The Hirsch-index is an index for measuring and comparing the output of researchers. Under the condition of monotonicity, Woeginger  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.
"An axiomatization of the Hirsch-index without adopting monotonicity,"
Applied Mathematics & Information Sciences: Vol. 07:
4, Article 7.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss4/7