模糊环境下合作联盟收益分配模型和算法研究

The Model and Algorithm of Fuzzy Coalition’s Payoffs Allocation Based on Fuzzy Theory

在合作联盟中,由于不确定性因素的存在,联盟收益不能精确得到分配。文章将合作对策的支付值用三角模糊数来表示,解决模糊收益分配问题,并考虑了联盟的重要性(即权重)及有效性等因素对利益分配的影响。通过构建多权重模糊分配二次规划模型,给出其解析式,据此确定参与合作联盟的局中人的三角形模糊数分配值。最后,通过数值算例验证了该模型的合理性和优越性,从而为合作联盟利益分配提供了一种合理、有效的计算方法。

In the cooperative alliance, owing to the existence of uncertain factors, the allocation of Payoffs cannot be accurately expressed among players, Triangular fuzzy numbers, which are expressed as the payoffs of coalitions, are used to give an allocation solution. Meanwhile, the allocation also addressed the influence of coalitions , importance, A quadratic programming model is built to obtain a suitable solution, which is a triangular fuzzy number distribution value of each player, Further, we add a constraint to the built model: effectiveness, and obtain the pre-allocated solution, Finally, the rationality and superiority of the proposed model are verified through a numerical example.