H-index and other sugeno integrals: Some defects and their compensation

Radko Mesiar , Marek Gągolewski


The famous Hirsch index has been introduced just ca. ten years ago. Despite that, it is already widely used in many decision-making tasks, like in evaluation of individual scientists, research grant allocation, or even production planning. It is known that the h-index is related to the discrete Sugeno integral and the Ky Fan metric introduced in the 1940s. The aim of this paper is to propose a few modifications of this index as well as other fuzzy integrals - also on bounded chains - that lead to better discrimination of some types of data that are to be aggregated. All of the suggested compensation methods try to retain the simplicity of the original measure.

Author Radko Mesiar - [Slovak University of Technology in Bratislava]
Radko Mesiar,,
, Marek Gągolewski (FMIS / DIE)
Marek Gągolewski,,
- Department of Integral Equations
Journal seriesIEEE Transactions on Fuzzy Systems, ISSN 1063-6706
Issue year2016
ASJC Classification2604 Applied Mathematics; 1702 Artificial Intelligence; 1703 Computational Theory and Mathematics; 2207 Control and Systems Engineering
Languageen angielski
Score (nominal)50
Score sourcejournalList
ScoreMinisterial score = 50.0, 26-01-2020, ArticleFromJournal
Ministerial score (2013-2016) = 50.0, 26-01-2020, ArticleFromJournal
Publication indicators Scopus Citations = 10; WoS Citations = 5; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 3.205; WoS Impact Factor: 2016 = 7.671 (2) - 2016=8.29 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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