Special types of coverings and axiomatization of rough sets based on partial orders
作者： Guilong Liu
DOI: 10.1016/J.KNOSYS.2015.05.018
关键词:
摘要: Give conditions for neighborhoods in a covering form reduction of the covering.Give lower and upper approximations are dual to each other.Axiomatize rough based on partial orders. Covering sets generalization Pawlak sets, which partition universal set induced by an equivalence relation is replaced covering. In this paper, transformed into generalized binary relations. The paper discusses three theoretical topics. First, we consider special type covering, obtain necessary sufficient Second, study another give be other. Finally, axiomatic system that characterizes order.
sci-hub.se 参考文章(30)
Zdzisław Pawlak, Rough Sets: Theoretical Aspects of Reasoning about Data ,(1991)
Davide Ciucci, Temporal dynamics in rough sets based on coverings rough sets and knowledge technology. ,vol. 6401, pp. 126- 133 ,(2010) , 10.1007/978-3-642-16248-0_22
Yan-Lan Zhang, Mao-Kang Luo, Relationships between covering-based rough sets and relation-based rough sets Information Sciences. ,vol. 225, pp. 55- 71 ,(2013) , 10.1016/J.INS.2012.10.018
Michiro Kondo, On the structure of generalized rough sets Information Sciences. ,vol. 176, pp. 589- 600 ,(2006) , 10.1016/J.INS.2005.01.001
Ping Zhu, Covering rough sets based on neighborhoods: An approach without using neighborhoods International Journal of Approximate Reasoning. ,vol. 52, pp. 461- 472 ,(2011) , 10.1016/J.IJAR.2010.10.005
E.F. Lashin, A.M. Kozae, A.A. Abo Khadra, T. Medhat, Rough set theory for topological spaces International Journal of Approximate Reasoning. ,vol. 40, pp. 35- 43 ,(2005) , 10.1016/J.IJAR.2004.11.007
Guilong Liu, Ying Sai, Invertible approximation operators of generalized rough sets and fuzzy rough sets Information Sciences. ,vol. 180, pp. 2221- 2229 ,(2010) , 10.1016/J.INS.2010.01.033
Jianhua Dai, Qing Xu, Approximations and uncertainty measures in incomplete information systems Information Sciences. ,vol. 198, pp. 62- 80 ,(2012) , 10.1016/J.INS.2012.02.032
Guilong Liu, Ying Sai, A comparison of two types of rough sets induced by coverings International Journal of Approximate Reasoning. ,vol. 50, pp. 521- 528 ,(2009) , 10.1016/J.IJAR.2008.11.001
William Zhu, Fei-Yue Wang, Reduction and axiomization of covering generalized rough sets Information Sciences. ,vol. 152, pp. 217- 230 ,(2003) , 10.1016/S0020-0255(03)00056-2