On axiomatic characterizations of three pairs of covering based approximation operators
On axiomatic characterizations of three pairs of covering based approximation operators
复制标题
三对基于覆盖的近似算子的公理表征
DOI：
10.1016/j.ins.2009.08.031
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发表时间：
2010
影响因子：
8.1
通讯作者：
Wei-Zhi Wu
中科院分区：
文献类型：
--
作者：
Yan-Lan Zhang;Jin-Jin Li;Wei-Zhi Wu
粗糙集理论是处理信息系统中不精确、不确定或模糊知识的有用工具。经典的粗糙集理论基于等价关系，并已推广到基于覆盖的广义粗糙集理论。本文研究了公理化方法中覆盖广义粗糙集的三种类型。首先回顾了每种类型的基于覆盖的近似算子的概念和基本属性。然后建立了基于覆盖的近似算子的公理系统。还检查了用于表征每种类型的基于覆盖的近似算子的公理集的独立性。结果，朱和王在（IEEE Transactions on Knowledge and Data Engineering 19(8) (2007) 1131–1144, Proceedings of the Third IEEE International Conference on Intelligence Systems, 2006, pp. 444–449）中提出的关于基于覆盖的近似算子的公理表征的两个开放问题得到了解决。
Rough set theory is a useful tool for dealing with inexact, uncertain or vague knowledge in information systems. The classical rough set theory is based on equivalence relations and has been extended to covering based generalized rough set theory. This paper investigates three types of covering generalized rough sets within an axiomatic approach. Concepts and basic properties of each type of covering based approximation operators are first reviewed. Axiomatic systems of the covering based approximation operators are then established. The independence of axiom set for characterizing each type of covering based approximation operators is also examined. As a result, two open problems about axiomatic characterizations of covering based approximation operators proposed by Zhu and Wang in (IEEE Transactions on Knowledge and Data Engineering 19(8) (2007) 1131–1144, Proceedings of the Third IEEE International Conference on Intelligent Systems, 2006, pp. 444–449) are solved.
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DOI：
10.1007/978-3-319-99368-3
发表时间：
2018-10
期刊：
--
影响因子：
--
作者：
R. Efendi;Voni Apriana Dewi;Rahmadeni;Sri Basriati;Dadang Syarif
通讯作者：
R. Efendi;Voni Apriana Dewi;Rahmadeni;Sri Basriati;Dadang Syarif
DOI：
--
发表时间：
2001
期刊：
Lecture Notes in Computer Science
影响因子：
--
作者：
H. Thiele
通讯作者：
H. Thiele
DOI：
--
发表时间：
1991
期刊：
Fundam. Informaticae
影响因子：
--
作者：
S. Comer
通讯作者：
S. Comer
DOI：
10.1109/ismvl.2001.924592
发表时间：
2001-05
期刊：
Proceedings 31st IEEE International Symposium on Multiple-Valued Logic
影响因子：
--
作者：
H. Thiele
通讯作者：
H. Thiele
DOI：
--
发表时间：
2008
期刊：
--
影响因子：
--
作者：
G. Cattaneo
通讯作者：
G. Cattaneo