A survey of credibility theory
A survey of credibility theory
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DOI：
10.1007/s10700-006-0016-x
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发表时间：
2006-10
影响因子：
4.7
通讯作者：
Baoding Liu
中科院分区：
文献类型：
--
作者：
Baoding Liu
可信性理论是研究模糊现象行为的一个新的数学分支。介绍了可信性测度、模糊变量、隶属函数、可信性分布、期望值、方差、临界值、熵、距离、可信次可加性定理、可信扩张定理、可信连续性定理、乘积可信性定理、可信反演定理等基本概念和基本定理。综述了可信性理论的最新发展和应用。对机会空间和混合变量也提出了新的概念。
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.