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Because of the increasing complexity and uncertainty of the socioeconomic environment, standard assessments cannot handle this multicriteria decision-making. Therefore, this study provides a multi-criteria decision-making method based on Interval 2 Fuzzy Sets (IT2FS). It obtains comprehensive weights through the AHP method and the CRITIC method. Compared with the traditional TOPSIS, the improved TOPSIS method reduces the difference between the evaluation results. This method is suitable for the site selection of nursing homes in a certain area. We use the data of nursing homes to show the application of these methods. 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