Theory for intuitionistic fuzzy rough sets of two universes

Author

Sun, Bing-zhen ; Ma, Wei-min ; Liu, Qin

Volume

1

fYear

2011

fDate

10-13 July 2011

Firstpage

307

Lastpage

312

Abstract

The combination of the rough sets theory with intuitionistic fuzzy sets is a novel theory and a flourish research community in dealing with uncertaintydecision or incomplete and imprecise information. This paper studies the primary theory of intuitionistic fuzzy rough sets over two universes. Firstly, we establish the intuitionistic fuzzy rough sets model over two universes with a constructive approach. Then, we study the properties of lower and upper approximation operators of intuitionistic fuzzy rough sets in the fuzzy approximation space of two universes. At the same time, we introduce the definition of the level cut sets for intuitionistic fuzzy rough sets over two universes. Finally, we establish the decomposition theorem for intuitionistic fuzzy rough sets over two universes according to the definitions of level cut sets.

Keywords

approximation theory; fuzzy set theory; mathematical operators; rough set theory; fuzzy approximation space; intuitionistic fuzzy rough sets model; level cut sets; lower approximation operators; rough sets theory; two universes; upper approximation operators; Decomposition theorem; Intuitionistic fuzzy rough sets; Two universes fuzzy approximation space;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics (ICMLC), 2011 International Conference on

Conference_Location

Guilin

ISSN

2160-133X

Print_ISBN

978-1-4577-0305-8

Type

conf

DOI

10.1109/ICMLC.2011.6016829

Filename

6016829