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The β -ranking and the β -measure for directed networks: Axiomatic characterizations

Author

Listed:
  • Denis Bouyssou

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Marchant Thierry

    (UGENT - Universiteit Gent = Ghent University)

Abstract

The β-measure has been introduced and characterized by van den Brink and Gilles (2000) for measuring the domination in directed networks. The present paper characterizes the ranking induced by the β-measure. It also provides an alternative characterization of the β-measure.

Suggested Citation

  • Denis Bouyssou & Marchant Thierry, 2018. "The β -ranking and the β -measure for directed networks: Axiomatic characterizations," Post-Print hal-02096392, HAL.
    • Handle: RePEc:hal:journl:hal-02096392
    DOI: 10.1016/j.socnet.2017.06.005
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    Cited by:

    1. van den Brink, René & Rusinowska, Agnieszka, 2022. "The degree measure as utility function over positions in graphs and digraphs," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1033-1044.
    2. Brink, René van den & Rusinowska, Agnieszka, 2021. "The degree ratio ranking method for directed graphs," European Journal of Operational Research, Elsevier, vol. 288(2), pages 563-575.

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