New monotone measure-based integrals inspired by scientific impact problem
Functional Analysis
2020-03-17 v1
Abstract
In this paper, we define new functionals generalizing scientometric indices proposed by Mesiar and G\k{a}golewski 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 Stup\v{n}anov\'a to find an algorithm for computing the pseudo-decomposition integral of n-th order based on operations and which will be useful in multi-criteria decision problems.
Cite
@article{arxiv.2003.06840,
title = {New monotone measure-based integrals inspired by scientific impact problem},
author = {Michał Boczek and Anton Hovana and Ondrej Hutník and Marek Kaluszka},
journal= {arXiv preprint arXiv:2003.06840},
year = {2020}
}