【摘要】 分析了判断矩阵一致性修正中存在的问题.把专家判断矩阵的不一致性看成在其特征矩阵受到扰动后形成的,在达到满意一致性阈值的前提下使扰动量修改最小,最终建立了专家判断矩阵一致性修正的一个非线性规划模型.设计了相应的遗传模拟退火算法用于求解这个非线性规划,并和已有的方法进行比较,数值计算证明模型是更有效的方法.更多还原

【Abstract】 It is assumed that the inconsistency of judgment matrix is formed after its eigenmatrix is disturbed.As a result,a nonlinear programming model is proposed for improving the consistency of the judgment matrix.In the model,disturbance quantity can be minimally modified and consistency threshold is also attained.Then a genetic simulated annealing algorithm is designed to solve the nonlinear programming model.Numerical calculation examples show that the presented model is more feasible and effective compared with existing methods.更多还原