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An axiomatization of the Hirsch-index without adopting monotonicity |
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PP: 1317-1322 |
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Author(s) |
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Yan-An Hwang,
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Abstract |
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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. |
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