Title :
Topological structures of intuitionistic fuzzy rough sets
Author :
Wu, Wei-Zhi ; Zhou, Lei
Author_Institution :
Sch. of Math., Zhejiang Ocean Univ., Zhoushan
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;
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
DOI :
10.1109/ICMLC.2008.4620478
