A Method of Fuzzy Probability under Small Sample

摘要：

Based on BAYES data processing theory,a new method of fuzzy probability is proposedfor the parameter reliability of small sample.Prior distribution of fuzzy parameter is obtained bystochastic weighted method,then posterior distribution of fuzzy parameter is got by the method ofconjugate distribution.In the end,the formula of fuzzy membership function is constructed,andprobability of fuzzy events is solved.The study of this paper aims at the membership function which isdeduced in the condition that mean is known and deviation is unknown in normal populationdistribution.At the same time using information of small sample of actual experiment,the study fullyutilizes prior information,so,it is convincing to evaluate reliability of fuzzy parameter.It is obviouslyeconomical.

关键词： Small sample Fuzzy reliability Membership function Tolerance range Fuzzy parameter

作者: H.An W.G.An Y.L.Zhao Z.J.Song

作者单位: Department of Aerospace Engineering,Harbin Engineering University,Harbin,150001 China Academy of Space Technology,Beijing,100094

会议类型: 国际会议

会议名称: 2008 International Conference on Advances in Product Development and Reliability(2008年产品开发与可靠性进展国际会议)

会议地点: 成都

会议语种:英文

在线出版日期: 2008-08-04（万方平台首次上网日期，不代表论文的发表时间）