Fuzzy rough sets based on hybrid monotonic inclusion measures and similarity measures

Author

Zhang, Hongying ; Dong, Minggao ; Qi, Jianjun

Author_Institution

Fac. of Sci., Xi´´an Jiaotong Univ., Xi´´an, China

fYear

2010

fDate

12-14 July 2010

Firstpage

1

Lastpage

5

Abstract

Rough set theory and fuzzy set theory hold the topic of dealing with imperfect knowledge. Recent literature have shown both theories can be combined into a more expressive framework for modeling and processing incomplete information systems. According to the hierarchical characteristic of fuzzy sets, this paper presents the definitions of λ-weak fuzzy approximation space and IS_λ-fuzzy rough set based on a hybrid monotonic inclusion measure and a similarity measure. The properties of the IS_λ-fuzzy rough set are investigated. The approximate operators of a fuzzy decision concept and the relative decision rules will be derived from the fuzzy rough approximate operators.

Keywords

approximation theory; fuzzy set theory; rough set theory; fuzzy decision concept; fuzzy rough sets; fuzzy set theory; hybrid monotonic inclusion measurement; incomplete information systems; relative decision rules; rough set theory; similarity measurement; weak fuzzy approximation space; Extraterrestrial measurements; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information systems; Performance evaluation; Rough sets; Set theory; Testing; Fuzzy rough sets; decision rule; hybrid monotonic inclusion measure;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society (NAFIPS), 2010 Annual Meeting of the North American

Conference_Location

Toronto, ON

Print_ISBN

978-1-4244-7859-0

Electronic_ISBN

978-1-4244-7857-6

Type

conf

DOI

10.1109/NAFIPS.2010.5548288

Filename

5548288