FUZZY OUTRANKING METHODS: RECENT DEVELOPMENTS

The main objective of this chapter is to account for the most recent developments related to fuzzy outranking methods with a particular focus on the fuzzy outranking method developed by the authors. The valued outranking methods PROMETHEE and ELECTRE III, which are the outranking methods the most used for application in real-life multi-criteria decision aid problems, are also presented. The description of the general outranking approach is provided.

[1]  Gerhard O. Mensch,et al.  TIMS Studies in the management sciences : Burton V. Dean and Joel L. Goldhar (eds.), Management of Research and Innovation, North-Holland Publishing Company, Amsterdam, Vol. 15, 1980, 300 pp. , 1983 .

[2]  Paul Xirouchakis,et al.  Decision-based methods for early phase sustainable product design , 2007 .

[3]  Cerry M. Klein,et al.  New algorithm for the ranking procedure in fuzzy decision-making , 1989, IEEE Trans. Syst. Man Cybern..

[4]  Bart Muys,et al.  Comparing multiple criteria decision methods to extend a geographical information system on afforestation , 2005 .

[5]  P. Vincke Exploitation of a crisp relation in a ranking problem , 1992 .

[6]  Paul C. Xirouchakis,et al.  Construction of a two-parameters fuzzy outranking relation from fuzzy evaluations , 2004, Fuzzy Sets Syst..

[7]  B. Roy,et al.  The use of fuzzy outranking relations in preference modelling , 1992 .

[8]  Denis Bouyssou,et al.  Multicriteria decision‐aid, Vincke, Ph., Chichester: Wiley, 1992 , 1994 .

[9]  Jean Pierre Brans,et al.  A PREFERENCE RANKING ORGANIZATION METHOD , 1985 .

[10]  Jean-Luc Marichal,et al.  Aggregation operators for multicriteria decision aid , 1998 .

[11]  J. Kacprzyk,et al.  Optimization Models Using Fuzzy Sets and Possibility Theory , 1987 .

[12]  Bernard Roy,et al.  Classement et choix en présence de points de vue multiples , 1968 .

[13]  Pekka Salminen,et al.  ELECTRE III and IV Decision Aids in an Environmental Problem , 1997 .

[14]  Gwo-Hshiung Tzeng,et al.  Application of multiple criteria decision making for network improvement , 1997 .

[15]  Josip Petraš,et al.  Ranking the Sites for Low‐ and Intermediate‐Level Radioactive Waste Disposal Facilities in Croatia , 1997 .

[16]  C. Pasche EXTRA: An expert system for multicriteria decision making , 1991 .

[17]  M. Sugeno,et al.  Fuzzy Measures and Integrals: Theory and Applications , 2000 .

[18]  Dimitris Kiritsis,et al.  Multicriteria decision-aid approach for product end-of-life alternative selection , 2004 .

[19]  H. Pastijn,et al.  Constructing an outranking relation with ORESTE , 1989 .

[20]  Martin Rogers,et al.  Choosing realistic values of indifference, preference and veto thresholds for use with environmental criteria within ELECTRE , 1998, Eur. J. Oper. Res..

[21]  J. Siskos A way to deal with fuzzy preferences in multi-criteria decision problems , 1982 .

[22]  Thomas Spengler,et al.  Fuzzy outranking for environmental assessment. Case study: iron and steel making industry , 2000, Fuzzy Sets Syst..

[23]  M. Goumas,et al.  An extension of the PROMETHEE method for decision making in fuzzy environment: Ranking of alternative energy exploitation projects , 2000, Eur. J. Oper. Res..

[24]  Gwo-Hshiung Tzeng,et al.  MULTICRITERIA EVALUATION FOR STRATEGIES OF IMPROVING AND CONTROLLING AIR-QUALITY IN THE SUPER CITY - A CASE-STUDY OF TAIPEI CITY , 1994 .

[25]  Annika Kangas,et al.  Outranking methods as tools in strategic natural resources planning , 2001 .

[26]  Benedetto Matarazzo,et al.  New approaches for the comparison of L-R fuzzy numbers: a theoretical and operational analysis , 2001, Fuzzy Sets Syst..

[27]  J. Wang (International Journal of Production Research, 35(4):995-1010)A Fuzzy Outranking Method for Conceptual Design Evaluation , 1997 .

[28]  Juite Wang,et al.  Ranking engineering design concepts using a fuzzy outranking preference model , 2001, Fuzzy Sets Syst..

[29]  Marc Roubens,et al.  Fuzzy Preference Modelling and Multicriteria Decision Support , 1994, Theory and Decision Library.

[30]  Mao-Jiun J. Wang,et al.  Ranking fuzzy numbers with integral value , 1992 .

[31]  M. Roubens Preference relations on actions and criteria in multicriteria decision making , 1982 .

[32]  N. Moussiopoulos,et al.  Application of ELECTRE III for the Integrated Management of Municipal Solid Wastes in the Greater Athens Area , 1997 .

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

[34]  S. Chanas Fuzzy Optimization in Networks , 1987 .

[35]  Lucien Duckstein,et al.  Ranking Ground-water Management Alternatives by Multicriterion Analysis , 1994 .

[36]  Maria Giannopoulou,et al.  Multicriteria evaluation of transportation infrastructure projects: an application of PROMETHEE and GAIA methods , 2003 .

[37]  George Mavrotas,et al.  Project prioritization under policy restrictions. A combination of MCDA with 0-1 programming , 2006, Eur. J. Oper. Res..

[38]  Gert van Dijk,et al.  Evaluating the financial performance of agri-food firms : A multicriteria decision-aid approach , 2005 .

[39]  Bernard Roy,et al.  Ranking of suburban line extension projects on the Paris metro system by a multicriteria method , 1982 .

[40]  Juite Wang,et al.  Fuzzy outranking approach to prioritize design requirements in quality function deployment , 1999 .

[41]  Maurizio Cellura,et al.  Decision making in energy planning: the ELECTRE multicriteria analysis approach compared to a FUZZY-SETS methodology , 1998 .

[42]  Zülal Güngör,et al.  A fuzzy outranking method in energy policy planning , 2000, Fuzzy Sets Syst..

[43]  M. Goedkoop,et al.  The Eco-indicator 99, A damage oriented method for Life Cycle Impact Assessment , 1999 .

[44]  Tarik Al-Shemmeri,et al.  Environmental impact assessment and ranking the environmental projects in Jordan , 1999, Eur. J. Oper. Res..

[45]  D. E. Bell,et al.  Conflicting Objectives in Decisions , 1978 .

[46]  Marc Roubens,et al.  Ranking and defuzzification methods based on area compensation , 1996, Fuzzy Sets Syst..

[47]  M. Roubens Some properties of choice functions based on valued binary relations , 1989 .

[48]  Z. Babic,et al.  Ranking of enterprises based on multicriterial analysis , 1998 .

[50]  Mark P. Wachowiak,et al.  Aggregation operators for selection problems , 2002, Fuzzy Sets Syst..

[51]  Benedetto Matarazzo,et al.  Multicriterion analysis of preferences by means of pairwise actions and criterion comparisons ( MAPPACC) , 1986 .

[52]  Patrice Perny Modélisation, agrégation et exploitation de préférences floues dans une problématique du rangement : bases axiomatiques, procédures et logiciels , 1992 .

[53]  P. Vincke,et al.  Note-A Preference Ranking Organisation Method: The PROMETHEE Method for Multiple Criteria Decision-Making , 1985 .

[54]  David A. Larson,et al.  On the physical quality of life index and evaluating economic welfare between nations , 1979 .

[55]  Paul Xirouchakis,et al.  Fuzzy Multicriteria Decision Aid Method for Conceptual Design , 2005 .

[56]  S. Orlovsky Decision-making with a fuzzy preference relation , 1978 .

[57]  Jean-Claude Vansnick On the problem of weights in multiple criteria decision making (the noncompensatory approach) , 1986 .

[58]  Bertrand Mareschal,et al.  An interval version of PROMETHEE for the comparison of building products' design with ill-defined data on environmental quality , 1998, Eur. J. Oper. Res..

[59]  J. Paelinck Qualiflex: A flexible multiple-criteria method , 1978 .

[60]  K. Nakamura Preference relations on a set of fuzzy utilities as a basis for decision making , 1986 .

[61]  Jean-Marc Martel,et al.  A Multicriteria Approach For Selecting A Portfolio Manager , 1998 .

[62]  Piotr Czyzak,et al.  Possibilistic construction of fuzzy outranking relation for multiple-criteria ranking , 1996, Fuzzy Sets Syst..

[63]  B. Elevli,et al.  Multicriteria choice of ore transport system for an underground mine: application of PROMETHEE methods , 2004 .

[64]  Martin Rogers,et al.  USING ELECTRE III TO CHOOSE ROUTE FOR DUBLIN PORT MOTORWAY , 2000 .

[65]  José Rui Figueira,et al.  An application of a multi‐criteria approach to assessing the performance of Portugal's economic sectors , 2005 .

[66]  Lucien Yves Maystre,et al.  Méthodes multicritères Electre , 1994 .

[67]  Bernard Roy,et al.  A programming method for determining which Paris metro stations should be renovated , 1986 .

[68]  Paul C. Xirouchakis,et al.  Construction of global fuzzy preference structures from two-parameter single-criterion fuzzy outranking relations , 2005, Fuzzy Sets Syst..