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