Non-Additive Measures Theory and Applications

This book provides a comprehensive and timely report in the area of non-additive measures and integrals. It is based on a panel session on fuzzy measures, fuzzy integrals and aggregation operators held during the 9th International Conference on Modeling D

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Vicenç Torra Yasuo Narukawa Michio Sugeno Editors

Non-Additive Measures Theory and Applications

Studies in Fuzziness and Soft Computing Volume 310

Series Editors Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected]

For further volumes: http://www.springer.com/series/2941

About this Series The series “Studies in Fuzziness and Soft Computing” contains publications on various topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks, evolutionary computation, probabilistic and evidential reasoning, multi-valued logic, and related fields. The publications within “Studies in Fuzziness and Soft Computing” are primarily monographs and edited volumes. They cover significant recent developments in the field, both of a foundational and applicable character. An important feature of the series is its short publication time and world-wide distribution. This permits a rapid and broad dissemination of research results.

Vicenç Torra · Yasuo Narukawa · Michio Sugeno Editors

Non-Additive Measures Theory and Applications

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Editors Vicenç Torra IIIA-CSIC Bellaterra Catalonia Spain

Michio Sugeno European Centre for Soft Computing Mieres Spain

Yasuo Narukawa Toho Gakuen Kunitachi Tokyo Japan

ISSN 1434-9922 ISBN 978-3-319-03154-5 DOI 10.1007/978-3-319-03155-2

ISSN 1860-0808 (electronic) ISBN 978-3-319-03155-2 (eBook)

Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013951835 c Springer International Publishing Switzerland 2014  This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the