{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T17:56:34Z","timestamp":1772387794317,"version":"3.50.1"},"reference-count":16,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T00:00:00Z","timestamp":1548979200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,2,21]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:sec id=\"j_jdis-2019-0002_s_007_w2aab3b7b2b1b6b1aab1c17b1Aa\">\n                    <jats:title id=\"d4944091e12803_w2aab3b7b2b1b6b1aab1c17b1aAa\">Purpose<\/jats:title>\n                    <jats:p>To show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions fill some gaps in existing basic knowledge about h-type indices.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"j_jdis-2019-0002_s_008_w2aab3b7b2b1b6b1aab1c17b2Aa\">\n                    <jats:title id=\"d4944091e12810_w2aab3b7b2b1b6b1aab1c17b2aAa\">Design\/methodology\/approach<\/jats:title>\n                    <jats:p>The results and introduction of new indicators are based on well-known definitions.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"j_jdis-2019-0002_s_009_w2aab3b7b2b1b6b1aab1c17b3Aa\">\n                    <jats:title id=\"d4944091e12817_w2aab3b7b2b1b6b1aab1c17b3aAa\">Findings<\/jats:title>\n                    <jats:p>The research purpose has been reached: answers to the first questions are obtained and new indicators are defined.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"j_jdis-2019-0002_s_010_w2aab3b7b2b1b6b1aab1c17b4Aa\">\n                    <jats:title id=\"d4944091e12824_w2aab3b7b2b1b6b1aab1c17b4aAa\">Research limitations<\/jats:title>\n                    <jats:p>h-type indices do not meet the Bouyssou-Marchant independence requirement.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"j_jdis-2019-0002_s_011_w2aab3b7b2b1b6b1aab1c17b5Aa\">\n                    <jats:title id=\"d4944091e12832_w2aab3b7b2b1b6b1aab1c17b5aAa\">Practical implications<\/jats:title>\n                    <jats:p>On the one hand, more insight has been obtained for well-known indices such as the h- and the g-index and on the other hand, simple extensions of existing indicators have been added to the bibliometric toolbox. Relative rational h-type indices are more useful for individuals than the existing absolute ones.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec id=\"j_jdis-2019-0002_s_012_w2aab3b7b2b1b6b1aab1c17b6Aa\">\n                    <jats:title id=\"d4944091e12839_w2aab3b7b2b1b6b1aab1c17b6aAa\">Originality\/value<\/jats:title>\n                    <jats:p>Answers to basic questions such as \u201cwhen are the values of two h-type indices equal\u201d are provided. A new rational h-index is introduced.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.2478\/jdis-2019-0002","type":"journal-article","created":{"date-parts":[[2019,3,1]],"date-time":"2019-03-01T04:30:27Z","timestamp":1551414627000},"page":"22-31","source":"Crossref","is-referenced-by-count":1,"title":["Equalities between h-type Indices and Definitions of Rational h-type Indicators"],"prefix":"10.2478","volume":"4","author":[{"given":"Leo","family":"Egghe","sequence":"first","affiliation":[{"name":"University of Hasselt , Hasselt , Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yves","family":"Fassin","sequence":"additional","affiliation":[{"name":"Department of Marketing, Innovation and Organisation, Faculty of Economics and Business Administration, Ghent University , Tweekerkenstraat, 2, 9000 Gent , Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ronald","family":"Rousseau","sequence":"additional","affiliation":[{"name":"University of Antwerp, Faculty of Social Sciences , Middelheimlaan 1, 2020 , Antwerpen , Belgium"},{"name":"KU Leuven, Facultair Onderzoekscentrum ECOOM , Naamsestraat 61, 3000 Leuven , Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2019,2,21]]},"reference":[{"key":"2026030117133921015_j_jdis-2019-0002_ref_001_w2aab3b7b2b1b6b1ab1b8b1Aa","unstructured":"Bornmann, L., Hug, S., & Marewski, J.N. (2018). Bibliometrics-based heuristics: What is their definition and how can they be studied? arXiv:1810.13005"},{"key":"2026030117133921015_j_jdis-2019-0002_ref_002_w2aab3b7b2b1b6b1ab1b8b2Aa","doi-asserted-by":"crossref","unstructured":"Bouyssou, D., & Marchant, T. (2011). Ranking scientists and departments in a consistent manner. Journal of the American Society for Information Science and Technology, 62(9), 1761\u20131769.","DOI":"10.1002\/asi.21544"},{"key":"2026030117133921015_j_jdis-2019-0002_ref_003_w2aab3b7b2b1b6b1ab1b8b3Aa","doi-asserted-by":"crossref","unstructured":"Deineko, V.G., & Woeginger, G.J. (2009). A new family of scientific impact measures: The generalized Kosmulski-indices. Scientometrics, 80(3), 821\u2013828.","DOI":"10.1007\/s11192-009-2130-0"},{"key":"2026030117133921015_j_jdis-2019-0002_ref_004_w2aab3b7b2b1b6b1ab1b8b4Aa","doi-asserted-by":"crossref","unstructured":"Egghe, L. (2005). Power laws in the Information Production Process: Lotkaian Informetrics. 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