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Integration Based on Fusion Functions Cover

Abstract

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 CFm and we also discuss properties of these functionals. Some examples for particular capacities m and particular fusion functions F are given.

DOI: https://doi.org/10.1515/tmmp-2016-0019 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 51 - 66
Submitted on: Jul 15, 2016
Published on: Jan 20, 2017
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Ľubomíra Horanská, Alexandra Šipošová, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.