An axiomatization of the Hirsch-index without adopting monotonicity
نویسنده
چکیده
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.
منابع مشابه
Monotonicity and the Hirsch index
The Hirsch index is a number that synthesizes a researcher’s output. It is the maximum number h such that the researcher has h papers with at least h citations each. Woeginger [Woeginger, G. J. (2008a). An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences, 56(2), 224–232; Woeginger, G. J. (2008b). A symmetry axiom for scientific impact indices. Journal of Informetrics...
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