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Vector-valued impact measures and generation of specific indexes for research assessment

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A mathematical structure for defining multi-valued bibliometric indices is provided with the aim of measuring the impact of general sources of information others than articles and journals—for example, repositories of datasets. The aim of the model is to use several scalar indices at the same time for giving a measure of the impact of a given source of information, that is, we construct vector valued indices. We use the properties of these vector valued indices in order to give a global answer to the problem of finding the optimal scalar index for measuring a particular aspect of the impact of an information source, depending on the criterion we want to fix for the evaluation of this impact. The main restrictions of our model are (1) it uses finite sets of scalar impact indices (altmetrics), and (2) these indices are assumed to be additive. The optimization procedure for finding the best tool for a fixed criterion is also presented. In particular, we show how to create an impact measure completely adapted to the policy of a specific research institution.

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The authors would like to thank the referees for carefully reading of the manuscript and giving many helpful suggestions.

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Correspondence to E. A. Sánchez-Pérez.

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Calabuig, J.M., Ferrer-Sapena, A. & Sánchez-Pérez, E.A. Vector-valued impact measures and generation of specific indexes for research assessment. Scientometrics 108, 1425–1443 (2016).

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Mathematics Subject Classification