<abstract xmlns="http://www.w3.org/1999/xhtml"><sec id="j_jdis-2019-0002_s_007_w2aab3b7b2b1b6b1aab1c17b1Aa"><h3>Purpose</h3><p>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.</p></sec><sec id="j_jdis-2019-0002_s_008_w2aab3b7b2b1b6b1aab1c17b2Aa"><h3>Design/methodology/approach</h3><p>The results and introduction of new indicators are based on well-known definitions.</p></sec><sec id="j_jdis-2019-0002_s_009_w2aab3b7b2b1b6b1aab1c17b3Aa"><h3>Findings</h3><p>The research purpose has been reached: answers to the first questions are obtained and new indicators are defined.</p></sec><sec id="j_jdis-2019-0002_s_010_w2aab3b7b2b1b6b1aab1c17b4Aa"><h3>Research limitations</h3><p>h-type indices do not meet the Bouyssou-Marchant independence requirement.</p></sec><sec id="j_jdis-2019-0002_s_011_w2aab3b7b2b1b6b1aab1c17b5Aa"><h3>Practical implications</h3><p>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.</p></sec><sec id="j_jdis-2019-0002_s_012_w2aab3b7b2b1b6b1aab1c17b6Aa"><h3>Originality/value</h3><p>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.</p></sec></abstract>

PurposeTo 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/approachThe results and introduction of new indicators are based on well-known definitions.FindingsThe research purpose has been reached: answers to the first questions are obtained and new indicators are defined.Research limitationsh-type indices do not meet the Bouyssou-Marchant independence requirement.Practical implicationsOn 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/valueAnswers to basic questions such as “when are the values of two h-type indices equal” are provided. A new rational h-index is introduced.

Equalities between h-type Indices and Definitions of Rational h-type Indicators

Journal of Data and Information Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Equalities between h-type Indices and Definitions of Rational h-type Indicators"}

PurposeTo show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions...

Equalities between h-type Indices and Definitions of Rational h-type Indicators

Article Category: Research Paper

Published Online: Feb 21, 2019

Page range: 22 - 31

Received: Nov 24, 2018

Accepted: Dec 11, 2018

DOI: https://doi.org/10.2478/jdis-2019-0002

Keywords
h-index, g-index, Rational h-type indices, Relative rational h-index, Lotkaian framework

© 2019 Leo Egghe, Yves Fassin, Ronald Rousseau, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Equalities between h-type Indices and Definitions of Rational h-type Indicators

Article Category: Research Paper

Published Online: Feb 21, 2019

Page range: 22 - 31

Received: Nov 24, 2018

Accepted: Dec 11, 2018

DOI: https://doi.org/10.2478/jdis-2019-0002

Keywordsh-index, g-index, Rational h-type indices, Relative rational h-index, Lotkaian framework

© 2019 Leo Egghe, Yves Fassin, Ronald Rousseau, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
h-index, g-index, Rational h-type indices, Relative rational h-index, Lotkaian framework