On a Category of Extensional Fuzzy Rough Approximation L-valued Spaces

We establish extensionality of some upper and lower fuzzy rough approximation operators on an L-valued set. Taking as the ground basic properties of these operators, we introduce the concept of an (extensional) fuzzy rough approximation L-valued space. We

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Communications in Computer and Information Science

611

Information Processing and Management of Uncertainty in Knowledge-Based Systems 16th International Conference, IPMU 2016 Eindhoven, The Netherlands, June 20–24, 2016 Proceedings, Part II

123

Communications in Computer and Information Science

611

Commenced Publication in 2007 Founding and Former Series Editors: Alfredo Cuzzocrea, Dominik Ślęzak, and Xiaokang Yang

Editorial Board Simone Diniz Junqueira Barbosa Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil Phoebe Chen La Trobe University, Melbourne, Australia Xiaoyong Du Renmin University of China, Beijing, China Joaquim Filipe Polytechnic Institute of Setúbal, Setúbal, Portugal Orhun Kara TÜBİTAK BİLGEM and Middle East Technical University, Ankara, Turkey Igor Kotenko St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, St. Petersburg, Russia Ting Liu Harbin Institute of Technology (HIT), Harbin, China Krishna M. Sivalingam Indian Institute of Technology Madras, Chennai, India Takashi Washio Osaka University, Osaka, Japan

More information about this series at http://www.springer.com/series/7899

Joao Paulo Carvalho Marie-Jeanne Lesot Uzay Kaymak Susana Vieira Bernadette Bouchon-Meunier Ronald R. Yager (Eds.) •



Information Processing and Management of Uncertainty in Knowledge-Based Systems 16th International Conference, IPMU 2016 Eindhoven, The Netherlands, June 20–24, 2016 Proceedings, Part II

123

Editors Joao Paulo Carvalho INESC-ID, Instituto Superior Técnico Universidade de Lisboa Lisboa Portugal

Susana Vieira IDMEC, Instituto Superior Técnico Universidade de Lisboa Lisboa Portugal

Marie-Jeanne Lesot LIP6 Université Pierre et Marie Curie Paris France

Bernadette Bouchon-Meunier LIP6 Université Pierre et Marie Curie, CNRS Paris France

Uzay Kaymak School of Industrial Engineering Eindhoven University of Technology Eindhoven The Netherlands

Ronald R. Yager Machine Intelligence Institute Iona College New Rochelle, NY USA

ISSN 1865-0929 ISSN 1865-0937 (electronic) Communications in Computer and Information Science ISBN 978-3-319-40580-3 ISBN 978-3-319-40581-0 (eBook) DOI 10.1007/978-3-319-40581-0 Library of Congress Control Number: 2016941088 © 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