Uncertainty measures of rough sets based on discernibility capability in information systems
Uncertainty measures of rough sets based on discernibility capability in information systems
复制标题
信息系统中基于辨别能力的粗糙集不确定性测度
DOI：
10.1007/s00500-016-2481-7
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发表时间：
2017-01
期刊：
影响因子：
4.1
通讯作者：
Nian Yongjian
中科院分区：
文献类型：
--
作者：
Teng Shuhua;Liao Fan;Ma Yanxin;He Mi;Nian Yongjian
粗糙集理论已被广泛应用于不确定信息的度量和处理，但现有的粗糙集度量方法很难将不完备信息系统的结果推广到完备信息系统。本文提出了基于属性区分能力的不确定性度量方法。首先定义了两个单一的度量，并给出了它们的有用性质，在此基础上提出了一种新的符合人类认知的粗糙集不确定性度量。然后针对多属性情况提出了三种组合度量，并讨论了它们之间的关系。最后，我们将我们的方法与现有的措施进行比较，以说明现有措施在RST中的物理意义。理论分析和数值算例表明，新方法对完备和不完备信息系统都是有效的。这些研究成果可能会让我们更深入地理解不确定性的本质。
Rough set theory (RST) has been widely used to measure and handle uncertain information; however, the existing RST-based measures are difficult to generalize the results of incomplete information systems to complete information systems. In this paper, some well-justified measures of uncertainty based on discernibility capability of attributes are presented. We first define two single measures and give their useful properties, based on which a new uncertainty measure of rough sets is proposed, which can be consist with human cognition. We then propose three combination measures for multiattribute case and discuss their relationships. Last, we compare our methods with the existing measures to illustrate the physical meaning of the existing measures in RST. Theoretical analysis with numerical examples proves that the new measures will work efficiently on both complete and incomplete information systems. The research results may lead us to a deeper understanding of the essence of uncertainty.
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不同知识粒度下粗糙集的不确定性
影响因子：
--
作者：
Zhang Qing-Hua;Wang Guo-Yin
通讯作者：
Wang Guo-Yin
影响因子：
--
作者：
Chou LC;Fu CY
通讯作者：
Fu CY
DOI：
--
发表时间：
2005-05
期刊：
Fundam. Informaticae
影响因子：
--
作者：
Guoyin Wang;Jun Zhao;J. An;Yuehua Wu
通讯作者：
Guoyin Wang;Jun Zhao;J. An;Yuehua Wu
影响因子：
--
作者：
SHANNON, CE
通讯作者：
SHANNON, CE
DOI：
10.1109/robio.2009.5420845
发表时间：
2009-12
期刊：
2009 IEEE International Conference on Robotics and Biomimetics (ROBIO)
影响因子：
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作者：
Shuhua Teng;Dingqun Zhang;Lingyun Cui;Jixiang Sun;Zhiyong Li
通讯作者：
Shuhua Teng;Dingqun Zhang;Lingyun Cui;Jixiang Sun;Zhiyong Li