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Some indices violating the basic domination relation

Author

Listed:
  • Qiang Wu

    (University of Science and Technology of China)

  • Peng Zhang

    (University of Science and Technology of China)

Abstract

Ever since the h-index was proposed by Hirsch (Proceedings of the National Academy of Sciences, USA 102(46): 16569–16572, 2005), it has aroused widespread interest in academia. Axiomatic and mathematical interpretations of the h-index and its variants have been widely discussed. This study proposes the following basic domination relation: Assume that scholars X and Y have the same number of papers and these are sorted by the number of citations. If for all i, scholar Y’s ith paper is cited no less than scholar X’s ith paper, then scholar Y cannot be considered inferior to scholar X. We propose that any index which violates the basic domination relation is defective. The a-index, m-index, e-index and q 2-index are demonstrated to violate this relation, implying these four indices should be used with caution.

Suggested Citation

  • Qiang Wu & Peng Zhang, 2017. "Some indices violating the basic domination relation," Scientometrics, Springer;Akadémiai Kiadó, vol. 113(1), pages 495-500, October.
    • Handle: RePEc:spr:scient:v:113:y:2017:i:1:d:10.1007_s11192-017-2475-y
    DOI: 10.1007/s11192-017-2475-y
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    References listed on IDEAS

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    1. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    2. Alison Abbott & David Cyranoski & Nicola Jones & Brendan Maher & Quirin Schiermeier & Richard Van Noorden, 2010. "Metrics: Do metrics matter?," Nature, Nature, vol. 465(7300), pages 860-862, June.
    3. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    4. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    5. Lutz Bornmann & Rüdiger Mutz & Hans‐Dieter Daniel, 2008. "Are there better indices for evaluation purposes than the h index? A comparison of nine different variants of the h index using data from biomedicine," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(5), pages 830-837, March.
    6. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    7. Richard Van Noorden, 2010. "Metrics: A profusion of measures," Nature, Nature, vol. 465(7300), pages 864-866, June.
    8. Lutz Bornmann & Hans‐Dieter Daniel, 2007. "What do we know about the h index?," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(9), pages 1381-1385, July.
    9. Chun-Ting Zhang, 2009. "The e-Index, Complementing the h-Index for Excess Citations," PLOS ONE, Public Library of Science, vol. 4(5), pages 1-4, May.
    10. Rousseau, Ronald, 2008. "Woeginger's axiomatisation of the h-index and its relation to the g-index, the h(2)-index and the R2-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 335-340.
    11. Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    12. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    13. Thierry Marchant, 2009. "An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 325-342, August.
    14. András Schubert, 2007. "Successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 201-205, January.
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    Cited by:

    1. Muhammad Raheel & Samreen Ayaz & Muhammad Tanvir Afzal, 2018. "Evaluation of h-index, its variants and extensions based on publication age & citation intensity in civil engineering," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(3), pages 1107-1127, March.
    2. Marek Gagolewski & Barbara Żogała-Siudem & Grzegorz Siudem & Anna Cena, 2022. "Ockham’s index of citation impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(5), pages 2829-2845, May.
    3. Żogała-Siudem, Barbara & Cena, Anna & Siudem, Grzegorz & Gagolewski, Marek, 2023. "Interpretable reparameterisations of citation models," Journal of Informetrics, Elsevier, vol. 17(1).

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