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Aggregating different paper quality measures with a generalized h-index
Authors:Marek Gagolewski  Radko Mesiar
Institution:1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland;2. Faculty of Mathematics and Information Science, Warsaw University of Technology, pl. Politechniki 1, 00-661 Warsaw, Poland;3. Faculty of Civil Engineering, Department of Mathematics, Slovak University of Technology, 81 368 Bratislava, Slovakia;4. Institute for Research and Applications of Fuzzy Modelling, University of Ostrava, 701 03 Ostrava, Czech Republic;1. Department of Mathematics and Informatics, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania;2. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland;3. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland;1. Departamento de Estructura de la Materia, Física Térmica y Electrónica and GISC, Universidad Complutense de Madrid, Plaza de las Ciencias 3, 28040, Madrid, Spain;2. Departamento de Biotecnología-Biología Vegetal, Universidad Politécnica de Madrid, Avenida Puerta de Hierro 2, 28040, Madrid, Spain;1. KHBO (Association KU Leuven), Faculty of Engineering Technology, Zeedijk 101, B-8400 Oostende, Belgium;2. KU Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3000 Leuven (Heverlee), Belgium;3. Universiteit Antwerpen, IBW, Venusstraat 35, B-2000 Antwerpen, Belgium;4. Universidad Carlos III de Madrid, LEMI, Associated Unit IEDCYT-LEMI, C/Madrid 126, Getafe, 28903 Madrid, Spain;1. School of Management, Harbin Institute of Technology, Harbin 150001, China;2. School of Applied Science, Harbin University of Science and Technology, Harbin 150080, China;3. Pamplin College of Business, Virginia Tech, Blacksburg, VA 24061, United States
Abstract:The process of assessing individual authors should rely upon a proper aggregation of reliable and valid papers’ quality metrics. Citations are merely one possible way to measure appreciation of publications. In this study we propose some new, SJR- and SNIP-based indicators, which not only take into account the broadly conceived popularity of a paper (manifested by the number of citations), but also other factors like its potential, or the quality of papers that cite a given publication. We explore the relation and correlation between different metrics and study how they affect the values of a real-valued generalized h-index calculated for 11 prominent scientometricians. We note that the h-index is a very unstable impact function, highly sensitive for applying input elements’ scaling. Our analysis is not only of theoretical significance: data scaling is often performed to normalize citations across disciplines. Uncontrolled application of this operation may lead to unfair and biased (toward some groups) decisions. This puts the validity of authors assessment and ranking using the h-index into question. Obviously, a good impact function to be used in practice should not be as much sensitive to changing input data as the analyzed one.
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