一种覆盖粗糙Vague集模型及其不确定性度量

Covering Rough Vague Sets and Uncertainty Measurement

针对文献[21]提出的覆盖粗糙Vague集模型中幂等性并不成立的问题,提出了一种新的基于近邻域的覆盖粗糙Vague集模型,并讨论了相关性质及与Ι型覆盖粗糙Vague集模型的关系;最后通过引入覆盖粒度空间下知识熵的概念,定义了一种Ⅱ型覆盖粗糙Vague集模型的不确定性度量方法。算例分析表明,Ⅱ型覆盖粗糙Vague模型的不确定性程度随粒度减小而减小。

Aiming at the error of idempotent property of the covering rough Vague sets in paper ,a new covering rough Vague sets model based on neighbor domain was proposed.This paper discussed some related properties and relationship with the first covering rough Vague sets.Finally,we defined a uncertainty measurement method for covering rough Vague sets based on knowledge entropy in covering granular space.Example analysis shows that the uncertainty degree of the second covering rough Vague sets decreases with the decrease of the granularity.