Multi-criteria Decision Making Methods: A Comparative Study
Multi-Criteria Decision Making (MCDM) has been one of the fastest growing problem areas in many disciplines. The central problem is how to evaluate a set of alternatives in terms of a number of criteria. Although this problem is very relevant in practice,
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Applied Optimization Volume 44
Series Editors:
Panos M. Pardalos University of Florida, US.A. Donald Hearn University of Florida, US.A.
The titles published in this series are listed at the end of this volume.
Multi-Criteria Decision Making Methods: A Comparative Study by
Evangelos Triantaphyllou Department of Industrial and Manufacturing Systems Engineering, College of Engineering, Louisiana State University, Baton Rouge, Louisiana, US.A.
SPRINGER-SCIENCE+BUSINESS MEDIA B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4419-4838-0 ISBN 978-1-4757-3157-6 (eBook) DOI 10.1007/978-1-4757-3157-6
Printed an acid-free paper
AU Rights Reserved © 2000 Springer Science+Business Media Dordrecht OriginaIly published by Kluwer Academic Publishers in 2000 Softcover reprint of the hardcover 1st edition 2000 No part ot the matenal protecteo by thlS copynght not1ce may be reproouceO or utilized in any fonn or by any means, electronic or mechanical, including photocopying, recording or by any infonnation storage and retrieval system, without written pennission from the copyright owner
This book is gratefully dedicated to all my students; of the past, the present, and the future.
TABLE OF CONTENTS
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1
xiii xix xxiii xxv xxix
1.2
Introduction to Multi-Criteria Decision Making . . . . . . . •• 1 Multi-Criteria Decision Making: A General Overview . . . . . . . . . . . . . . . . . . . . . . 1 Classification of MCDM Methods . . . . . . . . . . . . " 3
2 2.1 2.2 2.2.1 2.2.2 2.2.3 2.2.4 2.2.5 2.2.6
Multi-Criteria Decision Making Methods .••.......... Background Information . . . . . . . . . . . . . . . . . . . Description of Some MCDM Methods . . . . . . . . . . . The WSM Method . . . . . . . . . . . . . . . . . . The WPM Method . . . . . . . . . . . . . . . . . . The AHP Method . . . . . . . . . . . . . . . . . .. The Revised AHP Method . . . . . . . . . . . . . . The ELECTRE Method . . . . . . . . . . . . . . . The TOPSIS Method . . . . . . . . . . . . . . . . .
3
Quantification of Qualitative Data for MCDM Problems . • . . . . . . . . . . . . . . . . . . • . . . . . . . Background Information . . . . . . . . . . . . . . . . . . . . Scales for Quantifying Pairwise Comparisons . . . . . . . Scales Defined on the Interval [9, 1/9] ...... Exponential Scales . . . . . . . . . . . . . . . . . . Some Examples of the Use of Exponential Scales . . . . . . . . . . . . . . . . . . Evaluating Different Scales . . . . . . . . . . . . . . . . . . The Concepts of the RCP and CDP Matrices .. On The Consistency of CDP Matrices ...... Two Evaluative Criteria . . .
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