Fuzzy Multiple Attribute Decision Making Methods and Applications
This monograph is intended for an advanced undergraduate or graduate course as well as for researchers, who want a compilation of developments in this rapidly growing field of operations research. This is a sequel to our previous works: "Multiple Objectiv
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Shu-Jen Chen Chin-Lai Hwang In Collaboration with Frank P. Hwang
Fuzzy Multiple Attribute Decision Making Methods and Applications
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Authors Shu-Jen Chen HTX International Inc. 115 North 4th Street Manhattan, KS 66502, USA Ching-Lai Hwang Department of Industrial Engineering Kansas State University Manhattan, KS 66506, USA
ISBN-13: 978-3-540-54998-7 e-ISBN-13: 978-3-642-46768-4 DOl: 10.1007/978-3-642-46768-4 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992
Typesetting: Camera ready by author 42/3140-543210 - Printed on acid-free paper
PREFACE
This monograph is intended for an advanced undergraduate or graduate course as well as for researchers, who want a compilation of developments in this rapidly growing field of operations research. This is a sequel to our previous works: "Multiple Objective Decision Making--Methods and Applications: A state-of-the-Art Survey" (No.164 of the Lecture Notes); "Multiple Attribute Decision Making--Methods and Applications: A State-of-the-Art Survey" (No.186 of the Lecture Notes); and "Group Decision Making under Multiple Criteria--Methods and Applications" (No.281 of the Lecture Notes). In this monograph, the literature on methods of fuzzy Multiple Attribute Decision Making (MADM) has been reviewed thoroughly and critically, and classified systematically.
This study provides
readers with a capsule look into the existing methods, their characteristics, and applicability to the analysis of fuzzy MADM problems. The basic concepts and algorithms from the classical MADM methods have been used in the development of the fuzzy MADM methods.
We give
an overview of the classical MADM in Chapter II. Chapter III presents the basic concepts and mathematical operations of fuzzy set theory with simple numerical examples in a easy-to-read and easy-to-follow manner. Fuzzy MADM methods basically consist of two phases:
(1) the
aggregation of the performance scores with respect to all the attributes for each alternative, and (2) the rank ordering of the alternatives according to the aggregated scores. Chapter IV deals with the fuzzy ranking methods.
Fuzzy ranking
methods are concerned with comparing fuzzy numbers and can be applied to all aspects of fuzzy applications.
A systematic classification of
about two dozen existing ranking methods is presented. critically reviewed.
Each method is
The basic concepts, the
