On rank reversal and TOPSIS method

被引：276
作者：
Socorro Garcia-Cascales, M. [2 ]
Teresa Lamata, M. [1 ]
机构：
[1] Univ Granada, Dpto Ciencias Comp & Inteligencia Artificial, CITIC, E-18071 Granada, Spain
[2] Univ Politecn Cartagena, Dpto Elect Tecnol Comp & Proyectos, Murcia, Spain
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 56卷 / 5-6期
关键词：
TOPSIS method; Rank reversal; Normalization; Absolute mode; Relative mode; PRESERVATION; NORMALIZATION; MODELS;
D O I：
10.1016/j.mcm.2011.12.022
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Rank reversal is a phenomenon that occurs when a decision maker, in the process of selecting an alternative from a set of choices, is confronted with new alternatives that were not thought about when the selection process was initiated. It depends on the relationship between this new alternative and the old ones under each criterion. In this paper, we study the rank reversal phenomenon in the TOPSIS method and we propose modifications in the algorithm of Hwang and Yoon in order to solve the problem. Moreover, we present a general demonstration of the proposed modifications in the algorithm, as well as a numerical example to show these modifications. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：123 / 132
页数：10
相关论文
共 26 条
[1]  
[Anonymous], 1992, Fuzzy Multiple Attribute Decision Making: Methods and Applications
[2]  
BARZILAI J, 1994, INFOR, V32, P57
[3]   THE LEGITIMACY OF RANK REVERSAL - A COMMENT [J].
BELTON, V ;
GEAR, T .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1985, 13 (03) :143-144
[4]   MEASURABLE MULTIATTRIBUTE VALUE FUNCTIONS [J].
DYER, JS ;
SARIN, RK .
OPERATIONS RESEARCH, 1979, 27 (04) :810-822
[5]   REMARKS ON THE ANALYTIC HIERARCHY PROCESS [J].
DYER, JS .
MANAGEMENT SCIENCE, 1990, 36 (03) :249-258
[6]  
DYER JS, 1990, MANAGE SCI, V36, P274, DOI 10.1287/mnsc.36.3.274
[7]   Solving a decision problem with linguistic information [J].
Garcia-Cascales, M. Socorro ;
Lamata, M. Teresa .
PATTERN RECOGNITION LETTERS, 2007, 28 (16) :2284-2294
[8]   REMARKS ON THE ANALYTIC HIERARCHY PROCESS - REPLY [J].
HARKER, PT ;
VARGAS, LG .
MANAGEMENT SCIENCE, 1990, 36 (03) :269-273
[9]  
Hwang C.L., 1981, Multiple Attibute Decision Methods and Applications
[10]  
Keeney RL, 1976, Decisions with Multiple Objectives: Preferences, and Value Tradeoffs
123