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几种不确定性测度的粗糙集解释 被引量:2

A Few Uncertainty Measures of Rough Set Interpretation
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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.
出处 《江西师范大学学报(自然科学版)》 CAS 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).
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 rough set random set belief function inner measure lower probability.
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