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Aiming at the complexity of the judicial case decision-making environment and the fuzziness of evaluation information, this paper proposed an interval-valued Fermatean fuzzy Hamacher-TODIM multi-attribute group decision-making method based on GRA-GCRITIC and improved weighted bidirectional projection. Firstly, considering the differences in evaluation information of each index under each evaluation scheme by experts, this paper proposed a GRA-GCRITIC method, which integrated grey relation into CRITIC to determine the comprehensive weight of indicators more objectively and reliably than obtaining a single indicator weight. Secondly, considering the subjective and objective relationship, this paper used the trust relationship to improve the weighted bidirectional projection method. The approach utilized the similarity between the membership and non- membership degree matrices of expert individual and group evaluation information to obtain expert weights. Finally, considering the decision-makers loss aversion psychology, this paper extended the TODIM method, which incorporated the Hamacher operator, to an interval-valued Fermatean fuzzy environment. And a specific case used this method to obtain the comprehensive ad- vantage and ranking. It verifies the feasibility and flexibility of the proposed method. [ABSTRACT FROM AUTHOR]