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Interval-Valued q-Rung Orthopair Fuzzy Aczel-Alsina Maclaurin Symmetric Mean Operator and Its Application to Group Decision Making

  • Junzhe Wan

摘要

Considering the benefits of the parameterizable Aczel-Alsina (AA) operator and the Maclaurin symmetric mean (MSM) operator in capturing attribute relationships, this paper develops a fusion operator of AA and MSM under interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs). Firstly, based on the operational rules of interval-valued q-rung orthopair fuzzy AA (IVq-ROFAA), the interval-valued q-rung orthopair fuzzy weighted average AA-MSM operator (IVq-ROFAAMSMWA) is introduced which combines the IVq-ROFAA operator with the MSM operator. Then, expert weights are derived based on satisfaction which is constructed by closeness of two interval-valued q-rung orthopair fuzzy numbers. Third, a group decision-making approach (GDM) is formulated utilizing the satisfaction-based expert weight method and IVq-ROFAAMSMA operator that has been developed. The case of classroom performance of learners validates the feasibility and effectiveness of the suggested GDM approach and comparative analysis results further validate the IVq-ROFAAMSMA operator is effective.