Multi-criteria group decision-making method based on generalized power harmonic aggregation operators with normal intuitionistic fuzzy numbers

Normal intuitionistic fuzzy number (NIFN), which is introduced based on intuitionistic fuzzy sets and normal fuzzy numbers, is a useful tool for presenting uncertain information under complicated situations. This study focuses on the development of an effective method by combining NIFNs with the power average and harmonic mean operators to address multi-criteria group decision-making (MCGDM) problems, wherein weight information is completely unknown. First, an effective ranking method for NIFNs is provided in view of defects of the existing comparison method of NIFNs. Subsequently, three normal intuitionistic generalized power harmonic aggregation operators are proposed based on the operations of NIFNs. Next, a new MCGDM method is developed. Finally, a numerical example concerning coal mine safety evaluation is provided for demonstration. The feasibility and validity of the proposed method are further verified by sensitivity analysis and comparison with other existing methods.