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An axiomatic approach to bibliometric rankings and indices

Author

Listed:
  • Thierry Marchant

    (UGENT - Universiteit Gent = Ghent University = Université de Gand)

  • 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)

Abstract
This paper analyzes several well-known bibliometric indices using an axiomatic approach. The bibliometric indices that are studied include classic ones such as the number of highly cited papers as well as more recent ones such as the h-index and the g-index. We give conditions that characterize these indices, up to the multiplication by a positive constant. We also study the bibliometric rankings that are induced by these indices. Hence, we provide a general framework for the comparison of bibliometric rankings and indices.

Suggested Citation

  • Thierry Marchant & Denis Bouyssou, 2014. "An axiomatic approach to bibliometric rankings and indices," Post-Print hal-01509493, HAL.
    • Handle: RePEc:hal:journl:hal-01509493
    DOI: 10.1016/j.joi.2014.03.001
    Note: View the original document on HAL open archive server: https://hal.science/hal-01509493v1
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    7. 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.
    8. Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2016. "An axiomatization of the iterated h-index and applications to sport rankings," Working Papers 2016-11, CRESE.
    9. Brandão, Luana Carneiro & Soares de Mello, João Carlos Correia Baptista, 2019. "A multi-criteria approach to the h-index," European Journal of Operational Research, Elsevier, vol. 276(1), pages 357-363.
    10. Josep Freixas & Roger Hoerl & William S. Zwicker, 2023. "Nash's bargaining problem and the scale-invariant Hirsch citation index," Papers 2309.01192, arXiv.org.
    11. L'aszl'o Csat'o & D'ora Gr'eta Petr'oczy, 2020. "Bibliometric indices as a measure of performance and competitive balance in the knockout stage of the UEFA Champions League," Papers 2005.13416, arXiv.org, revised Sep 2023.
    12. Ana Paula dos Santos Rubem & Ariane Lima Moura & João Carlos Correia Baptista Soares de Mello, 2015. "Comparative analysis of some individual bibliometric indices when applied to groups of researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 1019-1035, January.
    13. Csató, László, 2019. "Journal ranking should depend on the level of aggregation," Journal of Informetrics, Elsevier, vol. 13(4).
    14. Osório, António (António Miguel), 2019. "The value and credits of n-authors publications," Working Papers 2072/376026, Universitat Rovira i Virgili, Department of Economics.
    15. László Csató, 2018. "Characterization of an inconsistency ranking for pairwise comparison matrices," Annals of Operations Research, Springer, vol. 261(1), pages 155-165, February.
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    21. Mark Levene & Trevor Fenner & Judit Bar-Ilan, 2019. "Characterisation of the $$\chi$$χ-index and the rec-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(2), pages 885-896, August.

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