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

© 2019 Leo Egghe, Yves Fassin, Ronald Rousseau, published by Sciendo. 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. The results and introduction of new indicators are based on well-known definitions. The research purpose has been reached: Answers to the first questions are obtained and new indicators are defined. h-type indices do not meet the Bouyssou-Marchant independence requirement. On the one hand, more insight has been obtained for well-known indices such as the h- A nd 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. 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.status: publishe