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A multi-criteria approach to the h-index

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  • Brandão, Luana Carneiro
  • Soares de Mello, João Carlos Correia Baptista

Abstract

The h-index was proposed in 2005, to objectively measure the impact and relevance of individuals' scientific output, based on their number of publications and citations. Since then, many works have studied the index's advantages and limitations, in various contexts and viewpoints. Still, we contribute to such a vast literature, by adopting a multi-criteria perspective to this matter. More precisely, we study the h-index in light of the fundamental axioms of coherence. We show that the number of publications and the number of total citations alone do not compose a coherent criteria family for the h-index, because it does not follow the axiom of exhaustivity. Thus, in this paper, we study examples from the literature to propose a suitable third criterion for the h-index, specifically, the form of the citation distribution among publications, which is less obvious than the other two. We verify that, with all three criteria, the criteria family that forms the h-index becomes coherent.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:276:y:2019:i:1:p:357-363
    DOI: 10.1016/j.ejor.2018.12.033
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    as
    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. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    3. Richard S. J. Tol, 2009. "The h-index and its alternatives: An application to the 100 most prolific economists," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 317-324, August.
    4. Laengle, Sigifredo & Merigó, José M. & Miranda, Jaime & Słowiński, Roman & Bomze, Immanuel & Borgonovo, Emanuele & Dyson, Robert G. & Oliveira, José Fernando & Teunter, Ruud, 2017. "Forty years of the European Journal of Operational Research: A bibliometric overview," European Journal of Operational Research, Elsevier, vol. 262(3), pages 803-816.
    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. Quesada, Antonio, 2009. "Monotonicity and the Hirsch index," Journal of Informetrics, Elsevier, vol. 3(2), pages 158-160.
    7. Miroiu, Adrian, 2013. "Axiomatizing the Hirsch index: Quantity and quality disjoined," Journal of Informetrics, Elsevier, vol. 7(1), pages 10-15.
    8. Bertoli-Barsotti, Lucio & Lando, Tommaso, 2015. "On a formula for the h-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 762-776.
    9. John Panaretos & Chrisovaladis Malesios, 2009. "Assessing scientific research performance and impact with single indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 635-670, December.
    10. Antonis Sidiropoulos & Dimitrios Katsaros & Yannis Manolopoulos, 2007. "Generalized Hirsch h-index for disclosing latent facts in citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(2), pages 253-280, August.
    11. John Antonakis & Rafael Lalive, 2008. "Quantifying Scholarly Impact: IQp Versus the Hirsch h," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(6), pages 956-969, April.
    12. Fabrício Benevenuto & Alberto H. F. Laender & Bruno L. Alves, 2016. "The H-index paradox: your coauthors have a higher H-index than you do," Scientometrics, Springer;Akadémiai Kiadó, vol. 106(1), pages 469-474, January.
    13. Burrell, Quentin L., 2013. "The h-index: A case of the tail wagging the dog?," Journal of Informetrics, Elsevier, vol. 7(4), pages 774-783.
    14. Gangan Prathap, 2014. "The zynergy-index and the formula for the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 65(2), pages 426-427, February.
    15. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    16. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    17. Coccia, Mario, 2008. "Measuring scientific performance of public research units for strategic change," Journal of Informetrics, Elsevier, vol. 2(3), pages 183-194.
    18. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    19. Antonio Quesada, 2011. "Further characterizations of the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(1), pages 107-114, April.
    20. Korhonen, Pekka & Tainio, Risto & Wallenius, Jyrki, 2001. "Value efficiency analysis of academic research," European Journal of Operational Research, Elsevier, vol. 130(1), pages 121-132, April.
    21. Jean-Charles Billaut & Denis Bouyssou & Philippe Vincke, 2010. "Should you believe in the Shanghai ranking?," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 237-263, July.
    22. 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.
    23. Jean-Charles Billaut & Denis Bouyssou & Philippe Vincke, 2010. "Should you believe in the Shanghai ranking?," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 237-263, July.
    24. Franceschini, Fiorenzo & Maisano, Domenico A., 2010. "Analysis of the Hirsch index's operational properties," European Journal of Operational Research, Elsevier, vol. 203(2), pages 494-504, June.
    25. Vladimir G. Deineko & Gerhard J. Woeginger, 2009. "A new family of scientific impact measures: The generalized Kosmulski-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(3), pages 819-826, September.
    26. Ludo Waltman & Nees Jan van Eck, 2012. "The inconsistency of the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(2), pages 406-415, February.
    27. Fiorenzo Franceschini & Maurizio Galetto & Domenico Maisano, 2007. "Management by Measurement," Springer Books, Springer, number 978-3-540-73212-9, November.
    28. 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.
    29. 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.
    30. Quentin L. Burrell, 2007. "Hirsch index or Hirsch rate? Some thoughts arising from Liang’s data," Scientometrics, Springer;Akadémiai Kiadó, vol. 73(1), pages 19-28, October.
    31. Thomas R. Anderson & Robin K. S. Hankin & Peter D. Killworth, 2008. "Beyond the Durfee square: Enhancing the h-index to score total publication output," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(3), pages 577-588, September.
    32. repec:dau:papers:123456789/2947 is not listed on IDEAS
    33. Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    34. 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.
    35. Tibor Braun & Wolfgang Glänzel & András Schubert, 2006. "A Hirsch-type index for journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 169-173, October.
    36. 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.
    37. M Schreiber & C C Malesios & S Psarakis, 2011. "Categorizing h-index variants," Research Evaluation, Oxford University Press, vol. 20(5), pages 397-409, December.
    38. S. Alonso & F. J. Cabrerizo & E. Herrera-Viedma & F. Herrera, 2010. "hg-index: a new index to characterize the scientific output of researchers based on the h- and g-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 391-400, February.
    39. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.
    40. Woeginger, Gerhard J., 2008. "A symmetry axiom for scientific impact indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 298-303.
    41. Schreiber, Michael, 2008. "A modification of the h-index: The hm-index accounts for multi-authored manuscripts," Journal of Informetrics, Elsevier, vol. 2(3), pages 211-216.
    42. Cabrerizo, F.J. & Alonso, S. & Herrera-Viedma, E. & Herrera, F., 2010. "q2-Index: Quantitative and qualitative evaluation based on the number and impact of papers in the Hirsch core," Journal of Informetrics, Elsevier, vol. 4(1), pages 23-28.
    43. Qiang Wu, 2010. "The w‐index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
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