International Journal of Machine Learning and Cybernetics ( IF 3.1 ) Pub Date : 2021-02-06 , DOI: 10.1007/s13042-020-01273-6 Zhaowen Li , Zhihong Wang , Qingguo Li , Pei Wang , Ching-Feng Wen
Uncertainty measurement (UM) can offer new visual angle for data analysis. A fuzzy set-valued information system (FSVIS) which means an information system (IS) where its information values are fuzzy sets. This article investigates UM for a FSVIS. First, a FSVIS is introduced. Then, the distance between two information values of each attribute in a FSVIS is founded. After that, the tolerance relation induced by a given subsystem is acquired by this distance. Moreover, the information structure of this subsystem is brought forward. Additionally, measures of uncertainty for a FSVIS are explored. Eventually, to verify the validity of these measures, statistical effectiveness analysis is carried out. The obtained results will help us understand the intrinsic properties of uncertainty in a FSVIS.
中文翻译:
模糊集值信息系统的不确定性度量
不确定度测量(UM)可以为数据分析提供新的视角。模糊集值信息系统(FSVIS),是指其信息值为模糊集的信息系统(IS)。本文研究了FSVIS的UM。首先,介绍了FSVIS。然后,建立FSVIS中每个属性的两个信息值之间的距离。之后,通过该距离获取给定子系统引起的公差关系。此外,提出了该子系统的信息结构。此外,还探讨了FSVIS的不确定性度量。最终,为了验证这些措施的有效性,进行了统计有效性分析。获得的结果将有助于我们了解FSVIS中不确定性的内在属性。