不确定性知识表达的新方法——灰概率测度集  

New representation method for uncertain knowledge——grey probability measure set

作　　者：韩盛[1] 李书杰[1] 陈宗海[1] 

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《系统工程与电子技术》2013年第5期1018-1022,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(61075073)资助课题

摘　　要：通过模拟人类对不确定性信息的描述和融合,提出了一种新的灰数描述方法,定义了灰概率测度集的概念及其交运算。灰概率测度集对"贫信息"及"外沿明确,内涵不明确"的不确定性问题进行描述;交运算对灰概率测度集描述的不确定信息"内涵"逐渐丰富和准确的过程进行表达。通过自助式移动机器人拓扑定位的实例,检验了灰概率测度集在模拟人类智能对不确定信息的表达和推理中的有效性。A new description method for grey number by simulating man＇s description and fusion to uncer- tainty information is represented, and the definition of a grey probability measurable set and its intersectingoperation is proposed. The grey probability measurable set can describe the uncertainty with the features such as ＂poor-information＂ and ＂clear-boundary, unclear meaning＂, the intersecting operation reflects that as infor mation increases, the ＂meaning＂ of the uncertainty that the grey probability measurable set represents becomesmore certain and more proper. According to the example of topological localization of an autonomous mobile ro hot, it can be concluded that this structure can be well used to verify the effectiveness in the simutation of man^s intelligence to uncertainty expression and reasoning.

关 键 词：灰色理论 信息融合 灰数 基本集 灰概率测度集 融合概率 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]