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Interactive Nonlinear Multiobjective Optimization Methods

  • Chapter
Multiple Criteria Decision Analysis

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 233))

Abstract

An overview of interactive methods for solving nonlinear multiobjective optimization problems is given. In interactive methods, the decision maker progressively provides preference information so that the her or his most satisfactory Pareto optimal solution can be found. The basic features of several methods are introduced and some theoretical results are provided. In addition, references to modifications and applications as well as to other methods are indicated. As the role of the decision maker is very important in interactive methods, methods presented are classified according to the type of preference information that the decision maker is assumed to provide.

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Authors and Affiliations

  1. Department of Mathematical Information Technology, University of Jyvaskyla, 35 (Agora), FI-40014, University of Jyvaskyla, Finland

    Kaisa Miettinen & Jussi Hakanen

  2. Department of Biological and Environmental Sciences, University of Jyvaskyla, 35 (YA), FI-40014, University of Jyvaskyla, Finland

    Dmitry Podkopaev

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    Salvatore Greco

  2. Department of Management Science, Lancaster University, Lancaster, United Kingdom

    Matthias Ehrgott

  3. Universidade de Lisboa, CEG-IST, Instituto Superior Técnico, Lisboa, Portugal

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Miettinen, K., Hakanen, J., Podkopaev, D. (2016). Interactive Nonlinear Multiobjective Optimization Methods. In: Greco, S., Ehrgott, M., Figueira, J. (eds) Multiple Criteria Decision Analysis. International Series in Operations Research & Management Science, vol 233. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3094-4_22

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