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Aggregation Functions: A Guide for Practitioners

By: Beliakov, Gleb [author.].
Contributor(s): Pradera, Ana [author.] | Calvo, Tomasa [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Fuzziness and Soft Computing: 221Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: XX, 361 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540737216.Subject(s): Computer science | Software engineering | Computers | Artificial intelligence | Applied mathematics | Engineering mathematics | Computer Science | Theory of Computation | Appl.Mathematics/Computational Methods of Engineering | Software Engineering | Artificial Intelligence (incl. Robotics)DDC classification: 004.0151 Online resources: Click here to access online
Contents:
Averaging Functions -- Conjunctive and Disjunctive Functions -- Mixed Functions -- Choice and Construction of Aggregation Functions -- Interpolatory Type Aggregation Functions -- Other Types of Aggregation and Additional Properties.
In: Springer eBooksSummary: Aggregation of information is of primary importance in the construction of knowledge based systems in various domains, ranging from medicine, economics, and engineering to decision-making processes, artificial intelligence, robotics, and machine learning. This book gives a broad introduction into the topic of aggregation functions, and provides a concise account of the properties and the main classes of such functions, including classical means, medians, ordered weighted averaging functions, Choquet and Sugeno integrals, triangular norms, conorms and copulas, uninorms, nullnorms, and symmetric sums. It also presents some state-of-the-art techniques, many graphical illustrations and new interpolatory aggregation functions. A particular attention is paid to identification and construction of aggregation functions from application specific requirements and empirical data. This book provides scientists, IT specialists and system architects with a self-contained easy-to-use guide, as well as examples of computer code and a software package. It will facilitate construction of decision support, expert, recommender, control and many other intelligent systems.
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Averaging Functions -- Conjunctive and Disjunctive Functions -- Mixed Functions -- Choice and Construction of Aggregation Functions -- Interpolatory Type Aggregation Functions -- Other Types of Aggregation and Additional Properties.

Aggregation of information is of primary importance in the construction of knowledge based systems in various domains, ranging from medicine, economics, and engineering to decision-making processes, artificial intelligence, robotics, and machine learning. This book gives a broad introduction into the topic of aggregation functions, and provides a concise account of the properties and the main classes of such functions, including classical means, medians, ordered weighted averaging functions, Choquet and Sugeno integrals, triangular norms, conorms and copulas, uninorms, nullnorms, and symmetric sums. It also presents some state-of-the-art techniques, many graphical illustrations and new interpolatory aggregation functions. A particular attention is paid to identification and construction of aggregation functions from application specific requirements and empirical data. This book provides scientists, IT specialists and system architects with a self-contained easy-to-use guide, as well as examples of computer code and a software package. It will facilitate construction of decision support, expert, recommender, control and many other intelligent systems.

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