Fuzzy Quantifiers A Computational Theory
"Almost all", "many", "some": fuzzy quantifiers are vital for effective communication in natural language (NL). This monograph pursues an axiomatic method to achieve a reliable interpretation of these quantifiers in technical applications of fuzzy quantif
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Studies in Fuzziness and Soft Computing, Volume 193 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. 186. Radim Bˇelohlávek, Vilém Vychodil Fuzzy Equational Logic, 2005 ISBN 3-540-26254-7
Vol. 178. Claude Ghaoui, Mitu Jain, Vivek Bannore, Lakhmi C. Jain (Eds.) Knowledge-Based Virtual Education, 2005 ISBN 3-540-25045-X
Vol. 187. Zhong Li, Wolfgang A. Halang, Guanrong Chen (Eds.) Integration of Fuzzy Logic and Chaos Theory, 2006 ISBN 3-540-26899-5
Vol. 179. Mircea Negoita, Bernd Reusch (Eds.) Real World Applications of Computational Intelligence, 2005 ISBN 3-540-25006-9
Vol. 188. James J. Buckley, Leonard J. Jowers Simulating Continuous Fuzzy Systems, 2006 ISBN 3-540-28455-9
Vol. 180. Wesley Chu, Tsau Young Lin (Eds.) Foundations and Advances in Data Mining, 2005 ISBN 3-540-25057-3 Vol. 181. Nadia Nedjah, Luiza de Macedo Mourelle Fuzzy Systems Engineering, 2005 ISBN 3-540-25322-X Vol. 182. John N. Mordeson, Kiran R. Bhutani, Azriel Rosenfeld Fuzzy Group Theory, 2005 ISBN 3-540-25072-7 Vol. 183. Larry Bull, Tim Kovacs (Eds.) Foundations of Learning Classifier Systems, 2005 ISBN 3-540-25073-5 Vol. 184. Barry G. Silverman, Ashlesha Jain, Ajita Ichalkaranje, Lakhmi C. Jain (Eds.) Intelligent Paradigms for Healthcare Enterprises, 2005 ISBN 3-540-22903-5 Vol. 185. Spiros Sirmakessis (Ed.) Knowledge Mining, 2005 ISBN 3-540-25070-0
Vol. 189. Hans Bandemer Mathematics of Uncertainty, 2006 ISBN 3-540-28457-5 Vol. 190. Ying-ping Chen Extending the Scalability of Linkage Learning Genetic Algorithms, 2006 ISBN 3-540-28459-1 Vol. 191. Martin V. Butz Rule-Based Evolutionary Online Learning Systems, 2006 ISBN 3-540-25379-3 Vol. 192. Jose A. Lozano, Pedro Larrañaga, Iñaki Inza, Endika Bengotxea (Eds.) Towards a New Evolutionary Computation, 2006 ISBN 3-540-29006-0 Vol. 193. Ingo Glöckner Fuzzy Quantifiers: A Computational Theory, 2006 ISBN 3-540-29634-4
Ingo Glöckner
Fuzzy Quantifiers A Computational Theory
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Dr. Ingo Glöckner FernUniversität in Hagen LG Prakt. Inf. VII Informatikzentrum Universitätsstr. 1 58084 Hagen Germany E-mail: [email protected]
Library of Congress Control Number: 2005936355
ISSN print edition: 1434-9922 ISSN electronic edition: 1860-0808 ISBN-10 3-540-29634-4 Springer Berlin Heidelberg New York ISBN-13 978-3-540-29634-8 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 in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution un
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