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概率设计的基础是统计数据。但是在实际设计工作中,设计者往往难以获得充足的数据资料,而只能利用一些不确定的或模糊的信息。本文讨论了当设计变量是随机变量与模糊变量组合时,计算可靠度的一般方法。并进一步由此推导出当模糊变量具有正态隶属函数,而随机变量服从正态概率分布时的可靠度计算式。最后用实例讨论了根据模糊信息求出的可靠度与普通可靠度的区别。
The basis of probability design is statistics. However, in the actual design work, designers often find it difficult to obtain sufficient data, but only use some uncertain or fuzzy information. This article discusses the general method of calculating reliability when a design variable is a combination of a random variable and a fuzzy variable. Furthermore, the reliability formula of fuzzy variables with normal membership function and random variables subject to normal probability distribution is derived. Finally, the difference between reliability and general reliability obtained from fuzzy information is discussed with examples.