## 5 Conclusions  
A reliability evaluation method of hinged slab beam bridges is proposed in this paper, which takes into account the fuzzy detection information of the damage degree of hinge joints and the failure reliability of the member. Firstly, the membership function is used to carry out equivalent randomization for fuzzy detection information of the damage degree of the hinge joints. Secondly, the reliability of a single member considering the fuzzy detection information of hinge joint damage is calculated. Then, the reliability of the structural system considering member failure credibility under three failure criteria is calculated. Finally, the applicability of the method is verified by taking a reinforced-concrete simply supported hollow slab beam bridge as a numerical example, and the following conclusions are drawn:  
1. Triangle, normal, and rectangle membership functions in fuzzy theory are used to express the damage degree of hinge joints in this paper, and the damage degree of hinge joints is transformed into a random variable. Numerical examples show that the equivalent randomization method of the membership function proposed is feasible.
2. When different membership functions are used to express the damage interval, the change rate of failure probability varies greatly with the increase in the damage interval. With the reduction in the damage interval, the failure probability corresponding to the three membership functions is closer to the failure probability corresponding to the deterministic hinge joint damage degree, which indicates that the reliability evaluation method considering the fuzzy detection information of hinge joint damage proposed in this paper conforms to the objective law, and the rationality and accuracy of the method are verified.
3. There is a deviation in the joint failure probability between considering member failure credibility and without considering member failure credibility under different criteria calculated based on Copula theory, and member failure credibility has an impact on the system reliability. Therefore, it is meaningful to consider the failure credibility in the system reliability evaluation method.
4. Furthermore, on the basis of this study, the authors will carry out the fragility analysis and reliability evaluation method of medium- and small-span bridges under natural disasters (earthquakes, floods).  
Conceptualization, G.T. and L.W.; methodology, G.T. and Q.K.; software, X.W.; validation, L.W., H.L. and X.W.; formal analysis, G.T. and L.W.; investigation, Q.K. and L.W.; writing--original draft preparation, G.T. and Q.K.; writing--review and editing, L.W.; funding acquisition, G.T. and H.L. All authors have read and agreed to the published version of the manuscript.  
This research was funded by the National Natural Science Foundation of China (grant number 51978309), Science and Technology Project of Education Department of Jilin Province (grant numberJJKH20190150 KJ), JKFH20180152 KJ), Scientific and Technological Project of Science and Technology Department of Jilin Province (grant number 20190303052 SF), Jilin Province Development and Reform Commission Project (grant number 2019C041-5) and Jilin Transportation Science and Technology Popularized Project (grant number 2020-3-2).  
The authors would like to thank the anonymous reviewers for their constructive suggestions and comments toward improving the quality of the paper.  
The authors declare no conflict of interest.