Title :
Topological Properties in Covering-Based Rough Sets
Author :
Zhu, William ; Wang, Fei-Yue
Author_Institution :
Univ. of Auckland, Auckland
Abstract :
In covering setting, there are five types of rough set models in literature, but only one type of them has been studied from the point of topological view. In this paper, we address the topological properties in the other four types of covering-based rough sets; especially we present the conditions under which lower approximation operations become interior operators and the conditions under which the upper approximation operations become closure operators.
Keywords :
rough set theory; topology; closure operators; covering-based rough sets; interior operators; lower approximation operation; rough set model; topological properties; upper approximation operation; Automation; Computer science; Environmental economics; Fuzzy set theory; Industrial engineering; Medical diagnosis; Process control; Rough sets; Set theory; Topology;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.592
