An extended bidirectional projection method for picture fuzzy MAGDM and its application to safety assessment of construction project

In this article, we shall introduce picture fuzzy bidirectional projection method and some fundamental theories of picture fuzzy information. First of all, we briefly review the definition of picture fuzzy sets (PFS) and introduce the score function, accuracy function and operational laws of PFS. In addition, to fuse overall picture fuzzy evaluation information, we introduce two aggregation operators of PFS including PFWA and PFWG operators. Furthermore, the picture fuzzy bidirectional projection method for multiple attribute group decision making (MAGDM) is established and all computing steps are simply depicted. In our presented model, it’s more accuracy and effective for considering the conflicting attributes. Finally, a numerical example for safety assessment of construction project has been given to illustrate this new model and some comparisons between bidirectional projection method with picture fuzzy numbers (PFNs) and PFWA, PFWG aggregation operators are also conducted to further illustrate advantages of the new method.