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Interval-valued Fermatean fuzzy sets are a new powerful tool for dealing with uncertainty problems. However, group decision-making methods under this new model are rarely studied. Therefore, this paper proposes a group decision-making method with a consensus mechanism. First, this paper proposes a new score function. The advantages of the score function are proved through comparative analysis. Secondly, a consensus-reaching method is proposed based on the new score function, and in order to shorten the consensus-reaching time, the preference approval structure is combined with the consensus-reaching process. Finally, this paper proposes a multi-attribute group decision-making framework with a consensus process in interval-valued Fermatean fuzzy environment.
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