Rank Reversal in the PROMETHEE II Method: Some New Results

被引:48
作者
Mareschal, B. [1 ]
De Smet, Y. [2 ]
Nemery, P. [2 ]
机构
[1] Univ Libre Bruxelles, Solvay Business Sch, Brussels, Belgium
[2] Univ Libre Bruxelles, Fac Engn, CODE SMG, Brussels, Belgium
来源
IEEM: 2008 INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT, VOLS 1-3 | 2008年
关键词
Multiple criteria analysis; multicriteria decision aid; PROMETHEE II ranking; rank reversal;
D O I
10.1109/IEEM.2008.4738012
中图分类号
F [经济];
学科分类号
02 ;
摘要
The aim of this paper is to study properties of multicriteria decision-aid ranking methods based on pair-wise comparisons in regards to rank reversals. At first we introduce the notion of pair-wise rank reversal and we show that this notion is equivalent to rank reversal. Then we analyze more particularly the PROMETHEE II method and we clarify conditions under which the PROMETHEE II ranking might suffer from rank reversal problems. Finally, we prove that the PROMETHEE multicriteria net flow is the centered score that minimizes the sum of the squared deviations from the pair-wise comparisons of the alternatives.
引用
收藏
页码:959 / +
页数:2
相关论文
共 15 条
[1]   WATER-RESOURCES PLANNING IN THE MIDDLE-EAST - APPLICATION OF THE PROMETHEE-V MULTICRITERIA METHOD [J].
ABUTALEB, MF ;
MARESCHAL, B .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1995, 81 (03) :500-511
[2]   Application of multicriteria decision aid to rank the Jordan-Yarmouk basin co-riparians according to the Helsinki and ILC rules [J].
Al-Kloub, B ;
Abu-Taleb, MF .
WATER INTERNATIONAL, 1998, 23 (03) :164-173
[3]   ON A SHORT-COMING OF SAATY METHOD OF ANALYTIC HIERARCHIES [J].
BELTON, V ;
GEAR, T .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1983, 11 (03) :228-230
[4]  
Brans JP, 2005, INT SER OPER RES MAN, V78, P163, DOI 10.1007/b100605
[5]   A multicriteria approach to the selection of preventive maintenance intervals [J].
Chareonsuk, C ;
Nagarur, N ;
Tabucanon, MT .
INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS, 1997, 49 (01) :55-64
[6]   Assembly planning with an ordering genetic algorithm [J].
De Lit, P ;
Latinne, P ;
Rekiek, B ;
Delchambre, A .
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 2001, 39 (16) :3623-3640
[7]   A note on the use of PROMETHEE multicriteria methods [J].
DeKeyser, W ;
Peeters, P .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 89 (03) :457-461
[8]  
Figueira J., 2005, MULTIPLE CRITERIA DE, P163
[9]   Design and implementation of a group DSS for sustaining renewable energies exploitation [J].
Georgopoulou, E ;
Sarafidis, Y ;
Diakoulaki, D .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 109 (02) :483-500
[10]   Outranking methods as tools in strategic natural resources planning [J].
Kangas, A ;
Kangas, J ;
Pykäläinen, J .
SILVA FENNICA, 2001, 35 (02) :215-227