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The phenomenon of the judgment debtor evading the execution of legal documents and concealing his property by improper means has become increasingly prominent in China, which seriously affects the realization of the people’s legitimate rights and interests. To protect the legitimate rights and interests of the people, it is necessary to study the law enforcement possibility evaluation of judgment debtors and quickly judge which judgment debtor is likely to complete the legal documents. A novel hybrid TODIM (an acronym in Portuguese for Interative Multi-criteria Decision Making) method for evaluating the law enforcement possibility of judgment debtors is developed. The main idea of the hybrid TODIM method is to obtain the relative possibility value of judgment debtors by comparing the attribute values between two judgment debtors and aggregating all the attributes’ differences. The result shows that the hybrid TODIM method fully considers the psychological and behavioral factors of the law enforcement officers in the evaluation process. The evaluation result is more in line with the law enforcement officers’ experience in handling execution cases. Compared with the hybrid TOPSIS (technique for order preference by similarity to ideal solution) method, the hybrid TODIM method is more suitable for solving the problem.