Integration based on fusion functions

Year, pages: 2016, 51 - 66

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.--Koles\'arov\'a, A.--Bustince, G.--Pereira Dimuro, G.--Bedregal, B.: \textit{Fusion functions based discrete Choquet-like integrals,} European J. Oper. Res. {\bf 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.

Horanská, Ľ., Šipošová, A. 2016. Integration based on fusion functions. In Tatra Mountains Mathematical Publications, vol. 66, no.2, pp. 51-66. 1210-3195.

Horanská, Ľ., Šipošová, A. (2016). Integration based on fusion functions. Tatra Mountains Mathematical Publications, 66(2), 51-66. 1210-3195.