Aggregation Functions: A Guide for Practitioners
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.
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Studies in Fuzziness and Soft Computing, Volume 221 Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected] Further volumes of this series can be found on our homepage: springer.com Vol. 208. Oscar Castillo, Patricia Melin, Janusz Kacprzyk, Witold Pedrycz (Eds.) Hybrid Intelligent Systems, 2007 ISBN 978-3-540-37419-0 Vol. 209. Alexander Mehler, Reinhard Köhler Aspects of Automatic Text Analysis, 2007 ISBN 978-3-540-37520-3 Vol. 210. Mike Nachtegael, Dietrich Van der Weken, Etienne E. Kerre, Wilfried Philips (Eds.) Soft Computing in Image Processing, 2007 ISBN 978-3-540-38232-4 Vol. 211. Alexander Gegov Complexity Management in Fuzzy Systems, 2007 ISBN 978-3-540-38883-8 Vol. 212. Elisabeth Rakus-Andersson Fuzzy and Rough Techniques in Medical Diagnosis and Medication, 2007 ISBN 978-3-540-49707-3 Vol. 213. Peter Lucas, José A. Gámez, Antonio Salmerón (Eds.) Advances in Probabilistic Graphical Models, 2007 ISBN 978-3-540-68994-2 Vol. 214. Irina Georgescu Fuzzy Choice Functions, 2007 ISBN 978-3-540-68997-3
Vol. 215. Paul P. Wang, Da Ruan, Etienne E. Kerre (Eds.) Fuzzy Logic, 2007 ISBN 978-3-540-71257-2 Vol. 216. Rudolf Seising The Fuzzification of Systems, 2007 ISBN 978-3-540-71794-2 Vol. 217. Masoud Nikravesh, Janusz Kacprzyk, Lofti A. Zadeh (Eds.) Forging New Frontiers: Fuzzy Pioneers I, 2007 ISBN 978-3-540-73181-8 Vol. 218. Masoud Nikravesh, Janusz Kacprzyk, Lofti A. Zadeh (Eds.) Forging New Frontiers: Fuzzy Pioneers II, 2007 ISBN 978-3-540-73184-9 Vol. 219. Roland R. Yager, Liping Liu (Eds.) Classic Works of the Dempster-Shafer Theory of Belief Functions, 2007 ISBN 978-3-540-25381-5 Vol. 220. Humberto Bustince, Francisco Herrera, Javier Montero (Eds.) Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, 2007 ISBN 978-3-540-73722-3 Vol. 221. Gleb Beliakov, Tomasa Calvo and Ana Pradera Aggregation Functions: A Guide for Practitioners, 2007 ISBN 978-3-540-73720-9
Gleb Beliakov Ana Pradera Tomasa Calvo
Aggregation Functions: A Guide for Practitioners With 181 Figures and 7 Tables
Dr. Gleb Beliakov
Dr. Ana Pradera
School of Engineering and IT Deakin University 221 Burwood Hwy Burwood 3125 Australia [email protected]
Escuela Superior de Ciencias Experimentales y Tecnología Universidad Rey Juan Carlos. c/ Tulipan s/n 28933 Móstoles, Madrid Spain [email protected]
Professor Tomasa Calvo Escuela Técnica Superior de Ingeniería Informática Universidad de Alcalá Crta de Madrid-Barcelona Km 33, 6 29971Alcalá de Henares, Madrid Spain [email protected]
Library of Congress Control Number: 2007932777
ISSN print edition: 1434-9922 ISSN electronic edition: 1860-0808 ISBN 978-3-540-73720-9 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage
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