An axiomatization of the Hirsch-index without adopting monotonicity
Yan-An Hwang · Applied Mathematics & Information Sciences · 2013
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.