Monotonicity and the Hirsch index |
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Authors: | Antonio Quesada |
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Institution: | 1. Centre for Computational Intelligence, De Montfort University, Leicester, UK;2. Intelligent Software Systems Laboratory, Iwate Prefectural University, Takizawa, Iwate, Japan |
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Abstract: | 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, 2(3), 298–303] characterizes the Hirsch index when indices are assumed to be integer-valued. In this note, the Hirsch index is characterized, when indices are allowed to be real-valued, by adding to Woeginger's monotonicity two axioms in a way related to the concept of monotonicity. |
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