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Vector and Set Optimization

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Multiple Criteria Decision Analysis

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

Abstract

This chapter is devoted to recent developments in vector and set optimization. Based on the concept of a pre-order optimal elements are defined. In vector optimization properties of optimal elements and existence results are gained. Further, an introduction to vector optimization with a variable ordering structure is given. In set optimization basic concepts are summed up.

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Author information

Authors and Affiliations

  1. Institute for Mathematics, Technische Universität Ilmenau, PF 10 05 65, 98684, Ilmenau, Germany

    Gabriele Eichfelder

  2. Department of Mathematics, University of Erlangen-Nuremberg, Cauerstr. 11, 91058, Erlangen, Germany

    Johannes Jahn

Authors
  1. Gabriele Eichfelder
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  2. Johannes Jahn
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Correspondence to Gabriele Eichfelder .

Editor information

Editors and Affiliations

  1. Department of Economics and Business; Portsmouth Business School, Operations & Systems Management, University of Catania; University of Portsmouth, Catania; Portsmouth, Italy

    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

    José Rui Figueira

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Eichfelder, G., Jahn, J. (2016). Vector and Set Optimization. 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_17

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