Aggregation Functions

Informationen zum Autor Michel Grabisch is a Professor of Computer Sciences at Université Paris I, Panthéon-Sorbonne. 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.

Klappentext
A rigorous and self-contained exposition of aggregation functions and their properties.


Zusammenfassung
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.

Inhalt
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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