Topological structures of intuitionistic fuzzy rough sets

Author

Wu, Wei-Zhi ; Zhou, Lei

Author_Institution

Sch. of Math., Zhejiang Ocean Univ., Zhoushan

Volume

1

fYear

2008

fDate

12-15 July 2008

Firstpage

618

Lastpage

623

Abstract

In this paper, we investigate the topological structures of intuitionistic fuzzy rough sets. It is shown that an intuitionistic fuzzy rough approximation space can induce an intuitionistic fuzzy topological space if and only if the intuitionistic fuzzy relation in the approximation space is reflexive and transitive. The sufficient and necessary conditions that an intuitionistic fuzzy interior (closure, respectively) operator in an intuitionistic fuzzy topological space can associaete with an intuitionistic fuzzy reflexive and transitive relation such that the inducing intuitionistic fuzzy rough lower (upper, respectively) approximation operator is the intuitionistic fuzzy interior (closure, respectively) operator are also examined.

Keywords

approximation theory; fuzzy set theory; rough set theory; topology; fuzzy interior operator; fuzzy rough lower approximation operator; fuzzy topological space; intuitionistic fuzzy reflexive; intuitionistic fuzzy rough sets; topological structures; Cybernetics; Fuzzy sets; Fuzzy systems; Information science; Machine learning; Mathematics; Oceans; Physics; Rough sets; Set theory; Approximation operators; approximation spaces; intuitionistic fuzzy sets; intuitionistic fuzzy topology; rough sets; topological spaces;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2008 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-2095-7

Electronic_ISBN

978-1-4244-2096-4

Type

conf

DOI

10.1109/ICMLC.2008.4620478

Filename

4620478