海军航空工程学院学报Issue(6)：674-678,5.DOI:10.7682/j.issn.1673-1522.2013.06.020
基于广义马氏距离的混合型多属性决策的TOPSIS方法
TOPSIS Method for Hybrid Multiple-Attribute Decision Making Based on Generalized Mahalanobis Distance
张峰 1谢振华 1程江涛 1林健 2徐衡博3
作者信息
- 1. 海军航空工程学院青岛校区，山东青岛266041
- 2. 91033部队，山东青岛266071
- 3. 91423部队，山东莱阳265200
- 折叠
摘要
Abstract
In order to solve the hybrid multiple-attribute decision making problem, different attribute values were unified into interval number. In the TOPSIS based on Mahalanobis distance, because of the strong linear correlation indexes, the covariance matrix was singular, and calculating the Mahalanobis distance didn’t work . Therefore , covariance matrix of in-terval number was defined and singular value decomposition method was adopted to calculate generalized inverse matrix of covariance matrix. The improved algorithm overcame the defects in the traditional TOPSIS model of river health assess-ment, such as correlations between indices, uncertainty in estimating the weights subjectively, difficulty in determining the membership function and possibility of the scheme closed to ideal solution and negative-ideal solution concurrently. In the end, a numerical example illustrated the validity and applicability of the proposed method.关键词
混合型多属性决策/区间数/协方差矩阵/广义逆矩阵/逼近理想解排序法Key words
hybrid multi-attribute decision making/interval number/covariance matrix/generalized inverse matrix/TOP-SIS引用本文复制引用
张峰,谢振华,程江涛,林健,徐衡博..基于广义马氏距离的混合型多属性决策的TOPSIS方法[J].海军航空工程学院学报,2013,(6):674-678,5.
