小生境遗传算法修正模糊判断矩阵一致性研究

Correctinn consistency of fuzzy judgment matrix using niche genetic algorithm

针对模糊互补判断矩阵的一致性及矩阵维数增加时待优化的参数增多的问题,采用小生境遗传算法进行模糊互补判断矩阵的一致性检验、修正和权值排序.该方法将模糊互补判断矩阵的一致性检验、修正和权值排序作为一个整体进行优化,并采用小生境技术保证在矩阵维数增加时仍能找到最优解.通过分析和算例对比,证明了该方法的有效性和稳定性,以及可以在对初始判断矩阵做最小程度调整的基础上具有最小的一致性指标系数.最后将该方法应用于舰船综合电力系统的电磁兼容评估中,证明了该方法的可行性.

Aimed at the consistency of fuzzy complementary judgment matrix and more optimizing parameters as the increasing of the matrix orders,the niche genetic algorithm is proposed to examine the consistency,adjust matrix and order the weights. The method can make the optimizing of the consistency examination,matrix adjusting and weight ordering as a whole. And the niche technique can find the optimum solution when the order of the matrix is increasing. By analyzing and examples comparing,the availability and stability were proved. The consistency index coefficients are least on the basis of minimizing the initial matrix. Finally,the method was proved feasible by proposing the method to the electromagnetic compatibility evaluation of the ship integrated power systems.