Introduction to the Analytic Hierarchy Process
The Analytic Hierarchy Process (AHP) has been one of the foremost mathematical methods for decision making with multiple criteria and has been widely studied in the operations research literature as well as applied to solve countless real-world problems.
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Matteo Brunelli
Introduction to the Analytic Hierarchy Process
Matteo Brunelli Dept. of Mathematics & Systems Analysis Aalto University Aalto Finland
ISSN 2195-0482 ISSN 2195-0504 (electronic) SpringerBriefs in Operations Research ISBN 978-3-319-12501-5 ISBN 978-3-319-12502-2 (eBook) DOI 10.1007/978-3-319-12502-2 Library of Congress Control Number: 2014954029 Springer Cham Heidelberg New York Dordrecht London c Matteo Brunelli 2015 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 Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Why would anyone feel urged to write another book on the Analytic Hierarchy Process (AHP), given those already written? I felt urged because the existing books on the AHP are conservative, too anchored to the original framework and do not cover recent results, whereas lots of questions have been addressed in the last years. Apparently, the interest in the AHP has not faded in the last years, and we shall see that this view is also supported by other studies, as well as by the years of publication of many of the references used in this booklet. Now, the next question one should ask himself when writing a tutorial should regard to whom the tutorial is for. With the premise that a decision scientist might find these pages too simplistic, in my intentions, the readership should include the following categories. • Practitioners and consultants willing to apply, and software developers willing to implement, the AHP. Some collateral issues, for instance the incompleteness of judgments, are usually neglected in didactic expositions, but remain fundamental in practical implementations. On the software development side, at present, there is still not a modern and free software which covers all the aspects of the AHP presented in this booklet • Recent advances in the theory have been disseminated in different journals and, as research requ
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