模糊AHP的权重向量求解方法研究  

Method of Obtaining Eigenvector for a Fuzzy AHP

作　　者：王玮[1] 张玉芝[1] 

机构地区：[1]海军大连舰艇学院装备系统与自动化系,辽宁大连116013

出　　处：《控制与决策》2006年第2期184-188,共5页Control and Decision

基　　金：国家自然科学基金项目(70571085);辽宁省自然科学基金项目(20022148)

摘　　要：在分析层次分析法(AHP)基本原理及其应用问题的基础上,提出了给定模糊判断矩阵下的模糊数判断矩阵满意水平的概念,建立了给定模糊判断矩阵下的极大化满意水平的模糊数判断矩阵及其权重向量求解模型.研究了用遗传算法求解模型的方法,设计了一种主从编码方式及其自主遗传算法结构.仿真结果表明了该算法的有效性和实用价值.A notion of satisfactory level is proposed for fuzzy numerical comparison matrix with the given fuzzy comparison matrix. A model is built to find the optimal fuzzy numerical comparison matrix and its eigenvector for a given fuzzy comparison matrix in order to maximize the satlsfatory level subjected to the constraint of consistency. A genetic algorithm is given to obtain the optimal feasibility by means of the chromosome syntax of main-secondary two parts and their self-genetic function. Simulation results show the effectiveness of the proposed algorithm.

关 键 词：层次分析法 模糊判断矩阵 满意水平 遗传算法 

分 类 号：O223[理学—运筹学与控制论]