Linear and Multiobjective Programming with Fuzzy Stochastic Extensions
Although several books or monographs on multiobjective optimization under uncertainty have been published, there seems to be no book which starts with an introductory chapter of linear programming and is designed to incorporate both fuzziness and randomne
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Masatoshi Sakawa Hitoshi Yano Ichiro Nishizaki
Linear and Multiobjective Programming with Fuzzy Stochastic Extensions
International Series in Operations Research & Management Science Volume 203
Series Editor Frederick S. Hillier Stanford University, CA, USA Special Editorial Consultant Camille C. Price Stephen F. Austin State University, TX, USA
For further volumes: http://www.springer.com/series/6161
Masatoshi Sakawa • Hitoshi Yano • Ichiro Nishizaki
Linear and Multiobjective Programming with Fuzzy Stochastic Extensions
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Masatoshi Sakawa Department of System Cybernetics Graduate School of Engineering Hiroshima University Higashi-Hiroshima, Japan
Hitoshi Yano Department of Social Sciences Graduate School of Humanities and Social Sciences Nagoya City University Nagoya, Japan
Ichiro Nishizaki Department of System Cybernetics Graduate School of Engineering Hiroshima University Higashi-Hiroshima, Japan
ISSN 0884-8289 ISSN 2214-7934 (electronic) ISBN 978-1-4614-9398-3 ISBN 978-1-4614-9399-0 (eBook) DOI 10.1007/978-1-4614-9399-0 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013953319 © Springer Science+Business Media New York 2013 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 authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
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Preface
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