可靠性分析中的模糊信息处理方法  

The Fuzzy Information Processing Method in the Reliability Analysis

作　　者：李玲玲[1,2] 武猛[1] 景丽婷[1] 李志刚[1] 

机构地区：[1]河北工业大学电气工程学院,天津300130 [2]天津大学电气与自动化工程学院,天津300072

出　　处：《模糊系统与数学》2011年第5期90-95,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60771069);中国博士后科学基金资助项目(20100470778)

摘　　要：在可靠性分析中,除了常见的随机不确定信息,还普遍存在着模糊不确定信息,因此在传统可靠性的基础上基于模糊理论提出了一种综合处理随机不确定信息与模糊不确定信息的可靠度计算方法。并在应力—强度干涉模型的基础上得出了未被大家重视的可靠度分布曲线,获得了能同时处理概率密度函数与隶属函数的可靠度计算模型,并探索了此模型与模糊可靠性、经典可靠性之间的内在联系。研究结果表明:在随机性与模糊性并存的情况下,此可靠性度量模型能够较好的处理随机信息与模糊信息,所得结果有很高的准确性,并且能够动态的反映可靠度的计算机理。In the reliability analysis,in addition to the common random uncertain information,also there is generally fuzzy uncertain information.On the basis of traditional reliability and fuzzy theory,put forward a kind of reliability calculation method,which could comprehensively handle random uncertain information and fuzzy uncertain information.And the reliability distribution curve,which hasn＇t get the public attention,was obtained on the basis of the stress-strength interference model.At the same time,the reliability calculation model was also obtained,which could handle the probability density function and membership function simultaneously.And the inner relation was explored between this model and the fuzzy reliability,the classical reliability.The results of the study indicate that,in the randomness and fuzziness coexisting situation,this reliability measure model could better handle random information and fuzzy information,and the results obtained have high accuracy,which can dynamically reflect the calculation mechanism of reliability.

关 键 词：可靠性 隶属函数 模糊可靠度 可靠度分布曲线 

分 类 号：TB114[理学—概率论与数理统计]