TOPSIS分析方法研究.doc

摘要
本文主要介绍了TOPSIS分析方法理论及其主要思想,运用数学理论,对其算法进行了详细的分析,并指出原始方法存在的优缺点;在此基础上提出了一种改进的TOPSIS分析方法,给出具体求权重的方法,,突出其实用性,推广其应用范围.
关键词 TOPSIS法; 改进的TOPSIS; 权重;逆序
TOPSIS ANALYSIS METHOD
ABSTRACT
This paper describes a method of theory—TOPSIS, and its main idea. Using mathematical theory, its algorithm for a detailed analysis and noted the advantages and disadvantages of the original methods. On this base ,an improved TOPSIS method is given, and specific for weight, in order to highlight its objective impartiality. The paper also analyzes the causes of TOPSIS Reverse and its improved methods, highlight its practicality and the promotion of its use.
Keywords TOPSIS method; Improved TOPSIS; weight; Reverse
目录
中文摘要....................................................………………………………………………….Ⅰ
英文摘要....................................................………………………………………………….Ⅱ
引言.......................................................……………………………………………………...1
1 一般TOPSIS分析方法
TOPSIS分析方法概念................................………………………………2
TOPSIS分析方法的一般解题步骤........................………………………2
应用实例...................……………………………………………………..4
2 改进的TOPSIS法
一般TOPSIS解法的缺点……………….......................................……………5
改进的TOPSIS法...……………………………………………………………….5
,确定理想解…………………………………………………..5
指标权重的确定……………………………………………………….…..6
各方案优劣排序…………………………………………………………...7
实例分析…………………………………………………………………………….7
3. 关于TOPSIS法的逆序问题……………………………………………………………9
逆序产生的原因…………………………………………………………………..9
由于增加新的方案产生逆序................…………………………………9
由于指标权重改变原始数据结构产生逆序........……………………10
逆序消除的方法……………………………………………………………….….11
结论………………………………………………………………………………………….....13
参考文献..................................................……………………………………………………..13
致谢......................................................………………………………………………………...14
引言
TOPSIS的全称是“逼近于理想值的排序方法”(Technique for Order Preference bv Similarity to Ideal Solution),是Hwang和Yoon于1