Abstract: To address the deficiency of existing evaluation methods for engineroom team cooperation, which lack uniformity and are excessively subject to randomness, this paper proposes a new evaluation method based on Vague set hesitant quantization. The factors influencing the evaluation are extracted from the perspective of engine room team cooperation. The significant cooperation indicators are quantified using the ensemble similarity coefficient, while subjective and objective weights are determined using the C-OWA operator weighting method and the coefficient of variation method. The combined weights are obtained by the principle of minimum discriminant information, intergrating the hesitant quantification characteristics of Vague set. Qualitative evaluations in the Vague set of each index are derived from the actual operation data of the engineroom team and the Vague set evaluation standard. The comprehensive evaluation of engineroom team cooperation is realized through set similarity analysis. Finally, the results of the example calculation demonstrate that compared to traditional evaluation methods, the method incorporating the hesitancy team cooperation factor, based on individual completion, can better describe and measure the hesitancy of evaluation results. It can also effectively facilitate the transformation between quantitative and qualitative, making it an effective and superior collaborative evaluation method for engineroom teams.