Aggregation Functions

Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers.

Author: Michel Grabisch, Jean-Luc Marichal, Radko Mesiar
Publisher: Cambridge University Press
Published: 07/09/2009
Pages: 482
Binding Type: Hardcover
Weight: 1.90lbs
Size: 9.30h x 6.00w x 1.40d
ISBN: 9780521519267

Review Citation(s):
Reference and Research Bk News 02/01/2011 pg. 253

About the Author
Marichal, Jean-Luc: - Jean-Luc Marichal is an Associate Professor in the Mathematics Research Unit at the University of Luxembourg.Mesiar, Radko: - Radko Mesiar is Chairman of the Department of Mathematics and Descriptive Geometry at the Slovak University of Technology, Bratislava.Grabisch, Michel: - Michel Grabisch is a Professor of Computer Sciences at Université Paris I, Panthéon-Sorbonne.
Et al...

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