粗糙集的模糊性

Fuzziness in Rough Sets

在研究粗糙集概念的基础上,结合模糊集的最近普通集和最远普通集两个方面,利用距离函数 lp(A,B) 、 D(A, B) 和粗糙隶属函数,得到了粗糙集的一种新的模糊度计算方法,证明了模糊度的一些重要性质。该方法在理论和应用中发挥着重要作用。

Based on the study of rough sets ,combined with the Nearest ordinary set of a fuzzy set and the Farthest ordinary set of a fuzzy set and by the help of lp(A,B) ,D(A,B) and membership of rough set, a new measure of fuzziness in rough sets is introduced, some characterizations of this measure are given and proved. This new measure presented in this paper is very important in theory and in practice.