Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project.

•The risk evaluation of construction project is described as a MCDM problem with the PFNs.•A PFNP model is proposed to overcome the limitations of the extant picture fuzzy projection model.•A picture fuzzy entropy weight method is introduced to obtain an objective weight vector of criteria.•PFNP-VIKOR method is developed to rank risk factors of construction project.