New monotone measure-based integrals inspired by scientific impact problem

M Boczek, A Hovana, O Hutník, M Kaluszka - European Journal of …, 2021 - Elsevier
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 …

Sugeno-like operators in preference and uncertain environments

LS Jin, Y Yang, R Mesiar… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Sugeno-like operators are binary operations-based generalization of Sugeno integral and
are still defined on real valued fuzzy measures. This article discusses the aggregation …

Hölder-Minkowski type inequality for generalized Sugeno integral

M Boczek, A Hovana, O Hutnik, M Kaluszka - Fuzzy Sets and Systems, 2020 - Elsevier
We give a necessary and sufficient condition for validity of the Hölder-Minkowski type
inequality for the generalized Sugeno integral, any monotone measure and the class of⋆ …

The smallest semicopula-based universal integrals: remarks and improvements

J Borzová, L Halčinová, O Hutník - Fuzzy Sets and Systems, 2020 - Elsevier
We provide several improvements and corrections of results dealing with the smallest
universal integral IS based on a semicopula S. We deal with a transformation of the integral …

New directions in ordinal evaluation: Sugeno integrals and beyond

M Couceiro, D Dubois, H Fargier, M Grabisch… - New Perspectives in …, 2019 - Springer
This chapter provides a state-of-the-art account of the use of Sugeno integrals in decision
evaluation, when it is difficult to use meaningful figures of merit when assessing the worth of …

On the coincidence of lower and upper generalized Sugeno integrals

TN Luan, TM Thuyet - Fuzzy Sets and Systems, 2023 - Elsevier
We provide the necessary and sufficient conditions for a pair of nondecreasing binary
operators (Δ,∇) on [0, m], for some m∈(0,∞], such that the generalized upper Sugeno …

On - associated comonotone functions

O Hutník, J Pócs - Kybernetika, 2018 - dml.cz
We give a positive answer to two open problems stated by Boczek and Kaluszka in their
paper [1]. The first one deals with an algebraic characterization of comonotonicity. We show …

Qualitative integrals and cointegrals: A survey

A Rico - New Trends in Aggregation Theory 10, 2019 - Springer
Qualitatives integrals and cointegrals are aggregation functions defined on qualitative
scales where only minimum, maximum and order reversing map are allowed. Their …