An axiomatic approach to bibliometric rankings and indices |
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| Institution: | 1. CNRS (LAMSADE, UMR 7243) & Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France;2. Ghent University, Department of Data Analysis, H. Dunantlaan, 1, B-9000 Gent, Belgium;1. REQUIMTE/Departamento de Química e Bioquímica, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal;2. Departamento Engenharia Industrial e Gestão, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal;3. INESC-TEC, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal;1. Department of Information Engineering, The Chinese University of Hong Kong, Hong Kong;2. Advanced Digital Sciences Center, Illinois at Singapore Pte. Ltd., Singapore |
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| Abstract: | This paper analyzes several well-known bibliometric indices using an axiomatic approach. We concentrate on indices aiming at capturing the global impact of a scientific output and do not investigate indices aiming at capturing an average impact. Hence, the indices that we study are designed to evaluate authors or groups of authors but not journals. The bibliometric indices that are studied include classic ones such as the number of highly cited papers as well as more recent ones such as the h-index and the g-index. We give conditions that characterize these indices, up to the multiplication by a positive constant. We also study the bibliometric rankings that are induced by these indices. Hence, we provide a general framework for the comparison of bibliometric rankings and indices. |
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| Keywords: | Bibliometric ranking Bibliometric index Axiomatization |
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