A Sufficient and Necessary Condition for Chance Measure

摘要：

Chance theory is a mathematical tool to deal with fuzziness and randomness simultaneously. An important concept in chance theory is chance measure, which is a hybrid of credibility measure and probability measure.This paper proves a sufficient and necessary condition for chance measure. In addition, thechance extension theorem is proved, which provides a new method of defining a chance measure.

关键词： Probability measure Credibility measure Chance measure Chance extension theorem

作者: Xiang Li Baoding Liu

作者单位: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

会议类型: 国际会议

会议名称: 第一届中国智能计算大会

会议地点: 江西庐山

会议语种:英文

页码: 9-13

在线出版日期: 2007-10-10（万方平台首次上网日期，不代表论文的发表时间）