A geometric approach to the construction of scientific impact indices

@article{Gagolewski2008AGA,
  title={A geometric approach to the construction of scientific impact indices},
  author={Marek Gagolewski and Przemyslaw Grzegorzewski},
  journal={Scientometrics},
  year={2008},
  volume={81},
  pages={617-634}
}
Two broad classes of scientific impact indices are proposed and their properties - both theoretical and practical — are discussed. These new classes were obtained as a geometric generalization of the well-known tools applied in scientometric, like Hirsch’s h-index, Woeginger’s w-index and the Kosmulski’s Maxprod. It is shown how to apply the suggested indices for estimation of the shape of the citation function or the total number of citations of an individual. Additionally, a new efficient and… 
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31 Citations
Background Citations
12
Methods Citations
2
Results Citations
1

31 Citations

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Aggregating different paper quality measures with a generalized h-index
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Bibliometric impact assessment with R and the CITAN package
The h index research output measurement: Two approaches to enhance its accuracy
Weighting Factor Mechanism of Uncited Papers to Improve the Fairness of RA-index based on Particle Swarm Optimization
TLDR
Particle swarm optimization (PSO) method is used to optimize the weighting of the uncited papers and the number of citations below the H-index value (lower-h-tail area) and results showed that the RA-Index is fairer than its competitors.
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