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任意有界论域的模糊变量转化成随机变量的方法
引用本文:江涛,陈建军,胡太彬,姜培刚.任意有界论域的模糊变量转化成随机变量的方法[J].安全与环境学报,2005,5(3):78-81.
作者姓名:江涛  陈建军  胡太彬  姜培刚
作者单位:西安电子科技大学机电工程学院,西安,710071;西安电子科技大学机电工程学院,西安,710071;西安电子科技大学机电工程学院,西安,710071;西安电子科技大学机电工程学院,西安,710071
摘    要:针对机械系统广义可靠性中极限状态方程的模糊参数向等价正态随机变量转化时其均值难以确定的问题,提出了一种将具有任意有界论域的模糊变量转化成随机变量的方法,以该法所得的随机变量的均值作为等价正态随机变量的均值,得到模糊变量的更为准确的等价正态随机变量表达式,使含有模糊参数机械系统可靠度能在正态空间内确定.并在算例中以水平截集法作为准确值,验证了该方法的准确性和简洁性.

关 键 词:安全工程  模糊参数  等价正态随机变量  极限状态方程
文章编号:1009-6094(2005)03-0078-04
修稿时间:2004年11月2日

Transformation fuzzy variable into equivalent normal random variables in context of fuzzy reliability
JIANG Tao,CHEN Jian-jun,HU Tai-bin,JIANG Pei-gang.Transformation fuzzy variable into equivalent normal random variables in context of fuzzy reliability[J].Journal of Safety and Environment,2005,5(3):78-81.
Authors:JIANG Tao  CHEN Jian-jun  HU Tai-bin  JIANG Pei-gang
Abstract:The present paper aims to introduce the author's new approach to determining the expected values of an equivalent normal random variable in transforming a fuzzy variable with an arbitrary universe of discourse into its equivalent normal random variable in a mechanical system. The approach, to some extent, consummates that the existing methods can only find out the variance for the equivalent normal random variable. Therefore, it is supposed to be established on the following two analytical theoretical proofs: (1) random entropy for an equivalent variable, gained by using our approach identically, equals to fuzzy entropy for a fuzzy variable to be transformed; (2)conventional reliability formula, in which an equivalent variable obtained from our approach, can be used as equivalents to fuzzy reliability formula, in which one of its uncertainty parameters, is a fuzzy variable to be transformed. The rationality of our approach is thus be proved by using well-established theory of fuzzy reliability, and is validated by using a well established Random Simulation Method, namely, random cut set method. Numerical examples help to validate the rationality and accuracy of our new approach.
Keywords:safety engineering  fuzzy variable  equivalent normal random variable  performance function
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