An axiomatization of the Hirsch-index without adopting monotonicity

Authors

Yan-An Hwang, Department of Applied Mathematics, National Dong Hwa University, Hualien 974, TaiwanFollow

Author Country (or Countries)

Taiwan

Abstract

The Hirsch-index is an index for measuring and comparing the output of researchers. Under the condition of monotonicity, Woeginger [7] provides a characterization of the Hirsch-index by three axioms in 2008. Replacing monotonicity by expansion consistency, we characterize the Hirsch-index by only two of Woeginger’s axioms. Besides, we also introduce an axiom contraction consistency. It is a dual viewpoint of expansion consistency. Based on contraction consistency, an additional characterization of the Hirsch-index is reported.

Suggested Reviewers

N/A

Recommended Citation

Hwang, Yan-An (2013) "An axiomatization of the Hirsch-index without adopting monotonicity," Applied Mathematics & Information Sciences: Vol. 07: Iss. 4, Article 7.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/7