Fuzzy Choice Functions A Revealed Preference Approach

The foundations of revealed preference theory for a competitive consumer were laid by Samuelson in 1938. Later this theory was axiomatically developed by Arrow, Sen, Suzumura and other economists into the theory of choice functions. This book extends the

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Studies in Fuzziness and Soft Computing, Volume 214 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. 198. Hung T. Nguyen, Berlin Wu Fundamentals of Statistics with Fuzzy Data, 2006 ISBN 978-3-540-31695-4 Vol. 199. Zhong Li Fuzzy Chaotic Systems, 2006 ISBN 978-3-540-33220-6 Vol. 200. Kai Michels, Frank Klawonn, Rudolf Kruse, Andreas Nürnberger Fuzzy Control, 2006 ISBN 978-3-540-31765-4 Vol. 201. Cengiz Kahraman (Ed.) Fuzzy Applications in Industrial Engineering, 2006 ISBN 978-3-540-33516-0 Vol. 202. Patrick Doherty, Witold Łukaszewicz, Andrzej Skowron, Andrzej Szałas Knowledge Representation Techniques: A Rough Set Approach, 2006 ISBN 978-3-540-33518-4 Vol. 203. Gloria Bordogna, Giuseppe Psaila (Eds.) Flexible Databases Supporting Imprecision and Uncertainty, 2006 ISBN 978-3-540-33288-6 Vol. 204. Zongmin Ma (Ed.) Soft Computing in Ontologies and Semantic Web, 2006 ISBN 978-3-540-33472-9 Vol. 205. Mika Sato-Ilic, Lakhmi C. Jain Innovations in Fuzzy Clustering, 2006 ISBN 978-3-540-34356-1

Vol. 206. A. Sengupta (Ed.) Chaos, Nonlinearity, Complexity, 2006 ISBN 978-3-540-31756-2 Vol. 207. Isabelle Guyon, Steve Gunn, Masoud Nikravesh, Lotfi A. Zadeh (Eds.) Feature Extraction, 2006 ISBN 978-3-540-35487-1 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

Irina Georgescu

Fuzzy Choice Functions A Revealed Preference Approach

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Dr. Irina Georgescu P.O. Box 1-432 014700 Bucharest, Romania E-mail: [email protected]

Library of Congress Control Number: 2006939263

ISSN print edition: 1434-9922 ISSN electronic edition: 1860-0808 ISBN-10 3-540-68997-4 Springer Berlin Heidelberg New York ISBN-13 978-3-540-68997-3 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,