**Health Assessment of Complex System Based on Evidential Reasoning Rule with Transformation Matrix**

**Zhigang Li 1, Zhijie Zhou 1, Jie Wang 1, Wei He 1,2,\* and Xiangyi Zhou 1**

1 High-Tech Institute of Xi'an, Xi'an 710025, China; analyseli@foxmail.com (Z.L.); zhouzj04@tsinghua.org.cn(Z.Z.);wjie19950921@163.com(J.W.);zhouxiangyi1995@163.com

 (X.Z.) 2 SchoolofComputerScienceandInformationEngineering,HarbinNormalUniversity,Harbin150025,China

 **\***Correspondence: hewei@hrbnu.edu.cn

**Abstract:** In current research of complex system health assessment with evidential reasoning (ER) rule, the relationship between the indicators reference grades and pre-defined assessment result grades is regarded as a one to one correspondence. However, in engineering practice, this strict mapping relationship is difficult to meet, and it may degrease the accuracy of the assessment. Therefore, a new ER rule-based health assessment model for a complex system with a transformation matrix is adopted. First, on the basis of the rule-based transformation technique, expert knowledge is embedded on the transformation matrix to solve the inconsistent problems between the input and the output, which keeps completeness and consistency of information transformation. Second, a complete health assessment model is established via the calculation and optimization of the model parameters. Finally, the effectiveness of the proposed model can be validated in contrast with other methods.

**Keywords:** evidential reasoning rule; system modelling; information transformation; parameter optimization
