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This book collects the contributions presented at AGOP 2019, the
10th International Summer School on Aggregation Operators, which
took place in Olomouc (Czech Republic) in July 2019. It includes
contributions on topics ranging from the theory and foundations of
aggregation functions to their various applications. Aggregation
functions have numerous applications, including, but not limited
to, data fusion, statistics, image processing, and decision-making.
They are usually defined as those functions that are monotone with
respect to each input and that satisfy various natural boundary
conditions. In particular settings, these conditions might be
relaxed or otherwise customized according to the user's needs.
Noteworthy classes of aggregation functions include means, t-norms
and t-conorms, uninorms and nullnorms, copulas and fuzzy integrals
(e.g., the Choquet and Sugeno integrals). This book provides a
valuable overview of recent research trends in this area.
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