Abstract: The complexity, uncertainty and limitation of human cognition in the processes of supplier selection lead to the distortion of information fusion and inaccuracy of decision-making. With respect of decision-making problems about supplier selection introduced by decision-making attributes and hesitate triangular fuzzy numbers (HTFN), a decision-making algorithm based on hesitate triangular fuzzy geometric weighted Bonferroni mean (HTFGWBM) operators is propased in this paper. First, in terms of hesitate triangular fuzzy numbers and geometric Bonferroni mean operator theory, HTFGWBM operators and hesitate triangular fuzzy geometric weighted Bonferroni mean (HTFGWBM) operator are defined respectively, and their constraints are explored, such as attributes of monotonic, limited and idempotent. Combining with HTFN sorting methods, then alternative suppliers based on the new hesitate multi-attribute decision-making model constructed with HTFGWBM operators are sequenced. Finally, a suppler selection example from an empirical project is illustrated to demonstrate the feasibility and effectiveness of the proposed decision-making model. The results show that this model is equipped with ductility and fault tolerance via the adjustment of parameters, which can be used in scientific decision-making.

Key words: multi-attribute decision-making, geometric Bonferroni mean operator, suppliers selection model, hesitate triangular fuzzy geometric weighted Bonferroni mean operator