, Volume 88, Issue 1, pp 107–131 | Cite as

Weighted indices for evaluating the quality of research with multiple authorship

  • Ash Mohammad Abbas


Devising an index to measure the quality of research is a challenging task. In this paper, we propose a set of indices to evaluate the quality of research produced by an author. Our indices utilize a policy that assigns the weights to multiple authors of a paper. We have considered two weight assignment policies: positionally weighted and equally weighted. We propose two classes of weighted indices: weighted h-indices and weighted citation h-cuts. Further, we compare our weighted h-indices with the original h-index for a selected set of authors. As opposed to h-index, our weighted h-indices take into account the weighted contributions of individual authors in multi-authored papers, and may serve as an improvement over h-index. The other class of weighted indices that we call weighted citation h-cuts take into account the number of citations that are in excess of those required to compute the index, and may serve as a supplement to h-index or its variants.


Weighted index Multiple authors Citations Quality of publication 


  1. Abbas, A. M. (December 25, 2010). Generalized linear weights for sharing credits among multiple authors. arXiv:1012.5477v1 [cs.DL].Google Scholar
  2. Abbas, A. M. (January 15, 2011). Resequencing: A method for conforming to conventions for sharing credits among multiple authors. arXiv:1101.2985v1 [cs.DL].Google Scholar
  3. Anderson, T. R., Hankin, R. K. S., & Killworth, P. D. (2008). Beyond the Durfee square: Enhancing the h-index to score total publication output. Scientometrics, 76(3), 577–588.CrossRefGoogle Scholar
  4. Baldock, G., Ma, R. M. S., & Orton, C. G. (2009). The h-index is the best measure of a scientists research productivity. Medical Physics, 36(4), 1043–1045.Google Scholar
  5. Ball, P. (2005). Index aims for fair ranking of scientists. Nature, 436(7053), 900.CrossRefGoogle Scholar
  6. Chai, J. C., Hua, P. H., Rousseau, R., & Wan, J. K. (2008). Adaptive pure h-index. In Proceedings of 4th international conference on Webometrics, informetrics and scientometrics (pp. 1–6), June 2008.Google Scholar
  7. Egghe, L. (2006a). An improvement of the h-index: The g-index. ISSI Newsletter, 2(1), 8–9.MathSciNetGoogle Scholar
  8. Egghe, L. (2006b). Theory and practice of the g-index. Scientometrics, 69(1), 131–152.MathSciNetCrossRefGoogle Scholar
  9. Egghe, L. (2008). Mathematical theory of the h and g-index in case of fractional counting of authorship. Journal of the American Society for Information Science and Technology, 59(10), 1608–1616.CrossRefGoogle Scholar
  10. Hagen, N. T. (2008). Harmonic allocation of authorship credit: Source-level correction of bibliometric bias assures accurate publication and citation analysis. PLoS One, 3(12), e4021.CrossRefGoogle Scholar
  11. Hagen, N. T. (2009a). Credit for coauthors. Science, 323(5914), 950.CrossRefGoogle Scholar
  12. Hagen, N. T. (2009b). Harmonic publication and citation counting: Sharing authorship credit equitably—not equally, geometrically or arithmatically. Scientometrics, 84, 785–793.CrossRefGoogle Scholar
  13. Hirsch, J. E. (2005). An index to quantify an individual’s research output. Proceedings of National Academy of Sciences (PNAS), A Journal of National Academy of Sciences, 102(46), 16569–16572.CrossRefGoogle Scholar
  14. Hirsch, J. E. (2007). Does the h-index have predictive power? Proceedings of National Academy of Sciences (PNAS), A Journal of National Academy of Sciences, 104(49), 19193–19198.CrossRefGoogle Scholar
  15. Hirsch, J. E. (2010). An index to quantify an individual’s scientific research output that takes into account the effect of multiple coauthorship. Scientometrics. doi: 10.1007/s11192-010-0193-9.
  16. Hodge, S. E., & Greenberg, D. A. (1981). Publication credits. Science, 213(4511), 950–952.Google Scholar
  17. Katsaros, D., Sidiropoulos, A., & Manolopous, Y. (2007). Age Decaying H-Index for Social Network of Citations. In Proceedings of workshop on Social aspects of the Web, Poznan, Poland, April 27.Google Scholar
  18. Kelly, C. D., & Jennions, M. D. (2006). The h index and career assessment by numbers. Trends in Ecological Evolution, 21(4), 167–170.CrossRefGoogle Scholar
  19. Marchant, T. (2009). An axiomatic characterization of the ranking based on h-index and some other bibliometric rankings of authors. Scientometrics, 80(2), 325–342.CrossRefGoogle Scholar
  20. Microsoft Academic Search (September 2010).
  21. Quesada, A. (2009a). More axiomatics for the Hirsch index. Scientometrics, 82(2), 413–418.CrossRefGoogle Scholar
  22. Quesada, A. (2009b). Monotonicity and the Hirsch index. Elsevier Journal on Informetrics, 3(2), 158–160.Google Scholar
  23. Ruane, F., & Tol, R. S. J. (2008). Rational (successive) h-indices: An application to economics in the Republic of Ireland. Scientometrics, 75(2), 395–405.CrossRefGoogle Scholar
  24. Shreiber, M. (2008a). A modification of the h-index: The h m index accounts for multi-authored manuscripts. Elsevier Journal of Informetrics, 2(3):211–216.Google Scholar
  25. Shreiber, M. (2008b). To share the fame in a fair way, h m modifies the h for multi-authored manuscripts. New Journal of Physics, 10, 040201.CrossRefGoogle Scholar
  26. Sidiropoulos, A., Katsaros, D., & Manolopoulos, Y. (2007). Generalized Hirsch h-index for disclosing latent facts in citation networks. Scientometrics, 72(2), 253–280.CrossRefGoogle Scholar
  27. Solomon, J. (2009). Programmers, professors, and parasites: Credit and co-authorship in computer science. Science and Engineering Ethics, 15, 467–489.CrossRefGoogle Scholar
  28. Trueba, F. J., & Guerrero, H. (2004). A robust formula to credit authors for their publications. Scientometrics, 60(2), 181–204.CrossRefGoogle Scholar
  29. Tscharntke, T., Hochberg, M. E., Rand, T. A., Resh, V. H., & Krauss, J. (2007). Author sequence and credit for contributions in multiauthored publications. PLoS Biol, 5(1), e18. doi: 10.1371/journal.pbio.0050018.CrossRefGoogle Scholar
  30. Wendl, M. (2007). H-index: However ranked, citations need context. Nature, 449(7161), 403.CrossRefGoogle Scholar
  31. Woeginger, G. J. (2008). An axiomatic characterization of the Hirsh index. Elsevier Journal on Mathematical Social Sciences, 56(2), 224–232.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2011

Authors and Affiliations

  1. 1.Department of Computer EngineeringAligarh Muslim UniversityAligarhIndia

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