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An axiomatic approach to bibliometric rankings and indices

(2014) JOURNAL OF INFORMETRICS. 8(3). p.449-477
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Abstract
This paper analyzes several well-known bibliometric indices using an axiomatic approach. We concentrate on indices aiming at capturing the global impact of a scientific output and do not investigate indices aiming at capturing an average impact. Hence, the indices that we study are designed to evaluate authors or groups of authors but not journals. 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.
Keywords
HIRSCH-INDEX, H-INDEX, EGGHES G-INDEX, SCIENTIFIC IMPACT INDEXES, SCHOLARLY INFLUENCE, INDICATOR, VARIANTS, VALIDATION, FAMILY, OUTPUT, Bibliometric ranking, Bibliometric index, h-Index, g-Index, Axiomatization

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MLA
Bouyssou, Denis, and Thierry Marchant. “An Axiomatic Approach to Bibliometric Rankings and Indices.” JOURNAL OF INFORMETRICS, vol. 8, no. 3, 2014, pp. 449–77, doi:10.1016/j.joi.2014.03.001.
APA
Bouyssou, D., & Marchant, T. (2014). An axiomatic approach to bibliometric rankings and indices. JOURNAL OF INFORMETRICS, 8(3), 449–477. https://doi.org/10.1016/j.joi.2014.03.001
Chicago author-date
Bouyssou, Denis, and Thierry Marchant. 2014. “An Axiomatic Approach to Bibliometric Rankings and Indices.” JOURNAL OF INFORMETRICS 8 (3): 449–77. https://doi.org/10.1016/j.joi.2014.03.001.
Chicago author-date (all authors)
Bouyssou, Denis, and Thierry Marchant. 2014. “An Axiomatic Approach to Bibliometric Rankings and Indices.” JOURNAL OF INFORMETRICS 8 (3): 449–477. doi:10.1016/j.joi.2014.03.001.
Vancouver
1.
Bouyssou D, Marchant T. An axiomatic approach to bibliometric rankings and indices. JOURNAL OF INFORMETRICS. 2014;8(3):449–77.
IEEE
[1]
D. Bouyssou and T. Marchant, “An axiomatic approach to bibliometric rankings and indices,” JOURNAL OF INFORMETRICS, vol. 8, no. 3, pp. 449–477, 2014.
@article{4413742,
  abstract     = {{This paper analyzes several well-known bibliometric indices using an axiomatic approach. We concentrate on indices aiming at capturing the global impact of a scientific output and do not investigate indices aiming at capturing an average impact. Hence, the indices that we study are designed to evaluate authors or groups of authors but not journals. 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.}},
  author       = {{Bouyssou, Denis and Marchant, Thierry}},
  issn         = {{1751-1577}},
  journal      = {{JOURNAL OF INFORMETRICS}},
  keywords     = {{HIRSCH-INDEX,H-INDEX,EGGHES G-INDEX,SCIENTIFIC IMPACT INDEXES,SCHOLARLY INFLUENCE,INDICATOR,VARIANTS,VALIDATION,FAMILY,OUTPUT,Bibliometric ranking,Bibliometric index,h-Index,g-Index,Axiomatization}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{449--477}},
  title        = {{An axiomatic approach to bibliometric rankings and indices}},
  url          = {{http://doi.org/10.1016/j.joi.2014.03.001}},
  volume       = {{8}},
  year         = {{2014}},
}

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