Article

Properties of the Fourth Type of Covering-Based Rough Sets

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William ZhuAuthors Info & Claims

HIS '06: Proceedings of the Sixth International Conference on Hybrid Intelligent Systems

Page 43

Published: 13 December 2006 Publication History

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Abstract

In the covering-based generalized rough set setting, lower and upper approximation operations generated by a covering do not satisfy some of common properties of classical lower and upper approximation operations. In this paper we investigate conditions for a covering under which these properties hold for the fourth type of covering-based lower and upper approximation operations.

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Wang LYang XYang JWu C(2012)Relationships among generalized rough sets in six coverings and pure reflexive neighborhood systemInformation Sciences: an International Journal10.1016/j.ins.2012.03.023207(66-78)Online publication date: 1-Nov-2012
https://dl.acm.org/doi/10.1016/j.ins.2012.03.023
Zhu WWang F(2012)The fourth type of covering-based rough setsInformation Sciences: an International Journal10.1016/j.ins.2012.01.026201(80-92)Online publication date: 1-Oct-2012
https://dl.acm.org/doi/10.1016/j.ins.2012.01.026
Yun ZGe XBai X(2011)Axiomatization and conditions for neighborhoods in a covering to form a partitionInformation Sciences: an International Journal10.1016/j.ins.2011.01.013181:9(1735-1740)Online publication date: 1-May-2011
https://dl.acm.org/doi/10.1016/j.ins.2011.01.013
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Properties of the Fourth Type of Covering-Based Rough Sets

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Published In

HIS '06: Proceedings of the Sixth International Conference on Hybrid Intelligent Systems

December 2006

ISBN:0769526624

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IEEE Computer Society

United States

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Published: 13 December 2006

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Wang LYang XYang JWu C(2012)Relationships among generalized rough sets in six coverings and pure reflexive neighborhood systemInformation Sciences: an International Journal10.1016/j.ins.2012.03.023207(66-78)Online publication date: 1-Nov-2012
https://dl.acm.org/doi/10.1016/j.ins.2012.03.023
Zhu WWang F(2012)The fourth type of covering-based rough setsInformation Sciences: an International Journal10.1016/j.ins.2012.01.026201(80-92)Online publication date: 1-Oct-2012
https://dl.acm.org/doi/10.1016/j.ins.2012.01.026
Yun ZGe XBai X(2011)Axiomatization and conditions for neighborhoods in a covering to form a partitionInformation Sciences: an International Journal10.1016/j.ins.2011.01.013181:9(1735-1740)Online publication date: 1-May-2011
https://dl.acm.org/doi/10.1016/j.ins.2011.01.013
Mohanty D(2010)Covering based approximation – a new type approachInternational Journal of Computational Vision and Robotics10.1504/IJCVR.2010.0380791:3(335-345)Online publication date: 1-Jan-2010
https://dl.acm.org/doi/10.1504/IJCVR.2010.038079
Tripathy BPanda GSohn SUm KKo FKwack KLee JKou GNakamura KFong AMa PChen LHwang SCho KKawata S(2009)On some properties of covering based approximations of classifications of setsProceedings of the 2nd International Conference on Interaction Sciences: Information Technology, Culture and Human10.1145/1655925.1656149(1227-1232)Online publication date: 24-Nov-2009
https://dl.acm.org/doi/10.1145/1655925.1656149
Zhu W(2009)Relationship among basic concepts in covering-based rough setsInformation Sciences: an International Journal10.1016/j.ins.2009.02.013179:14(2478-2486)Online publication date: 15-Jun-2009
https://dl.acm.org/doi/10.1016/j.ins.2009.02.013
Zhu W(2009)Relationship between generalized rough sets based on binary relation and coveringInformation Sciences: an International Journal10.1016/j.ins.2008.09.015179:3(210-225)Online publication date: 15-Jan-2009
https://dl.acm.org/doi/10.1016/j.ins.2008.09.015
Zhu WWang F(2007)On Three Types of Covering-Based Rough SetsIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2007.104419:8(1131-1144)Online publication date: 1-Aug-2007
https://dl.acm.org/doi/10.1109/TKDE.2007.1044

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The fourth type of covering-based rough sets

Relationships between covering-based rough sets and relation-based rough sets

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