On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friend
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Susanne Saminger-Platz Radko Mesiar Editors
On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
Studies in Fuzziness and Soft Computing Volume 336
Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected]
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.
More information about this series at http://www.springer.com/series/2941
Susanne Saminger-Platz Radko Mesiar •
Editors
On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory
123
Editors Susanne Saminger-Platz Department of Knowledge-Based Mathematical Systems Johannes Kepler University Linz Linz Austria
Radko Mesiar Department of Mathematics and Descriptive Geometry Slovak University of Technology Bratislava Slovakia
ISSN 1434-9922 ISSN 1860-0808 (electronic) Studies in Fuzziness and Soft Computing ISBN 978-3-319-28807-9 ISBN 978-3-319-28808-6 (eBook) DOI 10.1007/978-3-319-28808-6 Library of Congress Control Number: 2015960233 © Springer International Publishing Switzerland 2016 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer International Publishing AG Switzerland
Dedicated to Erich Peter Klement
Copyright OÖN/Weihbold
Preface
Erich Peter Klement got interested in fuzzy set theory already in the 1970
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