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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.

Aggregation operators --- Numerical functions. --- Aggregation operators. --- wiskundige functies --- Numerical functions --- Functions, Numerical --- Numerical aggregation operators --- Operator theory

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Mathematical analysis --- Calculus --- Calcul infinitésimal --- Problems, exercises, etc. --- Problèmes et exercices --- Wiskunde --- 517 --- wiskundige functies --- Analysis --- 517 Analysis --- Calcul infinitésimal --- Problèmes et exercices

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Mathematical models --- Mathematical analysis --- lineaire algebra --- wiskundige functies --- Mathematical analysis. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- 517.1 Mathematical analysis --- 517.1. --- 517.1

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Academic collection --- 514.7 --- lineaire algebra --- wiskunde --- wiskundige functies --- Differential geometry. Algebraic and analytic methods in geometry --- Conferences - Meetings --- 514.7 Differential geometry. Algebraic and analytic methods in geometry

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Quantitative methods in social research --- Mathematical statistics --- Biological techniques --- Social sciences --- Biology --- Optimal designs (Statistics) --- Research --- maatschappijwetenschappen, methoden --- regressie-analyse --- wiskundige functies --- Social science research --- Experimental design --- Biological research --- Biomedical research --- Social sciences - Research --- Biology - Research