An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE TRI

被引:154
作者
Dias, L
Mousseau, V
Figueira, J
Clímaco, J
机构
[1] Inst Engn Sistemas & Comp Coimbra, P-3000033 Coimbra, Portugal
[2] Univ Coimbra, Fac Econ, P-3004512 Coimbra, Portugal
[3] Univ Paris 09, LAMSADE, F-75775 Paris 16, France
关键词
multiple criteria analysis; sorting problems; aggregation/disaggregation; robustness and sensitivity analysis;
D O I
10.1016/S0377-2217(01)00250-8
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
ELECTRE TRI is a well-known method to assign a set of alternatives to a set of predefined categories, considering multiple criteria, Using this method requires setting many parameters. which is often a difficult task. We consider the case where the decision makers (DMs) in the decision process are unsure of which values should each parameter take, which may result from uncertain, imprecise or inaccurately determined information, as well as from lack of consensus among them. This paper discusses the synergy between two approaches developed independently to deal with this difficulty. The first approach infers the value of parameters from assignment examples provided by the DMs, as an elicitation aid. Each assignment example originates mathematical constraints that the parameter values should satisfy. The second approach considers a set of constraints on the parameter values reflecting the imprecise information that the DMs are able to provide. Then. it computes the best and worst categories for each alternative compatible with constraints, in order to present robust conclusions. Both approaches avoid asking for precise values for the parameters. Rather, they proceed to solve the problem in a way that requires from the DMs much less effort. By integrating these two approaches, this paper proposes a new interactive approach, where the insight obtained during robustness analyses guides the DMs during the elicitation phase. (C) 2002 Published by Elsevier Science B.V.
引用
收藏
页码:332 / 348
页数:17
相关论文
共 23 条
[1]  
[Anonymous], ADV MULTICRITERIA NO
[2]  
[Anonymous], 1994, INT T OPER RES, DOI DOI 10.1016/0969-6016(94)90010-8
[3]  
[Anonymous], MACH LEARN
[4]   Dominance and potential optimality in multiple criteria decision analysis with imprecise information [J].
Athanassopoulos, AD ;
Podinovski, VV .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1997, 48 (02) :142-150
[5]   MEASURING CREDIBILITY OF COMPENSATORY PREFERENCE STATEMENTS WHEN TRADE-OFFS ARE INTERVAL DETERMINED [J].
BANA E COSTA, CA ;
VINCKE, P .
THEORY AND DECISION, 1995, 39 (02) :127-155
[6]  
BELTON V, 1990, READINGS MULTIPLE CR, P319
[8]   ELECTRE TRI for groups with imprecise information on parameter values [J].
Dias, L ;
Clímaco, J .
GROUP DECISION AND NEGOTIATION, 2000, 9 (05) :355-377
[9]  
Dias L., 2000, 174 LAMSADE U PAR DA
[10]  
Dias L. C., 1999, J. Multi-Criteria Decis. Anal., V8, P74