2026-04-17T17:46:52.994Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:9269 2023-02-21T13:32:50Z 2

Choquet type integrals for single-valued functions with respect to set-functions and set-multifunctions 2023 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/9269 www.elsevier.com/locate/ins D. Zhang R. Mesiar E. Pap Due to their numerous applications such as in decision-making, information fusion, game theory, and data mining, Choquet integrals have recently attracted much attention. In this study, two generalization types of Choquet integrals are presented. First, a generalized Choquet type integral of a single-valued function is introduced with respect to a set-function and measure. Several of its properties, such as convergence theorems and Jensen’s inequality, are proved. Second, in the spirit of the single-valued Choquet integral, a generalized Choquet type set-valued integral for a single-valued function with respect to a set-multifunction and measure is introduced using Aumann integrals as well as various properties, including convergence theorems. article https://doi.org/10.1016/j.ins.2023.02.038 630 252 270 0020-0255 INFORMATION SCIENCES