Horanská, LubomíraBustince Sola, HumbertoFernández Fernández, Francisco JavierMesiar, Radko2021-03-102022-10-0120200020-025510.1016/j.ins.2020.05.081https://academica-e.unavarra.es/handle/2454/39374In this paper we propose two different generalizations of the decomposition integral introduced by Even and Lehrer. We modify the product operator merging a given capacity and the decomposition coefficients by some more general functions F and G and compare properties of the obtained functionals with properties of the original decomposition integral. Generalized decomposition integrals corresponding to the particular decomposition systems, being generalizations of Shilkret, Choquet and concave integrals, are studied and exemplified.19 p.application/pdfeng© 2020 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0Decomposition integralCapacityChoquet integralShilkret integralinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess