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Hyper-H-Indices for Multi-Attribute Research Outputs: Characterizations

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  • Stefano Vannucci

Abstract

A multi-attribute research output index assigns a real number to any integer-valued matrix recording the relevant research items and their respective attribute-scores, for any fixed set of m distinct integer-valued attributes. The hyper-h (HH) index assigns to such a multi-attribute research output the maximum number n of output-items having a minimum attribute-score not smaller than n. Thus, HH-indices can also be described by analogy with the h-index as hyper-Durfee numbers, namely as side-sizes of suitable Durfee hypercubes. Two distinct characterizations of HH-indices that generalize well-known characterizations of the h-index are provided. Those characterizations strongly suggest that the standard properties of the h-index can be easily lifted to multi-attribute outputs, provided that distinct attributes are implicitly given an equal 'weight'.

Suggested Citation

  • Stefano Vannucci, 2017. "Hyper-H-Indices for Multi-Attribute Research Outputs: Characterizations," Department of Economics University of Siena 755, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:755
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    References listed on IDEAS

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    1. Quesada, Antonio, 2009. "Monotonicity and the Hirsch index," Journal of Informetrics, Elsevier, vol. 3(2), pages 158-160.
    2. Stefano Vannucci, 2010. "Dominance dimension: a common parametric formulation for integer-valued scientific impact indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(1), pages 43-48, July.
    3. Antonio Quesada, 2011. "Further characterizations of the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(1), pages 107-114, April.
    4. Antonio Quesada, 2010. "More axiomatics for the Hirsch index," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 413-418, February.
    5. Thierry Marchant, 2009. "An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(2), pages 325-342, August.
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    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • Z00 - Other Special Topics - - General - - - General
    • Z19 - Other Special Topics - - Cultural Economics - - - Other

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