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Handling The Multiplicity of Solutions in a Moea Based Pda-Theseus Framework for Multi-Criteria Sorting

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper proposes the combination of the THESEUS multi-criteria sorting method with an evolutionary optimization-based preference-disaggregation analysis. The main features of the combined method are studied by performing an extensive computer experiment that explores many models of preferences and sizes of problems as well as different degrees of decision-maker involvement. As a result of the experiment, the effectiveness of the combined framework and the importance of the decision-maker’s involvement are characterized.
Rocznik
Strony
213--235
Opis fizyczny
Bibliogr. 24 poz., fig., tab.
Twórcy
autor
  • Autonomous University of Sinaloa, Faculty of Civil Engineering, Blvd. Las Americas, Ciudad Universitaria Culiacan, Sinaloa, Mexico CP. 80040
  • Autonomous University of Sinaloa, Faculty of Computer Science, Josefa Ortiz de Dominguez Ote., Ciudad Universitaria, Culiacan, Sinaloa, CP. 80040, Mexico
autor
  • Autonomous University of Sinaloa, Faculty of Computer Science, Josefa Ortiz de Dominguez Ote., Ciudad Universitaria, Culiacan, Sinaloa, CP. 80040, Mexico
Bibliografia
  • [1] Butler J., Jia J., Dyer J. (1997): Simulation techniques for the sensitivity analysis of multi-criteria decision models, European Journal of Operational Research 103, 3, 531546.
  • [2] Coello C.A., Lamont G.B., Van Veldhuizen D.A. (2007): Evolutionary Algorithms for Solving Multi_Objective Problems, Second Edition. Springer, New York.
  • [3] Corrente S., Doumpos M., Greco, S., Slowinski R., Zopounidis C. (2015): Multiple criteria hierarchy process for sorting problems based on ordinal regression with additive value functions, Annals of Operations Research DOI 10.1007/s10479-0151898-1.
  • [4] Deb K. (2001): Multi-Objective Optimization using Evolutionary Algorithms, John Wiley & Sons, Chichester-New York-Weinheim-Brisbane-Singapore-Toronto.
  • [5] Dias L., Mousseau V., Figueira J., Climaco J. (2002): An aggregation/disaggregation approach to obtain robust conclusions with ELECTRE-TRI, European Journal of Operational Research, 138, 2, 332-348.
  • [6] Doumpos M., Marinakis Y., Marimaki M., Zopounidis C. (2009): An evolutionary approach to construction of outranking models for multi-criteria classification: The case of ELECTRE TRI method, European Journal of Operational Research, 199, 2,496505.
  • [7] Doumpos M., Zopounidis C., Galariotis E. (2014): Inferring robust decision models in multi-criteria classification problems: An experimental analysis, European Journal of Operational Research, 236, 2, 601-611.
  • [8] Fernandez E., Navarro J., Bernal S. (2009): Multi-criteria sorting using a valued indifference relation under a preference disaggregation paradigm, European Journal of Operational Research, 198, 2, 602-609.
  • [9] Fernandez E., Navarro J. (2011): A new approach to multi-criteria sorting problems based on fuzzy outranking relations: The THESEUS method, European Journal of Operational Research, 213, 2, 405-413.
  • [10] Fernandez E., Navarro J., Mazcorro G.(2012): Evolutionary multi-objective optimization for inferring outranking model’s parameters under scarce reference information and effects of reinforced preference, Foundations of Computing and Decision Sciences, 37, 3, 163-197.
  • [11] Fernandez E., Navarro J., Salomon E. (2014): Automatic enhancement of the reference set for multi-criteria sorting in the frame of THESEUS method, Foundations of Computing and Decision Sciences 39, 2, 57-77.
  • [12] Fernandez E., Navarro J., Covantes E., Rodriguez J. (2016): Analysis of the effectiveness of the THESEUS multi-criteria sorting method: theoretical remarks and experimental evidence, TOP, DOI: 10.1007/s11750-016-0433-0.
  • [13] Greco S., Mousseau V., Slowinski R. (2008): Ordinal regression revisited: Multiple criteria ranking with a set of additive value functions, European Journal of Operational Research, 191, 415-435.
  • [14] Jacquet-Lagreze E., Siskos J. (1982): Assessing a set of additive utility functions for multi-criteria decision making: The UTA method, European Journal of Operational Research, 10, 2, 151-164.
  • [15] Köksalan M., Mousseau V., Özpeynirci Ö., Özpeynirci S.B. (2009): A New Outranking-Based Approach for Assigning Alternatives to Ordered Classes, Naval Research Logistics, 56, 1, 74-85.
  • [16] Michalewicz Z. (1996): Genetic Algorithms + Data Structures = Evolution Programs. Springer Verlag, Berlin-Heidelberg-New York.
  • [17] Mousseau V., Slowinski R.(1998): Inferring an ELECTRE-TRI model from assignment examples, Journal of Global Optimization, 12, 2, 157-174.
  • [18] Mousseau V., Dias L.C. (2004): Valued outranking relations in ELECTRE providing manageable disaggregation procedures, European Journal of Operational Research, 156, 2, 467–482.
  • [19] Rocha C., Dias L.C. (2008): An algorithm for ordinal sorting based on ELECTRE with categories defined by examples, Journal of Global Optimization, 42, 2, 255-277.
  • [20] Roy B. (1990): The outranking approach and the foundations of ELECTRE methods, in: Bana e Costa, C.A., (ed.), Reading in Multiple Criteria Decision Aid. Springer Verlag, Berlin, 155-183.
  • [21] Roy B. (1996): Multi-criteria methodology for Decision Aiding. Kluwer Academic Publisher, Dordrecht-Boston-London.
  • [22] Roy B., Slowinski R. (2008): Handling effects of reinforced preference and counter veto in credibility of outranking, European Journal of Operational Research, 188, 1, 185-190.
  • [23] Spyridakos A., Yannacopoulos D. (2015): Incorporating collective functions to multi-criteria disaggregation–aggregation approaches for small group decision making, Annals of Operations Research, 227, 1, 119-136.
  • [24] Vetschera R., Chen Y., Hipel K.W. (2010): Robustness and information levels in case-based multiple criteria sorting, European Journal of Operational Research, 202, 3, 841-852.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-822759ef-7ab5-4b50-9486-d858e0205656
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