topsis改进1
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中南大学学报（医学版）
J Cent South Univ (Med Sci)
2013, 38(2) hp://www.csumed.org; hp://xbyx.xysm.net
196
一种新的改良 TOPSIS 法及其医学应用
王一任
1
，任力锋
2
，陈丽文
3
，孙振球
1
( 中南大学 1. 公共卫生学院；2. 卫生部肝胆肠外科研究中心；3. 中南大学学报 ( 医学版 ) 编辑部，长沙 410078)
[摘要] TOPSIS 法是一种应用十分广泛的静态综合评价方法。在实际应用中，TOPSIS 法存在着逆序问题。而且
其评价值
C
i
只能反映各评价对象内部的相对接近度，并不能反映与理想的最优方案的接近程度；评价值
C
i
区分各评
价对象优劣的范围也有局限。鉴于 TOPSIS 法应用的广泛性，有必要对 TOPSIS 法的不足进行改进。本文将提出一种
新的改良 TOPSIS 法，并给出该法的医学应用实例。该法不仅具有强保序性，而且比传统 TOPSIS 法灵敏。
[ 关键词 ] TOPSIS 法；改良 TOPSIS 法；逆序问题
A novel improved TOPSIS method and its application in
medical science
WANG Yiren
1
, REN Lifeng
2
, CHEN Liwen
3
, SUN Zhenqiu
1
(1. School of Public Health; 2. National Hepatobiliary and Enteric Surgery Research Center; 3. Editorial Department of Journal of Central South
University (Medical Science), Central South University, Changsha 410078, China)
ABSTRACT
The TOPSIS Method is a static comprehensive evaluation method for wide range applications.
However, it encounters the reverse order problem in practical applications. Moreover, its evaluation
value C
i
only reects the relative proximity of each evaluation object inside but not to the degree
of closeness to the ideal optimal solution. The evaluation value is also limited to distinguish
between the ranges of merit ranking. Since TOPSIS method has the wide range of applications, it
is necessary to overcome the drawbacks of TOPSIS method. is article proposes a new improved
TOPSIS method, which shows strict isotonicity and is more sensitive than the traditional TOPSIS
method. e medical application based on this improved TOPSIS method is introduced.
KEY WORDS
TOPSIS method; improved TOPSIS method; rank reversal phenomenon
收稿日期
(Date of reception)
：2012-09-07
作者简介
(Biography)
： 王一任，博士，讲师，主要从事综合评价方法及其医学应用的研究。
通信作者
(Corresponding author)
：陈丽文，Email: clwcsu@163.com
基金项目
(Foundation items)
：湖南省学位与研究生教育教学改革研究项目 (JG2012B005)；中南大学中央高校基本科研业务费项目 (2010-
54)；中南大学研究生教学改革项目 (2012jg20)。is work was supported by Degree and Postgraduate Research Project of Education Reform of Hunan Province
(JG2012B005), the Fundamental Research Funds for the Central Universities under Grant (2010-54), and Degree and Postgraduate Research Project of Education
Reform of Central South University(2012jg20), P. R. China.
DOI:10.3969/j.issn.1672-7347.2013.02.015
hp://xbyx.xysm.net/xbwk/leup/PDF/201302196.pdf
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