New monotone measure-based integrals inspired by scientific impact problem

Michał Boczek, Anton Hovana, Ondrej Hutník and Marek Kaluszka

European Journal of Operational Research, 2021, vol. 290, issue 1, 346-357

Abstract: In this paper, we define new functionals generalizing scientometric indices proposed by Mesiar and Gągolewski in 2016 to overcome some limitations of h-index. These functionals are integrals with respect to a monotone measure as well as aggregation functions under some mild conditions. We derive numerous properties of the new integrals and analyze subadditivity property in detail. We also give a partial solution to the problem posed by Mesiar and Stupňanová to find an algorithm for computing the pseudo-decomposition integral of nth order based on operations ⊕=+ and ⊙=∧, which will be useful in multi-criteria decision problems.

Keywords: OR in scientometrics; Multiple criteria analysis; h-index; Aggregation function; Pseudo-decomposition integral (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:290:y:2021:i:1:p:346-357

DOI: 10.1016/j.ejor.2020.07.057

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