An Extended Multiple Attribute Group Decision Making Method Based on q-Rung Orthopair Fuzzy Numbers

The q-Rung orthopair fuzzy set (q-ROFS) is an effective and powerful tool for expressing fuzzy information. It can cover more complex and more hesitant fuzzy evaluation information. The aggregation operators are an effective tool to deal with decision problems, but when faced with these new types of fuzzy set whose operational rules are defective, they often causes a lot of information distortion. Therefore, based on the advantages of q-ROFSs, this paper presents a new extended fuzzy group TOPSIS method which doesn't need aggregation technology. This method can effectively reduce the distortion of decision information and improve the accuracy of evaluation results. In addition, this method involves an expert weight model, which can deal with the group decision problems with unknown weight of experts by using the importance of experts and the rationality of evaluation results. By using this weight model, the proposed method can effectively eliminate the unreasonable impact of the extreme evaluation value on the evaluation results, further solve the decision-making situation in which experts' opinions are divergent and experts are manipulated. In order to verify the effectiveness and superiority of the proposed method, this paper applies it to some practical examples and makes a detailed comparison with other existing methods.