Fuzzy Mathematical Programming Methods and Applications
In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory,artificial intelligence/expert system, etc. In this volume, methods and applications of fuzzy mathematical prog
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Young-Jou Lai Ching-Lai Hwang
Fuzzy Mathematical
Programming Methods and Applications
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Authors Prof. Young-Jou Lai Prof. Ching-Lai Hwang Department of Industrial Engineering Kansas State University Manhattan, KS 66506, USA
ISBN-13: 978-3-540-56098-2 e-ISBN-13: 978-3-642-48753-8 DOl: 10.1007/978-3-642-48753-8 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/editor 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 the rapidly growing fields of operations research, management science, economics, banking/finance, engineering and computer science. This is a sequel of our previous works entitled Multiple Objective Decision Making Methods and Applications, Multiple Attribute Decision Making - Metlwds and Applications, Group Decision Making Under Multiple Criteria - Metlwds and Applications, and Fuzzy Multiple Attribute Decision Making - Methods and Applications (respectively, Nos. 164, 186, 281 and 375
of the Lecture Notes). The literature on methods and applications of fuzzy mathematical programming (FMP) has been systematically and thoroughly reviewed and classified. This state-of-the-art survey provides readers with a capsule look into the existing methods, and their characteristics and applicability to analysis of FMP problems. In the last 25 years, the fuzzy set theory has been applied in many disciplines such as operations research, management science, control theory, artificial intelligence/expert system, etc. The growth of applications of the fuzzy set theory has been accumulating. This study presents systematically the state-of-the-art of fuzzy mathematical programming in both techniques and applications.
In addition to fuzzy mathematical programming, we also present all existing
possibilistic mathematical programming problems, methods and applications, which are among the latest important topics. We will present our material in two volumes: the current volume covers single-objective fuzzy and possibilistic mathematical programming; and the second includes fuzzy multiple objective decision-making and possibilistic multiple objective decision-making problems. To realize practical fuzzy modelling, we present important real-world problems including product
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