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Equalities between h-type indices and definitions of rational h-type indicators

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Organization
Abstract
Purpose: To show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions fill some gaps in existing basic knowledge about h-type indices. Design/methodology/approach: The results and introduction of new indicators are based on well-known definitions. Findings: The research purpose has been reached: answers to the first questions are obtained and new indicators are defined. Research limitations: h-type indices do not meet the Bouyssou-Marchant independence requirement. Practical implications: On the one hand, more insight has been obtained for well-known indices such as the h-and the g-index and on the other hand, simple extensions of existing indicators have been added to the bibliometric toolbox. Relative rational h-type indices are more useful for individuals than the existing absolute ones. Originality/value: Answers to basic questions such as "when are the values of two h-type indices equal" are provided. A new rational h-index is introduced.
Keywords
h-index, g-index, Rational h-type indices, Relative rational h-index, Lotkaian framework

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Please use this url to cite or link to this publication:

MLA
Egghe, Leo, et al. “Equalities between H-Type Indices and Definitions of Rational h-Type Indicators.” JOURNAL OF DATA AND INFORMATION SCIENCE, vol. 4, no. 1, 2019, pp. 22–31.
APA
Egghe, L., Fassin, Y., & Rousseau, R. (2019). Equalities between h-type indices and definitions of rational h-type indicators. JOURNAL OF DATA AND INFORMATION SCIENCE, 4(1), 22–31.
Chicago author-date
Egghe, Leo, Yves Fassin, and Ronald Rousseau. 2019. “Equalities between H-Type Indices and Definitions of Rational h-Type Indicators.” JOURNAL OF DATA AND INFORMATION SCIENCE 4 (1): 22–31.
Chicago author-date (all authors)
Egghe, Leo, Yves Fassin, and Ronald Rousseau. 2019. “Equalities between H-Type Indices and Definitions of Rational h-Type Indicators.” JOURNAL OF DATA AND INFORMATION SCIENCE 4 (1): 22–31.
Vancouver
1.
Egghe L, Fassin Y, Rousseau R. Equalities between h-type indices and definitions of rational h-type indicators. JOURNAL OF DATA AND INFORMATION SCIENCE. 2019;4(1):22–31.
IEEE
[1]
L. Egghe, Y. Fassin, and R. Rousseau, “Equalities between h-type indices and definitions of rational h-type indicators,” JOURNAL OF DATA AND INFORMATION SCIENCE, vol. 4, no. 1, pp. 22–31, 2019.
@article{8647754,
  abstract     = {Purpose: To show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions fill some gaps in existing basic knowledge about h-type indices. 

Design/methodology/approach: The results and introduction of new indicators are based on well-known definitions. 

Findings: The research purpose has been reached: answers to the first questions are obtained and new indicators are defined. 

Research limitations: h-type indices do not meet the Bouyssou-Marchant independence requirement.

Practical implications: On the one hand, more insight has been obtained for well-known indices such as the h-and the g-index and on the other hand, simple extensions of existing indicators have been added to the bibliometric toolbox. Relative rational h-type indices are more useful for individuals than the existing absolute ones. 

Originality/value: Answers to basic questions such as "when are the values of two h-type indices equal" are provided. A new rational h-index is introduced.},
  author       = {Egghe, Leo and Fassin, Yves and Rousseau, Ronald},
  issn         = {2096-157X},
  journal      = {JOURNAL OF DATA AND INFORMATION SCIENCE},
  keywords     = {h-index,g-index,Rational h-type indices,Relative rational h-index,Lotkaian framework},
  language     = {eng},
  number       = {1},
  pages        = {22--31},
  title        = {Equalities between h-type indices and definitions of rational h-type indicators},
  url          = {http://dx.doi.org/10.2478/jdis-2019-0002},
  volume       = {4},
  year         = {2019},
}

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