Uncertain Fuzzy Preference Relations and Their Applications
On the basis of fuzzy sets and some of their relevant generalizations, this book systematically presents the fundamental principles and applications of group decision making under different scenarios of preference relations. By using intuitionistic knowle
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Zaiwu Gong, Yi Lin, and Tianxiang Yao
Uncertain Fuzzy Preference Relations and Their Applications
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Authors Dr. Zaiwu Gong College of Economics and Management Nanjing University of Information Science and Technology Nanjing PR China
Dr. Tianxiang Yao College of Economics and Management Nanjing University of Information Science and Technology Nanjing PR China
Dr. Yi Lin Department of Mathematics Slippery Rock University USA
ISSN 1434-9922 e-ISSN 1860-0808 ISBN 978-3-642-28447-2 e-ISBN 978-3-642-28448-9 DOI 10.1007/978-3-642-28448-9 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012933080 c Springer-Verlag Berlin Heidelberg 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)
Preface
In any real-life decision making situation, the judgment matrices or preference relations that reflect the experience and the judgment of the experts (or decision makers) represent an effective way to settle problems that seem to be nonstructural and mix both qualitative and quantitative analyses. However, it is difficult for the experts to present precise, consistent judgment, and achieve the optimal decision making because of their limited knowledge, bounded rationality in human
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