Due to technical limitations and the characteristics of the launch power system propellant, its support capability is affected by many factors and links. In the process of mission support, it is necessary to consider both its quality characteristics and the safety during the support process, which bring difficulties to the accuracy of its support capability evaluation. In this regard, the evaluation indexes system is constructed according to the requirements of total quality management theory, process safety management theory and equipment support characteristics. In the process of setting the indexes system, the technique for order preference by similarity to an ideal solution method (TOPSIS method) is used to screen the indexes to make indexes setting more scientific. The subjective weights obtained by the order relation analysis method (G1 method) and the objective weights obtained by the entropy weight method (EW method) are combined by the game theory combination weighting method to obtain the indexes combination weights, which reduce the error of weight calculation. The two-dimensional cloud model is used to evaluate support capability of the launch power system propellant from the two dimensions of quality management capability and safety management capability, which can reflect the support capability more comprehensively and accurately. Through example verification, the closeness of support capability of the launch power system propellant to the evaluation grades of ‘excellent’, ‘good’, ‘average’, ‘poor’ and ‘very poor’ is calculated to be 0.2333, 5.1169, 0.3579, 0.1821 and 0.1041, respectively, indicating that the evaluation results are closer to good. Finally, compared with the existing one-dimensional cloud model evaluation method, the superiority of this research method is highlighted, which has a certain guiding role in improving its support capability.
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