Multi-source data repairing powered by integrity constraints and source reliability.

•The first study of the data repairing problem for jointly resolving inconsistencies and conflicts.•An iterative algorithm to jointly infer the source reliability degrees and the repaired result under DCs.•Two scalable strategies for the iterative algorithm by optimal grouping entities and pruning candidate values, respectively.•Experimental results clearly demonstrate that the proposed method outperforms both constraint-based data repairing and conflict resolution baselines.