An integrated risk assessment model for the multi-perspective vulnerability of distribution networks under multi-source heterogeneous data distributions

•Multi-dimensional assessment of distribution network risk status by integrated model.•Multi-source heterogeneous data are combined for better feasibility.•Rare elements are incorporated and the impact of each element on system is described.•Hierarchical probabilistic fuzzy systems are utilized to reduce uncertainties.•Differences in power supply reliability needs of different customers are reflected.