Information Fusion in Data Mining

Information fusion is becoming a major need in data mining and knowledge discovery in databases. This book presents some recent fusion techniques that are currently in use in data mining, as well as data mining applications that use information fusion. Sp

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Springer-Verlag Berlin Heidelberg GmbH

Studies in Fuzziness and Soft Computing, Volume 123 hUp://www.springer.de/cgi-bin/search_book.pl?series=2941 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 Vol. 104. F. Rothlauf Representations for Genetic and Evolutionary Algorithms", 2002 ISBN 3-7908-1496-2 Vol. 105. J. Segovia, P.S. Szczepaniak and M. Niedzwiedzinski (Eds.) E-Commerce and Intelligent Methods, 2002 ISBN 3-7908-1499-7 Vol. 106. P. Matsakis and L.M. Sztandera (Eds.) Applying Soft Computing in Defining Spatial Relations", 2002 ISBN 3-7908-1504-7 Vol. 107. V. Dimitrov and B. Hodge Social Fuzziology, 2002 ISBN 3-7908-1506-3 Vol. 108. L.M. Sztandera and C. Pastore (Eds.) Soft Computing in Textile Sciences, 2003 ISBN 3-7908-1512-8 Vol. 109. R.J. Duro, J. Santos and M. Grana (Eds.) Biologically Inspired Robot Behavior Engineering, 2003 ISBN 3-7908-1513-6 Vol. 110. E. Fink I. 112. Y. Jin Advanced Fuzzy Systems Design and Applications, 2003 ISBN 3-7908-1523-3

Vol. 113. A. Abraham, L.C. Jain and J. Kacprzyk (Eds.)

Recent Advances in Intelligent Paradigms and Applications", 2003 ISBN 3-7908-1538-1 Vol. 114. M. Fitting and E. Orowska (Eds.) Beyond Two: Theory and Applications of Multiple Valued Logic, 2003 ISBN 3-7908-1541-1 Vol. 115. J.J. Buckley Fuzzy Probabilities, 2003 ISBN 3-7908-1542-X Vol. 116. C. Zhou, D. Maravall and D. Ruan (Eds.) Autonomous Robotic Systems, 2003 ISBN 3-7908-1546-2 Vol 117. O. Castillo, P. Melin Soft Computing and Fractal Theory for Intelligent Manufacturing, 2003 ISBN 3-7908-1547-0 Vol. 118. M. Wygralak Cardinalities of Fuzzy Sets, 2003 ISBN 3-540-00337-1 Vol. 119. Karmeshu (Ed.) Entropy Measures, Maximum Entropy Principle and Emerging Applications, 2003 ISBN 3-540-00242-1 Vol. 120. H.M. Cartwright, L.M. Sztandera (Eds.) Soft Computing Approaches in Chemistry, 2003 ISBN 3-540-00245-6

Vol. 111. P.S. Szcepaniak, J. Segovia, J. Kacprzyk and L.A. Zadeh (Eds.) Intelligent Exploration of the Web, 2003 ISBN 3-7908-1529-2

Vol. 121. J. Lee (Ed.) Software Engineering with Computational Intelligence, 2003 ISBN 3-540-00472-6

Vol. 112. Y. Jin Advanced Fuzzy Systems Design and Applications, 2003 ISBN 3-7908-1537-3

Vol. 122. M. Nachtegael, D. Van der Weken, D. Van de Ville and E.E. Xerre (Eds.) Fuzzy Filters for Image Processing, 2003 ISBN 3-540-00465-3

Vicen g(l).

The function 9 is called an additive generator of a t-conorm ..l.

Example 3

tp>.

in Example 1 is the additive generator of Sugeno operator

+>.. Let m be a fuzzy measure on (X, 2X). We say that m is ..l-decomposable if m(A U B) = m(A)..lm(B) whenever An B I- 0 for A, B E 2x. The continuous t-conorms we consider in this chapter are restricted to Archimedean ones or the maximum operator. The first reason is the any non Archimedean continuous t-conorm is represented by Archimedean continuous t-conorms and V. This fact is mentioned by Weber [24]. The second

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