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Modeling Decisions:
Information Fusion and Aggregation Operators
Vicenç Torra, Yasuo Narukawa
Springer, 2007, Approx. 300 p. (ISBN: 978-3-540-68789-4).

Catalan translation from UAB University Press
V. Torra, Y. Narukawa (2007) Modelització de decisions: fusió d'informació i operadors d'agregació. Edicions UAB, ISBN: 978-84-490-2529-7.

The book
This book covers the underlying science and application issues related to aggregation operators, focusing on tools used in practical applications that involve numerical information. Starting with detailed introductions to information fusion and integration, measurement and probability theory, fuzzy sets, and functional equations, the authors then cover the following topics in detail: synthesis of judgements, fuzzy measures, weighted means and fuzzy integrals, indices and evaluation methods, model selection, and parameter extraction. The methods are illustrated with representative examples throughout, and there are extensive bibliographies and reading suggestions.
The book contains the following chapters: 1. Introduction, 2. Basic Notions, 3. Introduction to Functional Equations, 4. Synthesis of Judgements, 5. Fuzzy Measures, 6. From the Weighted Mean to Fuzzy Integrals, 7. Indices and Evaluation Methods, 8. Model Selection; Appendices: A. Properties, B. Some Aggregation Operators

Slides Click here
Definitions A few definitions of aggregation operators. Click here
  • Software for the OWA and WOWA operators can be found here
  • Implementations for some aggregation operators, as well as some examples of Chapter 8 using R (R project) can be found here

Flyer A flyer of the book (by 05/Jan/2007) can be found here


Vicenç Torra

Modeling Decisions for Artificial Intelligence

Last modified: 23 : 22 December 03 2014.