强计算条件下判断矩阵的优选分析  

Selection and optimization analysis of judgment matrixes based on strong calculation

作　　者：曾现洋[1] 郑红霞[1] 徐广印[2] 曲建华[2] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]河南农业大学机电工程学院,河南郑州450002

出　　处：《系统工程与电子技术》2005年第7期1247-1249,共3页Systems Engineering and Electronics

摘　　要：针对AHP中对判断矩阵的研究大多侧重于一个判断矩阵的不足,以强计算为基础,通过计算大量矩阵的一致性比例、期望判断阵、特征值、关联度等方法,对多个判断矩阵进行比较分析,从中选择满足一致性要求的判断矩阵,并进行优化,使其包含较多的原始信息。最后通过实例,介绍了这种优选方法的基本步骤,验证了该算法的有效性。Aimed at the scantiness of that most studies on judgment matrix in AHP emphasize particularly on one judgment＇s improvement, based on strong calculation, this dissertation compares and analyzes many judgment matrixes and selects a judgment matrix which met with consistent requirements by calculating, estimate judgment matrix, eigenvalues, degrees of association, etc. Some improvements are made so that the judgment matrix can contain more original information. Finally, a simple example is provided, the basic marmers of the proposed method is introduced and its validity is demonstrated.

关 键 词：层次分析法 判断矩阵 优化 强计算 关联度 

分 类 号：O224[理学—运筹学与控制论] TP391.75[理学—数学]