Topological Properties in Covering-Based Rough Sets

Authors:
William Zhu;Fei-Yue Wang
Affiliations:
University of Auckland;Chinese Academy of Sciences Beijing 100080, China
Venue:
FSKD '07 Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 01
Year:
2007

Citing 0
Cited 2

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Abstract

In covering setting, there are five types of rough set mod- els in literature, but only one type of them has been studied from the point of topological view. In this paper, we ad- dress the topological properties in the other four types of covering-based rough sets; especially we present the condi- tions under which lower approximation operations become interior operators and the conditions under which the upper approximation operations become closure operators.