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 judgments, 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.

There is no other authored title on this subject that takes a practical view, in addition to presenting the theory The authors of the current title have been the organizers of the main related conference (MDAI, http://www.mdai.info/mdai2006/) for the last 3 years Includes supplementary material: sn.pub/extras

Autorentext

Vicenç Torra is Professor of Artificial Intelligence in the Dept. of Computing Science at Umeå University. He has a PhD in Computer Science / AI from Polytechnical University of Catalonia in 1994. He has held positions at Universitat Rovira i Virgili (Catalonia, Spain), Artificial Intelligence Research Institute - Spanish Council for Scientific Research (IIIA-CSIC), Skövde University (2014-2020, Professorship, Sweden), and Maynooth University (2018-2020, Professorship, Ireland). Additionally, he has undertaken visiting positions at Tsukuba University in Japan, and maintains a longstanding and fruitful collaboration with Japanese researchers. Torra's areas of expertise center on artificial intelligence, with a particular focus on data privacy and approximate reasoning (reasoning under uncertainty, fuzzy sets and systems). He is IEEE and EurAI fellow, and ISI elected member. He has written several books including "Fundamentals of artificial intelligence" (in Catalan, Open University Press, 2007), "Modeling Decisions" (with Y. Narukawa, Springer, 2007), "Scala: from a functional programming perspective" (Springer, 2016), "Guide to data privacy" (Springer, 2022).

Inhalt
Basic Notions.- to Functional Equations.- Synthesis of Judgements.- Fuzzy Measures.- From the Weighted Mean to Fuzzy Integrals.- Indices and Evaluation Methods.- Selection of the Model.