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An Interactive Partitioning Approach For Multiobjective Decision Making Under A General Monotone Utility Function

Author

Listed:
  • ESRA KARASAKAL

    (Industrial Engineering Department, Middle East Technical University, 06800 Ankara, Turkey)

  • MURAT KÖKSALAN

    (Industrial Engineering Department, Middle East Technical University, 06800 Ankara, Turkey)

Abstract

We develop an interactive partitioning approach for solving the multiobjective decision making problem of a decision maker (DM) who has an implicit general monotone utility function. The approach reduces feasible solution space using the DM's preferences. Hypothetical solutions called partition ideals (PIs) that dominate portions of the efficient frontier are generated and those that are inferior to a feasible solution are used to eliminate the dominated regions. We investigate the issues in representation of the reduced feasible solution space. We develop procedures for locating PIs and measuring the size of feasible solution space. We incorporate these ideas into an approach that converges to a neighborhood of the most preferred solution of the DM. We demonstrate the approach on an example problem.

Suggested Citation

  • Esra Karasakal & Murat Köksalan, 2013. "An Interactive Partitioning Approach For Multiobjective Decision Making Under A General Monotone Utility Function," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(05), pages 969-997.
    • Handle: RePEc:wsi:ijitdm:v:12:y:2013:i:05:n:s0219622013400051
    DOI: 10.1142/S0219622013400051
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