzy sets approximation; multifuzzy equivalence relation; multifuzzy granulation; Approximation methods; Computational modeling; Extraterrestrial measurements; Fuzzy sets; Knowledge based systems; Rough sets; Fuzzy rough set; approximation measure; fuzzy equivalence relation; fuzzy knowledge base; lower (upper) approximation; multi-fuzzy granulations;

fLanguage

English

Publisher

ieee

Conference_Titel

Granular Computing (GrC), 2010 IEEE International Conference on

Conference_Location

San Jose, CA

Print_ISBN

978-1-4244-7964-1

Type

conf

DOI

10.1109/GrC.2010.127

Filename

5575985