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Bi-oriented graphs and four valued logic for preference modelling

Author

Listed:
  • Ouahiba Bessouf

    (USTHB)

  • Abdelkader Khelladi

    (USTHB)

  • Meltem Öztürk

    (CNRS, PSL Research University, Université Paris Dauphine, LAMSADE)

  • Alexis Tsoukiàs

    (CNRS, PSL Research University, Université Paris Dauphine, LAMSADE)

Abstract

In this paper we show the relations between 4-valued logics (and more precisely the DDT logic) and the use of bi-oriented graphs. Further on we focus on the use of bi-oriented graphs for non conventional preference modelling. More specifically, we show how bi-oriented graphs can be used in order to represent extended preference structures of the type definable using the DDT logic which has been created with the purpose of modelling hesitation in preference statements. We then study how transitive closure can be extended within such extended preference structures.

Suggested Citation

  • Ouahiba Bessouf & Abdelkader Khelladi & Meltem Öztürk & Alexis Tsoukiàs, 2023. "Bi-oriented graphs and four valued logic for preference modelling," Annals of Operations Research, Springer, vol. 328(2), pages 1239-1262, September.
    • Handle: RePEc:spr:annopr:v:328:y:2023:i:2:d:10.1007_s10479-023-05371-w
    DOI: 10.1007/s10479-023-05371-w
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    References listed on IDEAS

    as
    1. Stefano Moretti & Meltem Öztürk & Alexis Tsoukiàs, 2016. "Preference Modelling," 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 43-95, Springer.
    2. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    3. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    4. Meltem Öztürké & Alexis Tsoukiàs & Philippe Vincke, 2005. "Preference Modelling," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 27-59, Springer.
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