Monotone measures and universal integrals in a uniform framework for the scientific impact assessment problem

Authors:
Marek Gagolewski;Radko Mesiar
Affiliations:
-;-
Venue:
Information Sciences: an International Journal
Year:
2014

Citing 6
Cited 0

A case study of the modified Hirsch index hm accounting for multiple coauthors

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A universal integral as common frame for choquet and Sugeno integral

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Possibilistic analysis of arity-monotonic aggregation operators and its relation to bibliometric impact assessment of individuals

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The -Index and the Number of Citations: Two Fuzzy Integrals

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Decomposition integrals

International Journal of Approximate Reasoning

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Abstract

The Choquet, Sugeno, and Shilkret integrals with respect to monotone measures, as well as their generalization - the universal integral, stand for a useful tool in decision support systems. In this paper we propose a general construction method for aggregation operators that may be used in assessing output of scientists. We show that the most often currently used indices of bibliometric impact, like Hirsch's h, Woeginger's w, Egghe's g, Kosmulski's MAXPROD, and similar constructions, may be obtained by means of our framework. Moreover, the model easily leads to some new, very interesting functions.