IDEAS home Printed from https://ideas.repec.org/a/eee/infome/v9y2015i4p839-844.html
   My bibliography  Save this article

Further axiomatizations of Egghe's g-index

Author

Listed:
  • Adachi, Tsuyoshi
  • Kongo, Takumi

Abstract

We provide three axiomatic characterizations of Egghe's g-index, which measures a researcher's scientific output based on the number of papers the researcher has published and the number of citations of each of the researcher's papers. We formulate six new axioms for indexes, namely, tail independence (TA), square monotonicity (SM), the cap condition (CC), strong square monotonicity (SSM), increasing marginal citations (IMC), and increasing marginal citations+ (IMC+). Along with the two well-known axioms T1 and T2 (Woeginger, 2008a), the g-index is characterized by (i) T1, T2, TA, SM, and CC, (ii) T1, T2, TA, SSM, and IMC, and (iii) T1, TA, SM, and IMC+. Two out of three characterizations are obtained by adding axioms to our new characterization of the class of indexes satisfying T1, T2, and TA, which are defined as generalizations of the g-index. Thus, the remaining four axioms in our first and second characterizations—SM, CC, SSM, and IMC—distinguish the original g-index from other related indexes in the class. Furthermore, the independence of our axioms and that of Woeginger's study is shown.

Suggested Citation

  • Adachi, Tsuyoshi & Kongo, Takumi, 2015. "Further axiomatizations of Egghe's g-index," Journal of Informetrics, Elsevier, vol. 9(4), pages 839-844.
    • Handle: RePEc:eee:infome:v:9:y:2015:i:4:p:839-844
    DOI: 10.1016/j.joi.2015.07.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1751157715200223
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.joi.2015.07.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Quesada, Antonio, 2009. "Monotonicity and the Hirsch index," Journal of Informetrics, Elsevier, vol. 3(2), pages 158-160.
    2. Kongo, Takumi, 2014. "An alternative axiomatization of the Hirsch index," Journal of Informetrics, Elsevier, vol. 8(1), pages 252-258.
    3. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    4. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    5. Antonio Quesada, 2011. "Further characterizations of the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(1), pages 107-114, April.
    6. Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    7. Woeginger, Gerhard J., 2008. "A symmetry axiom for scientific impact indices," Journal of Informetrics, Elsevier, vol. 2(4), pages 298-303.
    8. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Csató, László, 2019. "Journal ranking should depend on the level of aggregation," Journal of Informetrics, Elsevier, vol. 13(4).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Osório, António (António Miguel), 2019. "The value and credits of n-authors publications," Working Papers 2072/376026, Universitat Rovira i Virgili, Department of Economics.
    2. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    3. 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.
    4. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.
    5. Kongo, Takumi, 2014. "An alternative axiomatization of the Hirsch index," Journal of Informetrics, Elsevier, vol. 8(1), pages 252-258.
    6. Csató, László, 2019. "Journal ranking should depend on the level of aggregation," Journal of Informetrics, Elsevier, vol. 13(4).
    7. Chambers, Christopher P. & Miller, Alan D., 2014. "Scholarly influence," Journal of Economic Theory, Elsevier, vol. 151(C), pages 571-583.
    8. Sylvain Béal & Eric Rémila & Philippe Solal & Sylvain Ferrières, 2016. "An axiomatization of the iterated h-index and applications to sport rankings," Working Papers hal-01394818, HAL.
    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. L'aszl'o Csat'o, 2019. "Journal ranking should depend on the level of aggregation," Papers 1904.06300, arXiv.org, revised Sep 2019.
    11. Gagolewski, Marek, 2013. "Scientific impact assessment cannot be fair," Journal of Informetrics, Elsevier, vol. 7(4), pages 792-802.
    12. Quesada, Antonio, 2011. "Axiomatics for the Hirsch index and the Egghe index," Journal of Informetrics, Elsevier, vol. 5(3), pages 476-480.
    13. Gagolewski, Marek & Mesiar, Radko, 2012. "Aggregating different paper quality measures with a generalized h-index," Journal of Informetrics, Elsevier, vol. 6(4), pages 566-579.
    14. Javier Ruiz-Castillo, 2012. "The evaluation of citation distributions," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 291-310, March.
    15. Antonio Quesada, 2011. "Further characterizations of the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(1), pages 107-114, April.
    16. 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.
    17. Albarrán, Pedro & Ortuño, Ignacio & Ruiz-Castillo, Javier, 2011. "The measurement of low- and high-impact in citation distributions: Technical results," Journal of Informetrics, Elsevier, vol. 5(1), pages 48-63.
    18. Bouyssou, Denis & Marchant, Thierry, 2011. "Bibliometric rankings of journals based on Impact Factors: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 5(1), pages 75-86.
    19. Woeginger, Gerhard J., 2014. "Investigations on the step-based research indices of Chambers and Miller," Journal of Informetrics, Elsevier, vol. 8(3), pages 659-666.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:infome:v:9:y:2015:i:4:p:839-844. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/joi .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.