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针对指标权重完全未知的非确定型武器装备论证多方案分析问题,提出一种基于博弈理论的多方案分析方法。该方法通过将多方案分析中的单个指标作为博弈的参与者,以综合评估所得的方案优先序与方案在某指标上取值的大小蕴含的方案优先序之间的相符度作为博弈方的收益,将指标的权重取值作为博弈方的策略,进而通过求解博弈的混合策略确定指标权重向量,最终得出多方案分析与评估结果。应用实例验证了该方法的有效性和实用性。
Aiming at the problem of multi-program analysis for non-deterministic weaponry with completely unknown index weight, a multi-scheme analysis method based on game theory is proposed. This method uses the single index of multi-scheme analysis as the participant of the game, and regards the conformity between the priority of the scheme obtained by the comprehensive evaluation and the priority of the scheme contained in the value of the scheme as an index to obtain the benefit of the game player , The weight of the index is taken as the strategy of the game side, and then the weight vector of the indicator is determined by solving the mixed strategy of the game, finally the multi-scheme analysis and evaluation result are obtained. The application examples show the effectiveness and practicability of the method.