It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions.
Notations and Abbreviations.- Classical Averaging Functions.- Ordered Weighted Averaging.- Fuzzy Integrals.- Penalty Based Averages.- More Types of Averaging and Construction Methods.- Non-monotone Averages.- Averages on Lattices.