基于模糊随机概率的电子产品寿命分析方法

电子产品失效过程是一种兼有随机性和模糊性的模糊随机现象，电子产品的寿命应为一个模糊随机变量。应用模糊随机概率的相关理论，对传统随机概率寿命分析进行改进，建立了一种模糊随机概率寿命分布函数，并且根据寿命的特点提出了选择模糊变量隶属函数的标准。在此基础上，研究了产品失效的可能性分布，以确定产品在某一时刻可能失效的可能性大小。通过实例分析对比，新的寿命分布函数能够反映出更多的寿命信息，且表达更为直观具体，所建立的可能性分布能够真实地反映实际产品失效的可能性大小。

Life analysis method of electronic products based on fuzzy random probability

In view of the process of failure is a fuzzy random phenomenon including randomness and fuzziness concurrently, the life of electronic products would be a fuzzy random variable. Applying the theory of fuzzy random probability, the conventional random probability analysis method is improved, a new fuzzy random probability life distribution function is established, and a criterion of choosing the membership function of the fuzzy variable is introduced according to the life’s characteristic. Then, the possibility distribution of the failure is studied so as to confirm the possibility that the product will fail at a certain time. By analyzing the example, it is found that the new fuzzy random probability life distribution function can provide more life information intuitionisticly and concretely than the conventional one, and the established possibility distribution can reflect the level of the possibility that the product will fail factually.