关于模糊集的粗糙度

Roughness Measure for Fuzzy Sets

模糊集粗糙度的研究对于粗糙集和模糊集的理论和应用都有着重要作用。最近,Huynh等改进了由Baner- jee等给出的模糊集的粗糙度,提出了一种新的关于模糊集粗糙度的度量方法。本文对Huynh和Banerjee提出的粗糙度量进行了分析,指出了其中的不足,提出了一种新的改进方法。对Huynh度量方法存在缺陷的分析以及对新提出的改进方法性质的研究证明了新改进方法的合理性。

In this paper, the roughness measure for fuzzy sets is approached. By analyzing the defect of the measures for fuzzy sets proposed by Huynh and Banerjee, a new modified measure is proposed. To demonstrate the measure, an example is presented.