Interval-valued q-rung orthopair fuzzy Weber operator and its group decision-making application

Abstract

Learning effectiveness evaluation requires the integration of objective test results and the analysis of uncertain subjective evaluations. The methods of the fuzzy theory are applicable to handle the fuzzy information and uncertainty for obtaining more comprehensive and accurate evaluation results. Due to its deflation ability and the representation ability of interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs), the operator of Weber (IVq-ROFW) and the interval-valued q-rung orthopair Weber ordered weighted average (IVq-ROFWOWA) operator are proposed to improve the evaluation in this paper. Firstly, we improve and optimize the Swing algorithm to derive attribute weights. Further, we develop a multi-attribute group decision-making (MAGDM) method for evaluating the learning effectiveness of students based on the IVq-ROFWOWA operator and the Swing algorithm. Lastly, we provide a case to illustrate the application of the proposed MAGDM method. By comparing and analyzing results, we have also shown that the proposed MAGDM method is feasible and effective.