Aggregation Functions
eBook - PDF

Aggregation Functions

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

About this book

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.

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Yes, you can access Aggregation Functions by Michel Grabisch,Jean-Luc Marichal,Radko Mesiar,Endre Pap in PDF and/or ePUB format, as well as other popular books in Computer Science & Natural Language Processing. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Dedication
  6. Contents
  7. List of figures
  8. List of tables
  9. Preface
  10. 1. Introduction
  11. 2 Properties for aggregation
  12. 3 Conjunctive and disjunctive aggregation functions
  13. 4 Means and averages
  14. 5 Aggregation functions based on nonadditive integrals
  15. 6 Construction methods
  16. 7 Aggregation on specific scale types
  17. 8 Aggregation on ordinal scales
  18. 9 Aggregation on bipolar scales
  19. 10 Behavioral analysis of aggregation functions
  20. 11 Identification of aggregation functions
  21. AppendixA: Aggregation of infinitely many arguments
  22. Appendix B: Examples and applications
  23. List of symbols
  24. References
  25. Index