Integration Based on Fusion Functions

In this paper, we present an approach to data aggregation based on a generalization of the discrete Choquet integral by means of fusion functions. Inspired by Mesiar, R.-Kolesárová, A.-Bustince, G.-Pereira Dimuro, G.-Bedregal, B.: Fusion functions based discrete Choquet-like integrals, European J. Oper. Res. 252 (2016), 601-609, we merge information contained in capacities m of criteria sets and values of score vectors by a fusion function F instead of the product operator. We give the conditions under which fusion functions F yield well-defined functionals C_F^m and we also discuss properties of these functionals. Some examples for particular capacities m and particular fusion functions F are given.