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Fuzzy Outranking Methods: Recent Developments

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 16))

Abstract

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.

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References

  • Al-Rashdan, D., Al-Kloub, B., Dean, A., and Al-Shemeri, T., 1999, Environmental impact assessment and ranking the environmental projects in Jordan, European Journal of Operational Research, 118: 30-45.

    Article  Google Scholar 

  • Anagnostopoulos, K., Giannoupoulo, M., and Roukounis, Y., 2003, Multicriteria evaluation of transportation infrastructure projects: An application of PROMETHEE and GAIA methods, Advanced Transportation, 14: 599-608.

    Google Scholar 

  • Augusto, M., Figueira, J., Lisboa, J., and Yasin, M., 2005, An application of a multi-criteria approach to assessing the performance of Portugal’s economic sectors: Methodology, analysis and implications, European Business Review, 17: 113-132.

    Article  Google Scholar 

  • Babic, Z., and Plazibat, N., 1998, Ranking of enterprises based on multicriterial analysis, International Journal of Production Economics, 56-57: 29-35.

    Google Scholar 

  • Beccali, M., Cellura, M., and Ardente, D., 1998, Decision making in energy planning: the ELECTRE multicriteria analysis approach compared to a fuzzy sets methodology, Energy Conversion and Management, 39: 1869-1881.

    Article  Google Scholar 

  • Brans, J.-P., and Vincke, Ph., 1985, A preference ranking organization method, Management Sciences, 31: 647-656.

    Article  MATH  MathSciNet  Google Scholar 

  • Bufardi, A., Gheorghe, R., Kiritsis, D., and Xirouchakis, P., 2004, A multicriteria decision-aid approach for product end-of-life alternative selection, International Journal of Production Research, 42: 3139-3157.

    Article  Google Scholar 

  • Chanas, S., 1987, Fuzzy optimization in networks, in: Optimization Models Using Fuzzy Sets and Possibility Theory, Kacprzyk, J., and Orlovski, S.A., (eds.), pp. 308-327, Reidel, Dordrecht.

    Google Scholar 

  • Cote, G., and Waaub, J.-P., 2000, Evaluation of road project impacts: Using the multicriteria decision aid, Cahiers de Geographie du Quebec, 44: 43-64.

    Google Scholar 

  • CzyĪak, P., and SáowiĔski, R., 1996, Possibilistic construction of fuzzy outranking relation for multiple-criteria ranking, Fuzzy Sets Systems, 81: 123-131.

    Article  Google Scholar 

  • Dubois, D., and Prade, H., 1988, Possibility Theory: An Approach to Computerised Processing of Uncertainty, Plenum Press, New York.

    Google Scholar 

  • Duckstein, L., Treichel, W., and El Magnouni, A., 1994, Ranking ground-water management alternatives by multicriterion analysis, ASCE, Journal of Water Resources Planning And Management, 120: 546-565.

    Article  Google Scholar 

  • Elevli, B., and Demirci, A., 2004, Multicriteria choice of ore transport system for an underground mine: Application of PROMETHEE methods, Journal of the South African Institute of Mining and Metallurgy, 104: 251-256.

    Google Scholar 

  • Fodor, J., and Roubens, M., 1994, Fuzzy Preference Modeling and Multicriteria Decision Support, Kluwer, Dordrecht.

    Google Scholar 

  • Fortemps, Ph., and Roubens, M., 1996, Ranking and defuzzification methods based on area compensation, Fuzzy Sets Systems, 82: 319-330.

    Article  MATH  MathSciNet  Google Scholar 

  • Geldermann, J., Spengler, T., and Rentz, O., 2000, Fuzzy outranking for environmental assessment. Case study: iron and steel making industry, Fuzzy Sets Systems, 115: 45-65.

    Article  MATH  Google Scholar 

  • Gheorghe, R., 2005, A new fuzzy multicriteria decision aid method for conceptual design, PhD thesis, EPF Lausanne.

    Google Scholar 

  • Gheorghe, R., Bufardi, A., and Xirouchakis, P., 2004, Construction of a two-parameters outranking relation from fuzzy evaluations, Fuzzy Sets Systems, 143: 391-412.

    Article  MATH  MathSciNet  Google Scholar 

  • Gheorghe, R., Bufardi, A., and Xirouchakis, P., 2005, Construction of global fuzzy preference structures from two-parameter single-criterion fuzzy outranking relations, Fuzzy Sets Systems, 153: 303-330.

    MATH  MathSciNet  Google Scholar 

  • Gheorghe, R., and Xirouchakis, P., 2006, Decision-based methods for early phase sustainable product design, International Journal of Engineering Education, in press.

    Google Scholar 

  • Gilliams, S., Raymaekers, D., Muys, B., and Van Orshoven, J., 2005, Comparing multiple criteria decision methods to extend a geographical information system on afforestation, Computers and Electronics in Agriculture, 49: 142-158.

    Article  Google Scholar 

  • Goedkoop, M., and Spriensma, R., 2000, The Eco-indicator 99—A damage oriented method for Life Cycle Impact Assessment, Methodology Report, 2nd edition, Pre Consultantsbu, Amersfoort, The Netherlands.

    Google Scholar 

  • Goumas, M., and Lygerou, V., 2000, An extension of the PROMETHEE method for decision making in fuzzy environment: Ranking of alternative energy exploitation projects, European Journal of Operational Research, 123: 606-613.

    Article  MATH  Google Scholar 

  • Grabisch, M., 1999, Fuzzy Measures and Integrals: Theory and Applications, Physica-Verlag, Heidelberg.

    Google Scholar 

  • Güngör, Z., and Arikan, F., 2000, A fuzzy outranking method in energy policy planning, Fuzzy Sets Systems, 114: 115-122.

    Article  MATH  Google Scholar 

  • Hababou, M., and Martel, J.-M., 1998, Multicriteria approach for selecting portfolio manager, INFOR Journal, 36: 161-176.

    Google Scholar 

  • Hokkanen, J., and Salminen, P., 1994, Choice of a solid waste management system by using the ELECTRE III method, in Applying MCDA for Environmental Management, Paruccini, M., (ed.), Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Hokkanen, J., and Salminen, P., 1997, ELECTRE III and IV decision aids in an environmental problem, Journal of Multi-Criteria Decision Analysis, 6: 215-226.

    Article  MATH  Google Scholar 

  • Kalogeras, N., Baourakis, G., Zopounidis, C., and van Dijk, G., 2005, Evaluating the financial performance of agri-food firms: a multicriteria decision-aid approach, Journal of Food Engineering, 70: 365-371.

    Article  Google Scholar 

  • Kangas, A., Kangas, J., and Pykäläinen, J., 2001, Outranking methods as tools in strategic natural resources planning, Silva Fennica, 35: 215-227.

    Google Scholar 

  • Karagiannidis, A., and Moussiopoulos, N., 1997, Application of ELECTRE III for the integrated management of municipal solid wastes in the Greater Athens Area, European Journal of Operational Research, 97: 439-449.

    Article  MATH  Google Scholar 

  • Le Téno, J.F., and Mareschal, B., 1998, An interval version of PROMETHEE for the comparison of building product’s design with ill-defined data on environmental quality, European Journal of Operational Research, 109: 522-529.

    Article  MATH  Google Scholar 

  • Leclercq, J.-P., 1984, Propositions d’extension de la notion de dominance en presence de relations deordre sur les pseudo-criteres: Melchior, Revue Belge de Recherche Operationnelle de Statistique et de lnformatique, 24(1): 32-46.

    MATH  Google Scholar 

  • Liou, T.S., and Wang, M.J., 1992, Ranking fuzzy numbers with integral value, Fuzzy Sets Systems, 50: 247-255.

    Article  MathSciNet  Google Scholar 

  • Marichal, J.-L., 1999, Aggregation operators for multicriteria decision aid, PhD thesis, Université de Liège.

    Google Scholar 

  • Matarazzo, B., 1986, Multicriterion analysis of preferences by means of pairwise actions and criterion comparisons (MAPPACC), Applied Mathematics and Computation, 18(2): 119-141.

    Article  MATH  MathSciNet  Google Scholar 

  • Matarazzo, B., and Munda, G., 2001, New approaches for the comparison of L-R fuzzy numbers: A theoretical and operational analysis, Fuzzy Sets Systems, 118: 407-418.

    Article  MATH  MathSciNet  Google Scholar 

  • Mavrotas, G., Diakoulaki, D., and Caloghirou, Y., 2006, Project prioritization under policy restrictions: A combination of MCDA with 0-1 programming, European Journal of Operational Research, 171: 296-308.

    Article  MATH  MathSciNet  Google Scholar 

  • Maystre, L., Pictet, J.,and Simos, J.,1994, Méthodes Multicritères ELECTRE. Description, Conseils Pratiques Et Cas‘Application A Gestion Environementale, Presses Polytechniques et universitaires Romandes, Lausanne.

    Google Scholar 

  • Nakamura, K., 1986, Preference relations on a set of fuzzy utilities as a basis for decision making, Fuzzy Sets Systems, 20: 147-162.

    Article  MATH  Google Scholar 

  • Orlovsky, S.A., 1978, Decision-making with a fuzzy preference relation, Fuzzy Sets Systems, 1: 155-167.

    Article  MATH  MathSciNet  Google Scholar 

  • Paelinck, J., 1978, Qualiflex, a flexible multiple-criteria method, Economic letters, 3: 193-197

    Article  Google Scholar 

  • Pasche, C., 1991, EXTRA: An expert system for multicriteria decision making, European Journal of Operational Research, 52: 224-234.

    Article  MATH  Google Scholar 

  • Pastijn, H., and Leysen, J., 1989, Constructing an outranking relation with ORESTE, Mathematical and Computer Modelling, 12(10-11): 1255-1268

    Article  Google Scholar 

  • Perny, P., 1992, Modélisation, agrégation et exploitation de préférences floues dans une problématique de rangement, PhD thesis, Université Paris-Dauphine.

    Google Scholar 

  • Perny, P., and Roy, B., 1992, Fuzzy outranking relations in preference modeling, Fuzzy Sets Systems, 49: 33-53.

    Article  MATH  MathSciNet  Google Scholar 

  • Petras, J.C.E., 1997, Ranking the sites for low- and intermediate-level radioactive waste disposal facilities in Croatia, International Transactions in Operational Research, 4: 135-159.

    Google Scholar 

  • Rogers, M., and Bruen, M., 1998, Choosing realistic values of indifference, preference and veto thresholds for use with environmental criteria within ELECTRE, European Journal of Operational Research, 107: 542-551.

    Article  MATH  Google Scholar 

  • Rogers, M., and Bruen, M., 2000, Using ELECTRE III to choose route for Dublin Port Motorway, Journal of Transportation Engineering, 126: 313-323.

    Article  Google Scholar 

  • Roubens, M., 1982, Preference Relations on Actions and Criteria in Multicriteria Decision Making, European Journal of Operational Research, 10: 51-55.

    Article  MATH  MathSciNet  Google Scholar 

  • Roubens, M., 1989, Some properties of choice functions based on valued binary relations, European Journal of Operational Research, 40: 309-321.

    Article  MATH  MathSciNet  Google Scholar 

  • Roy, B., 1968, Classement et choix en présence de points de vue multiples (la méthode ELECTRE), R.I.R.O., 8: 57-75.

    Google Scholar 

  • Roy, B., and Bertier, P., 1973, La méthode ELECTRE II - Une application au media-planning, M. Ross (Ed.), OR 72, 291-302, North Holland, Amsterdam.

    Google Scholar 

  • Roy, B., 1974, Critères multiples et modélisation des préférences : l’apport des relations de surclassement, Revue d’Economie Politique, 1: 1-44.

    Google Scholar 

  • Roy, B., 1977, Partial preference analysis and decision-aid: The fuzzy outranking relation concept, in Conflicting Objectives in Decisions, Bell, D.E., Keeney, R. L., and Raiffa, H. (eds.), pp. 40-75, John Wiley and Sons, New York.

    Google Scholar 

  • Roy, B., 1978, ELECTRE III: algorithme de classement basé sur une représentation floue des préférences en présence des critères multiples, Cahiers du CERO, 20: 3-24.

    MATH  Google Scholar 

  • Roy, B., and Hugonnard, J.C., 1982, Ranking of suburban line extension projects on the Paris metro system by a multicriteria method, Transportation Research Part A: General, 16(4): 301-312

    Article  Google Scholar 

  • Roy, B., 1991, The outranking approach and the foundations of ELECTRE methods, Theory and Decisions, 31: 49-73.

    Article  Google Scholar 

  • Roy, B., Présent, M., and Silhol, D., 1986, A programming method for determining which Paris Metro stations should be renovated, European Journal of Operational Research, 24: 318-334.

    Article  Google Scholar 

  • Siskos, J., 1982, A way to deal with fuzzy preferences in multi-criteria decision problems, European Journal of Operational Research, 10: 314-324.

    Article  MATH  Google Scholar 

  • Siskos, J., Lochard, J., and Lombard, J., 1984, A multicriteria decision making methodology under fuzziness: application to the evaluation of radiological protection in nuclear power plant, in: TIMS/Studies in the Management Sciences, H. J. Zimmermann, ed., pp. 261-283, North-Holland, Amsterdam.

    Google Scholar 

  • Smol-ková, R., and Wachowiak, M. P., 2002, Aggregation operators for selection problems, Fuzzy Sets Systems, 131: 23-34.

    Article  Google Scholar 

  • Teng, G.-Y., and Tzeng, G.-H., 1994, Multicriteria evaluation for strategies of improving and controlling air quality in the super city: A case study of Taipei city, Journal of Environmental Management, 40: 213-229.

    Article  Google Scholar 

  • Tseng, T.Y., and Klein, C.M., 1989, New algorithm for the ranking procedure in fuzzy decision making, IEEE Transactions On Systems, Man, And Cybernetics, 19: 1289-1296.

    Article  MathSciNet  Google Scholar 

  • Tzeng, G.-H., and Tsaur, S.-H., 1997, Application of multiple criteria decision making for network improvement, Journal of Advanced Transportation, 31: 49-74.

    Article  Google Scholar 

  • Vincke, Ph., 1992a, Multicriteria Decision-Aid, John Wiley and Sons, Chichester.

    Google Scholar 

  • Vincke, Ph., 1992b, Exploitation of a crisp relation in a ranking problem, Theory and Decision, 32: 221-240.

    Article  MATH  MathSciNet  Google Scholar 

  • Wang, J., 1997, A fuzzy outranking method for conceptual design evaluation, International Journal of Production Research, 35: 995-1010.

    Article  MATH  Google Scholar 

  • Wang, J., 1999, Fuzzy outranking approach to prioritize design requirements in quality function deployment, International Journal of Production Research, 37: 899-916.

    Article  MATH  Google Scholar 

  • Wang, J., 2001, Ranking engineering design concepts using a fuzzy outranking preference model, Fuzzy Sets Systems, 119: 161-170.

    Article  Google Scholar 

  • Vansnick, J.-C., 1986, On the problem of weights in multiple criteria decision making (the noncompensatory approach), European Journal of Operational Research, 24(2): 288-294.

    Article  MATH  MathSciNet  Google Scholar 

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Bufardi, A., Gheorghe, R., Xirouchakis, P. (2008). Fuzzy Outranking Methods: Recent Developments. In: Kahraman, C. (eds) Fuzzy Multi-Criteria Decision Making. Springer Optimization and Its Applications, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-76813-7_5

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