Fr. 258.00

Aggregation Functions

English · Hardback

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Informationen zum Autor Michel Grabisch is a Professor of Computer Sciences at Université Paris I, Panthéon-Sorbonne. Jean-Luc Marichal is an Associate Professor in the Mathematics Research Unit at the University of Luxembourg. Radko Mesiar is Chairman of the Department of Mathematics and Descriptive Geometry at the Slovak University of Technology, Bratislava. Endre Pap is a Professor in the Department of Mathematics and Informatics at the University of Novi Sad, Serbia. A rigorous and self-contained exposition of aggregation functions and their properties. Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. This readable book provides a comprehensive, rigorous and self-contained exposition of aggregation functions. It is ideal for graduate students and a unique resource for researchers. Inhaltsverzeichnis Preface; 1. Introduction; 2. Properties for aggregation; 3. Conjunctive and disjunctive aggregation functions; 4. Means and averages; 5. Aggregation functions based on nonadditive integrals; 6. Construction methods; 7. Aggregation on specific scale types; 8. Aggregation on ordinal scales; 9. Aggregation on bipolar scales; 10. Behavioral analysis of aggregation functions; 11. Identification of aggregation functions; A. Aggregation of infinitely many arguments; B. Examples and applications; List of symbols; Bibliography; Index.

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