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H-Index and Other Sugeno Integrals: Some Defects and Their Compensation

Abstract

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 integralsalso on bounded chainsthat 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.


Publication:
IEEE Transactions on Fuzzy Systems
Pub Date:
2016
DOI:

10.1109/TFUZZ.2016.2516579

Bibcode:
2016ITFS...24.1668M
Keywords:
  • Decomposition integrals;
  • h-index;
  • Ky Fan metric;
  • Shilkret integral;
  • Sugeno integral
full text sources
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