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Vector and Set Optimization

In: Multiple Criteria Decision Analysis

Author

Listed:
  • Gabriele Eichfelder

    (Technische Universität Ilmenau)

  • Johannes Jahn

    (University of Erlangen-Nuremberg)

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.

Suggested Citation

  • Gabriele Eichfelder & Johannes Jahn, 2016. "Vector and Set Optimization," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 695-737, Springer.
    • Handle: RePEc:spr:isochp:978-1-4939-3094-4_17
    DOI: 10.1007/978-1-4939-3094-4_17
    as

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