基于粒子群优化的混合模糊双矩阵对策求解

Solution of Mixed Fuzzy Bimatrix Games Based on Particle Swarm Optimization

针对具有模糊策略集与模糊支付值的不确定性冲突环境,建立了混合模糊双矩阵对策模型。在假定模糊支付值为三角模糊数的情形下,采用了基于单个截集的模糊数线性排序函数,将模型清晰化后转化为双矩阵对策,并应用粒子群优化算法求解。最后,给出一个军事例子说明了模型的实用有效性和粒子群优化算法的高效性。

Aiming at the uncertain conflict situations with fuzzy strategy sets and fuzzy payoffs,the model of mixed fuzzy bimatrix games is established.While fuzzy payoffs are triangular fuzzy numbers,the model of fuzzy bimatrix games can be transformed into clear bimatrix game by using linear ranking function of fuzzy numbers based on one cut set,and a PSO algorithm is presented for solving the model.Finally,a military example is given to illustrate the practicality and effectivity of the proposed model and the high efficiency of the proposed PSO algorithm.