Abstract
To solve the correlation problem in evidence theory, this paper proposes an evidence theory model based on Copula function and related reliability assessment methods. First, we establish a performance degradation model based on the Wiener process and calculate the PDF of the lifetime distribution. Secondly, the fuzzy C-means algorithm is used to discretize the probability density function and obtain the marginal basic reliability allocation (BPA). Finally, the fusion of multidimensional evidence variables is carried out using the improved synthesis rules based on Copula function. The example analysis shows that this method solves the evidence-related problems in traditional evidence theory, and it is more efficient than other methods in the literature.
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