基于二元语义层次分析法的主观权重确定算法  

A New and Effective Method for Determining Subjetive Weight of Index Based on Two-Tuple Linguistic AHP

作　　者：游永彬[1] 周延年[2] 郑玉山[1] 

机构地区：[1]西北工业大学自动化学院,陕西西安710072 [2]西北工业大学计算机学院,陕西西安710072

出　　处：《西北工业大学学报》2013年第5期710-715,共6页Journal of Northwestern Polytechnical University

基　　金：西北工业大学基础研究基金(JC20100217)资助

摘　　要：针对解决具有语言评价信息的指标主观权重问题,提出了一种基于二元语义层次分析法的主观权重确定方法。该方法采用近年来最新发展的二元语义概念对语言评价信息进行处理,获得二元语义判断矩阵,引入过渡矩阵概念,将二元语义判断矩阵采用模糊互补矩阵表示,通过迭代调整算法,最终确定评价指标的主观权重。最后给出一个实例分析。结果表明方法简单、有效和易于计算。A new and Effective method is proposed to solve the subjective weight of evaluation index with linguistic assessment imformation. In the method, the two-tuple fuzzy linguistic representation developed in recent years is used to aggregate the linguistic assessement information, and then two-tuple linguistic judgement matrix is obtained, which is denoted as fuzzy complementary matrix by introducting the definition of transition matrix. Finaly, the sub- jetive weight of index is determined by the iterative adjustment. An example is given to illustrate the use of the proposed approaches.

关 键 词：评价指标 主观权重 二元语义 层次分析法 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]