几种不确定性测度的粗糙集解释  

A Few Uncertainty Measures of Rough Set Interpretation

作　　者：漆桂林[1] 吴根秀[2] 

机构地区：[1]宜春学院理学院数学系,江西宜春336000 [2]江西师范大学数学与信息科学学院,江西南昌330027

出　　处：《江西师范大学学报（自然科学版）》2003年第4期353-355,共3页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金资助项目(0311041).

摘　　要：以粗糙集为基础,研究了信任函数与内测度、信任函数与随机集的下概率之间的关系,并给出了它们基于粗糙集理论的解释.首先将粗糙集与随机集作了比较,并由此得出了信任函数与下概率的关系.其次,对内测度的集合特征作了分析后,给出了信任函数与内测度的关系.Based on rough set theory,we discuss the relation between belief functions and inner measures,between belief functions and the lower probability of a random set.An interpretation of these uncertainty measures is obtained.By comparing rough sets and random sets,we derive the relation between belief function and lower probability. Furthermore,by analyzing the congregative characteristics of inner measures, we obtain the relation between belief function and inner measure.

关 键 词：不确定性测度 粗糙集 随机集 信任函数 内测度 下概率 证据理论 人工智能 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O174.12[自动化与计算机技术—控制科学与工程]