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针对盟员投入不确定会导致联盟收益模糊性问题,提出模糊Shapely收益分配策略.构建不同竞合情形下的合作博弈双层规划模型,以模型输出结果构造三角模糊数支付函数,并进行模糊Shapely收益分配.考虑盟员面临的风险程度不同,运用模糊层次分析法测算成员的风险因子,并基于该因子对模糊Shapely收益进行修正.算例结果表明,新策略满足联盟形成机制,同时保证收益分配更加科学合理.提出的分配策略解决了联盟收益不确定性时收益分配不合理的问题.
In order to solve the ambiguity problem of alliance revenue, a fuzzy Shapely profit distribution strategy is put forward to deal with the uncertainty of alliance members’ input.The construction of bi-level programming model of cooperative game under different competing and cooperation conditions constructs the trigonometric fuzzy number payment function based on the model output, Income distribution.According to the different degree of risk faced by the alliance members, the fuzzy analytic hierarchy process (AHP) is used to measure the risk factors of the members and the fuzzy Shapely benefits are modified based on the factors.Examples show that the new strategy satisfies the alliance formation mechanism and guarantees the distribution of income More scientific and reasonable.The proposed distribution strategy solves the problem of unreasonable income distribution when the alliance returns uncertainty.