基于量子粒子群算法的判断矩阵一致性修正  

Consistency Modification of Judgment Matrix Based on Particle Swarm Optimization with Quantum Behave

作　　者：陈强[1] 陈长兴[1] 牛德智[1] 程蒙江川 

机构地区：[1]空军工程大学理学院,西安710051

出　　处：《火力与指挥控制》2015年第9期129-132,137,共5页Fire Control & Command Control

基　　金：陕西省自然科学基础研究计划基金资助项目(2014JM8344)

摘　　要：对层次分析法中判断矩阵一致性调整存在的问题进行了分析。把原始判断矩阵认为是理想矩阵受干扰后形成的构造偏差矩阵,在达到基本一致性阈值的前提下使偏差矩阵修改量最小,建立了判断矩阵一致性修正的非线性规划模型。针对遗传模拟退火法收敛结果陷入局部最优的问题,设计了量子粒子群算法求解非线性规划,并和文献的算法进行对比,最后给出算例结果证明该优化算法更简单有效。It is assumed that the inconsistency of judgment matrix is formed after its ideal matrix 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 Quantum Delta-Potential-Well-based Particle Swarm Optimization （QDPSO）is designed to solve the nonlinear programming model. Numerical calculation examples show that the presented model is more feasible and effective compared with existing literature methods.

关 键 词：判断矩阵 一致性 非线性规划 量子粒子群算法 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]