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Tytuł artykułu

Interactive evolutionary multiobjective optimization driven by robust ordinal regression

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Języki publikacji
EN
Abstrakty
EN
This paper presents the Necessary-preference-enhanced Evolutionary Multiobjective Optimizer (NEMO), which combines an evolutionary multiobjective optimization with robust ordinal regression within an interactive procedure. In the course of NEMO, the decision maker is asked to express preferences by simply comparing some pairs of solutions in the current population. The whole set of additive value functions compatible with this preference information is used within a properly modified version of the evolutionary multiobjective optimization technique NSGA-II in order to focus the search towards solutions satisfying the preferences of the decision maker. This allows to speed up convergence to the most preferred region of the Pareto-front.
Rocznik
Strony
347--358
Opis fizyczny
Bibliogr. 32 poz., rys.
Twórcy
autor
autor
  • Warwick Business School, University of Warwick, UK
Bibliografia
  • [1] C.A. Coello Coello, D.A. Van Veldhuizen, and G.B. Lamont, Evolutionary Algorithms for Solving Multi-Objective Problems, Kluwer, Dordrecht, 2002.
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  • [6] J. Branke, K. Deb, K. Miettinen, and R. Słowiński, Multiobjective Optimization: Interactive and Evolutionary Approaches, Springer, Berlin, 2008.
  • [7] S. Greco, R. Słowiński, J. Figueira, and V. Mousseau, “Robust ordinal regression”, in Trends in Multiple Criteria Decision Analysis, pp. 241–283, ed. M. Ehrgott, J. Figueira, and S. Greco, Springer, Berlin, 2010.
  • [8] S. Greco, V. Mousseau, and R. Słowiński, “Ordinal regression revisited: multiple criteria ranking with a set of additive value functions”, Eur. J. Operational Research 191 (2), 415–435 (2008).
  • [9] J. Figueira, S. Greco, and R. Słowiński, “Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method”, Eur. J. Operational Research 195 (2), 460–486 (2009).
  • [10] K. Deb, S. Agrawal, A. Pratap, and T. Meyarivan, “A fast and elitist multi-objective genetic algorithm”, NSGA-II. IEEE Transactions on Evolutionary Computation 6 (2), 182–197 (2002).
  • [11] J. Branke, S. Greco, R. Słowiński, and P. Zielniewicz, “Interactive evolutionary multiobjective optimization using robust ordinal regression”, in Evolutionary Multi-Criterion Optimization (EMO’09), vol. 5467, pp. 554–568, ed. M. Ehrgott, C.M. Fonseca, X. Gandibleux, J.-K. Hao, M. Sevaux, Springer, Berlin, 2009.
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  • [14] L. Thiele, K. Miettinen, P.J. Korhonen, and J. Molina, “A preference-based interactive evolutionary algorithm for multiobjective optimization”, Evolutionary Computation Journal 17 (3), 411–436 (2009).
  • [15] J. Branke, T. Kaußler, and H. Schmeck, “Guidance in evolutionary multi-objective optimization”, Advances in Engineering Software 32, 499–507 (2001).
  • [16] K. Deb and S. Chaudhuri, “I-MODE: an interactive multiobjective optimization and decision-making using evolutionary methods”, Applied Soft Computing 10, 496–511 (2010).
  • [17] A. Jaszkiewicz and J. Branke, “Interactive multiobjective evolutionary algorithms”, in Multiobjective Optimization – Interactive and Evolutionary Approaches, vol. LNCS 5252, pp. 179–193, ed. J. Branke, K. Deb, K. Miettinen, and R. Słowiński, Springer, Berlin, 2008.
  • [18] J. Branke, “Consideration of partial user preferences in evolutionary multiobjective optimization”, in Multiobjective Optimization – Interactive and Evolutionary Approaches, vol. LNCS 5252, pp. 157–178, ed. J. Branke, K. Deb, K. Miettinen, and R. Słowiński, Springer, Berlin, 2008.
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  • [20] S. Phelps and M. K¨oksalan, “An interactive evolutionary metaheuristic for multiobjective combinatorial optimization”, Management Science 49 (12), 1726–1738 (2003).
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  • [22] B. Roy and D. Bouyssou, Aide Multicrit`ere `a la D´ecision: M´ethodes et Cas, Economica, Paris, 1993.
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  • [27] Y. Siskos, V. Grigoroudis, and N. Matsatsinis, “UTA methods”, in Multiple Criteria Decision Analysis: State-of-the-Art Surveys, pp. 297–343, ed. F. Figueira, S. Greco and M. Ehrgott, Springer, Berlin, 2005.
  • [28] L. Kiss, J.M. Martel, and R. Nadeau, “ELECCALC – an interactive software for modelling the decision maker’s preferences”, Decision Support Systems 12, 757–777 (1994).
  • [29] V. Mousseau and R. Słowiński, “Inferring an ELECTRE TRI model from assignment examples”, J. Global Optimization 12, 157–174 (1998).
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  • [31] J. Figueira, S. Greco, and R. Słowiński, “Identifying the “most representative” value function among all compatible value functions in the GRIP method”, 68th Meeting of the EURO Working Group on MCDA 1, CD-ROM (2008).
  • [32] E. Zitzler, K. Deb, and L. Thiele, “Comparison of multiobjective evolutionary algorithms: empirical results”, Evolutionary Computation Journal 8 (2), 125–148 (2000).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0039-0001
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