2026-05-05T01:03:25.128Z http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai

ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai:2:8051 2021-04-11T17:51:21Z 2

Pseudo-integral and generalized Choquet integral 2021 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/8051 https://ezproxy.nb.rs:2055/science/article/pii/S0165011420304711 D. Zhang R. Mesiar E. Pap Due to many applications, the Choquet integral as a powerful tool for modeling non-deterministic problems needs to be further extended. Therefore the paper is devoted to a generalization of the Choquet integral. As a basis, the pseudo-integral for bounded integrand is extended to the case for nonnegative integrands at first, and then the generalized Choquet integral is defined. As special cases, pseudo-Choquet Stieltjes integrals, pseudo-fuzzy Stieltjes integrals, g-Choquet integrals, pseudo-(N)fuzzy integrals and pseudo-(S)fuzzy integrals are obtained, and various kinds of properties and convergence theorems are shown, meanwhile Markov, Jensen, Minkowski and Hölder inequalities are proved. In the end, the generalized discrete Choquet integral is discussed. The obtained results for the generalized Choquet integral cover some previous results on different types of nonadditive integrals. article https://doi.org/10.1016/j.fss.2020.12.005 1 29 0165-0114 FUZZY SETS AND SYSTEMS