An Overview of ELECTRE Methods and their Recent Extensions

We present main characteristics of ELECTRE (ELimination Et Choix Traduisant la REalite - ELimination and Choice Expressing the REality) family methods, designed for multiple criteria decision aiding. These methods use as a preference model an outranking relation on the set of actions—it is constructed in result of concordance and nondiscordance tests involving a specific input preference information. After a brief description of the constructivist conception in which the ELECTRE methods are inserted, we present the main features of these methods. We discuss such characteristic features as the possibility of taking into account positive and negative reasons in the modelling of preferences, without requiring commensurable performance scales; the use of discriminating thresholds for taking into account the imperfect knowledge of data; the absence of systematic compensation between ‘gains’ and ‘losses’. The main weaknesses are also presented. Then, some aspects related to new developments are outlined. These are related to some new methodological developments, new procedures, axiomatic analysis, software tools and several other aspects. This paper is an updated version of a chapter published by the authors under the title ‘ Electre Methods: Main Features and Recent Developments’ in C. Zopounidis and P. Pardalos (Editors): Handbook of Multicriteria Analysis, Springer, Berlin 2010, pp. 51–89. Copyright © 2012 John Wiley & Sons, Ltd.

[1]  Juscelino Almeida Dias,et al.  Laboratoire D'analyse Et Modélisation De Systèmes Pour L'aide À La Décision Cahier Du Lamsade 274 Electre Tri-c: a Multiple Criteria Sorting Method Based on Characteristic Reference Actions Electre Tri-c: a Multiple Criteria Sorting Method Based on Characteristic Reference Actions , 2022 .

[2]  Raymond Bisdorff,et al.  Concordant outranking with multiple criteria of ordinal significance , 2004, 4OR.

[3]  Luis C. Dias,et al.  Supporting groups in sorting decisions: Methodology and use of a multi-criteria aggregation/disaggregation DSS , 2007, Decis. Support Syst..

[4]  I. Linkov,et al.  Risk-based classification system of nanomaterials , 2009 .

[5]  Roman Słowiński,et al.  Searching for an equivalence between decision rules and concordance-discordance preference model in multicriteria choice problems , 2002 .

[6]  B. Roy THE OUTRANKING APPROACH AND THE FOUNDATIONS OF ELECTRE METHODS , 1991 .

[7]  Patrice Perny,et al.  Multicriteria filtering methods based onconcordance and non-discordance principles , 1998, Ann. Oper. Res..

[8]  Luis C. Dias,et al.  Resolving inconsistencies among constraints on the parameters of an MCDA model , 2003, Eur. J. Oper. Res..

[9]  Denis Bouyssou,et al.  A General Model of Preference Aggregation , 1997 .

[10]  Ali Shanian,et al.  A non-compensatory compromised solution for material selection of bipolar plates for polymer electrolyte membrane fuel cell (PEMFC) using ELECTRE IV , 2006 .

[11]  Denis Bouyssou,et al.  A characterization of strict concordance relations , 2002 .

[12]  S. Greco,et al.  Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle , 2002 .

[13]  José Rui Figueira,et al.  ELECTRE methods with interaction between criteria: An extension of the concordance index , 2009, Eur. J. Oper. Res..

[14]  Patrick Meyer,et al.  RUBIS: a bipolar-valued outranking method for the choice problem , 2008, 4OR.

[15]  Salvatore Greco,et al.  Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions , 2008, Eur. J. Oper. Res..

[16]  Denis Bouyssou,et al.  An axiomatic analysis of concordance-discordance relations , 2009, Eur. J. Oper. Res..

[17]  Magdalene Marinaki,et al.  An evolutionary approach to construction of outranking models for multicriteria classification: The case of the ELECTRE TRI method , 2009, Eur. J. Oper. Res..

[18]  Salvatore Greco,et al.  Rough sets theory for multicriteria decision analysis , 2001, Eur. J. Oper. Res..

[19]  J. Figueira,et al.  A note on the paper, “Ranking irregularities when evaluating alternatives by using some ELECTRE methods”, by Wang and Triantaphyllou, Omega (2008) , 2009 .

[20]  P. Vincke,et al.  Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results , 1984 .

[21]  Bernard Roy,et al.  Handling effects of reinforced preference and counter-veto in credibility of outranking , 2008, Eur. J. Oper. Res..

[22]  Philippe Girardin,et al.  Sorting cropping systems on the basis of their impact on groundwater quality , 2000, Eur. J. Oper. Res..

[23]  Bernard Roy,et al.  Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure , 2002, Eur. J. Oper. Res..

[24]  Denis Bouyssou,et al.  Noncompensatory and generalized noncompensatory preference structures , 1986 .

[25]  José Rui Figueira,et al.  Using assignment examples to infer weights for ELECTRE TRI method: Some experimental results , 2001, Eur. J. Oper. Res..

[26]  Daniel Vanderpooten,et al.  A Generalized Definition of Rough Approximations Based on Similarity , 2000, IEEE Trans. Knowl. Data Eng..

[27]  Didier Dubois,et al.  A characterization of generalized concordance rules in multicriteria decision making , 2003, Int. J. Intell. Syst..

[28]  Juscelino Almeida Dias,et al.  A stochastic method for robustness analysis in sorting problems , 2009, Eur. J. Oper. Res..

[29]  V. Mousseau Using Assignment Examples to Infer Category Limits for the ELECTRE TRI Method , 2002 .

[30]  Juan Carlos Leyva López,et al.  A multicriteria decision support system with an evolutionary algorithm for deriving final ranking from a fuzzy outranking relation , 2008, Oper. Res..

[31]  José Rui Figueira,et al.  Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method , 2009, Eur. J. Oper. Res..

[32]  Roman Słowiński,et al.  Preference Representation by Means of Conjoint Measurement and Decision Rule Model , 2002 .

[33]  M. Pirlot A Common Framework for Describing Some Outranking Methods , 1997 .

[34]  Roman Słowiński,et al.  Rough Classification with Valued Closeness Relation , 1994 .

[35]  Salvatore Greco,et al.  The Possible and the Necessary for Multiple Criteria Group Decision , 2009, ADT.

[36]  S. Mirasgedis,et al.  A multiple criteria decision-aid approach in defining national priorities for greenhouse gases emissions reduction in the energy sector , 2003, Eur. J. Oper. Res..

[37]  Luis C. Dias,et al.  Valued outranking relations in ELECTRE providing manageable disaggregation procedures , 2004, Eur. J. Oper. Res..

[38]  Luis C. Dias,et al.  Dealing with inconsistent judgments in multiple criteria sorting models , 2006, 4OR.

[39]  R. Luce Semiorders and a Theory of Utility Discrimination , 1956 .

[40]  D. Kaliampakos,et al.  Construction, storage capacity and economics of an underground warehousing – logistics center in Athens, Greece , 2004 .

[41]  Juscelino Almeida Dias,et al.  A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method , 2012, Eur. J. Oper. Res..

[42]  Thierry Marchant,et al.  An axiomatic approach to noncompensatory sorting methods in MCDM I: The case of two categories (juin 2005) , 2005 .

[43]  B. Roy Two conceptions of decision aiding , 2010 .

[44]  Denis Bouyssou,et al.  Further results on concordance relations , 2007 .

[45]  Jacques Méhu,et al.  Choosing a sustainable demolition waste management strategy using multicriteria decision analysis. , 2009, Waste management.

[46]  Bernard Roy,et al.  Le cas des raffineries de la société Total , 2007 .

[47]  Maria Franca Norese,et al.  ELECTRE III as a support for participatory decision-making on the localisation of waste-treatment plants , 2006 .

[48]  Denis Bouyssou,et al.  Some remarks on the notion of compensation in MCDM , 1986 .

[49]  Bernard Roy,et al.  Use of multi-criteria decision-aids for risk zoning and management of large area subjected to mining-induced hazards , 2004 .

[50]  Milosz Kadzinski,et al.  ELECTREGKMS: Robust ordinal regression for outranking methods , 2011, Eur. J. Oper. Res..

[51]  Luis C. Dias,et al.  Inferring Electre's veto-related parameters from outranking examples , 2006, Eur. J. Oper. Res..

[52]  Denis Bouyssou,et al.  A characterization of concordance relations , 2005, Eur. J. Oper. Res..

[53]  D. E. Bell,et al.  Decision Making: DESCRIPTIVE, NORMATIVE, AND PRESCRIPTIVE INTERACTIONS IN DECISION MAKING , 1988 .

[54]  Vincent Mousseau,et al.  A user-oriented implementation of the ELECTRE-TRI method integrating preference elicitation support , 2000, Comput. Oper. Res..

[55]  Vincent Mousseau,et al.  Inferring an ELECTRE TRI Model from Assignment Examples , 1998, J. Glob. Optim..

[56]  J. Siskos Assessing a set of additive utility functions for multicriteria decision-making , 1982 .

[57]  William M. Goldstein,et al.  Decomposable threshold models , 1991 .

[58]  Florent Joerin,et al.  Using GIS and outranking multicriteria analysis for land-use suitability assessment , 2001, Int. J. Geogr. Inf. Sci..

[59]  E. Triantaphyllou,et al.  Ranking irregularities when evaluating alternatives by using some ELECTRE methods , 2008 .

[60]  Luis C. Dias,et al.  An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE TRI , 2002, Eur. J. Oper. Res..

[61]  Thierry Marchant,et al.  An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories , 2007, Eur. J. Oper. Res..

[62]  D. Bouyssou,et al.  Nontransitive decomposable conjoint measurement , 2002 .

[63]  Lisa Simpson,et al.  Do Decision Makers Know What They Prefer?: MAVT and ELECTRE II , 1996 .

[64]  菅野 道夫,et al.  Theory of fuzzy integrals and its applications , 1975 .