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A survey of credibility theory

被引：65
作者：
Liu B. [1 ]
机构：
[1] Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University
来源：
Fuzzy Optimization and Decision Making | 2006年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Conditional credibility; Credibility measure; Credibility theory; Fuzzy random variable; Fuzzy variable; Random fuzzy variable;
D O I：
10.1007/s10700-006-0016-x
中图分类号：
学科分类号：
摘要：
This paper provides a survey of credibility theory that is a new branch of mathematics for studying the behavior of fuzzy phenomena. Some basic concepts and fundamental theorems are introduced, including credibility measure, fuzzy variable, membership function, credibility distribution, expected value, variance, critical value, entropy, distance, credibility subadditivity theorem, credibility extension theorem, credibility semicontinuity law, product credibility theorem, and credibility inversion theorem. Recent developments and applications of credibility theory are summarized. A new idea on chance space and hybrid variable is also documented. © Springer Science+Business Media, LLC 2006.
引用
收藏
页码：387 / 408
页数：21
相关论文
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