Transactions on Rough Sets XXI
The LNCS journal Transactions on Rough Sets is devoted to the entire spectrum of rough sets related issues, from logical and mathematical foundations, through all aspects of rough set theory and its applications, such as data mining, knowledge discovery,
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Transactions on
Rough Sets XXI James F. Peters · Andrzej Skowron Editors-in-Chief
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Lecture Notes in Computer Science Commenced Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis, and Jan van Leeuwen
Editorial Board David Hutchison Lancaster University, Lancaster, UK Takeo Kanade Carnegie Mellon University, Pittsburgh, PA, USA Josef Kittler University of Surrey, Guildford, UK Jon M. Kleinberg Cornell University, Ithaca, NY, USA Friedemann Mattern ETH Zurich, Zurich, Switzerland John C. Mitchell Stanford University, Stanford, CA, USA Moni Naor Weizmann Institute of Science, Rehovot, Israel C. Pandu Rangan Indian Institute of Technology Madras, Chennai, India Bernhard Steffen TU Dortmund University, Dortmund, Germany Demetri Terzopoulos University of California, Los Angeles, CA, USA Doug Tygar University of California, Berkeley, CA, USA
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More information about this series at http://www.springer.com/series/7151
James F. Peters Andrzej Skowron (Eds.) •
Transactions on Rough Sets XXI
123
Editors-in-Chief James F. Peters University of Manitoba Winnipeg, MB, Canada
Andrzej Skowron University of Warsaw Warsaw, Poland
ISSN 0302-9743 ISSN 1611-3349 (electronic) Lecture Notes in Computer Science ISSN 1861-2059 ISSN 1861-2067 (electronic) Transactions on Rough Sets ISBN 978-3-662-58767-6 ISBN 978-3-662-58768-3 (eBook) https://doi.org/10.1007/978-3-662-58768-3 Library of Congress Control Number: 2019930616 © Springer-Verlag GmbH Germany, part of Springer Nature 2019 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer-Verlag GmbH, DE part of Springer Nature The registered company address is: Heidelberger Platz 3, 14197 Berlin, Germany
Preface
Volume XXI of the Transactions on Rough Sets (TRS) is a continuation of a number of research streams that have g
