一种定义粗糙集精度的改进方法

Improved Method of Defining Accuracy Measure for Rough Sets

在粗糙集理论中,精度是量化由粗糙集边界引起的不精确性的一种重要数字特征。但传统精度没有考虑到由等价关系导出的划分的颗粒大小。该文在分析传统精度和由Xu Baowen等人提出的精度的基础上,提出一种新的精度定义。给出了其一些好的性质,通过例子说明了它是一种更优的精度定义,算法上比Xu Baowen等人的更简单。

In rough set theory, accuracy measure is an important numerical characterization that quantifies the imprecision of a rough set caused by its boundary region. However, the traditional accuracy measure does not take into consideration the granularity of the partition induced by an equivalence relation. This paper analyzes the limitation of the traditional accuracy measure and proposes a new kind of definition of accuracy measure based on the one proposed by Baowen Xu et al. Some of its good properties are proved. It is more suitable to measure the imprecision of rough sets and its algorithm is simpler than Xu Baowen et al＇s, which are illustrated by examples.