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.
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.
出处
《系统工程学报》
CSCD
北大核心
2006年第1期107-111,共5页
Journal of Systems Engineering
基金
国家自然科学基金委员会优秀创新群体资助项目(70121001)
关键词
判断矩阵
一致性
非线性规划
遗传模拟退火算法
judgment matrix
consistency
nonlinear programming
genetic simulated annealing
