Fuzzy Preference Modelling and Multicriteria Decision Support

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THEORY AND DECISION LIBRARY

General Editors: W. Leinfellner (Vienna) and G. Eberlein (Munich) Series A: Philosophy and Methodology of the Soeial Seiences Series B: Mathematical and"Statistical Methods Series C: Game Theory, Mathematical Programming and Operations Research Series D: System Theory, Knowledge Engineering and Problem Solving

SERIES D: SYSTEM THEORY, KNOWLEDGE ENGINEERING AND PROBLEM SOLVING VOLUME 14

Editor: R. Lowen (Antwerp); Editorial Board: G. Feichtinger (Vienna), G. J. Klir (New York) 0. Opitz (Augsburg), H. J. Skala (Paderborn), M. Sugeno (Yokohama), H. J. Zimmermann (Aachen). Scope: Design, study and development of structures, organizations and systems aimed at formal applications mainly in the soeial and human seiences but also relevant to the information seiences. Within these bounds three types of study are of particular interest. First, formal definition and development of fundamental theory andlor methodology, second, computational and/or algorithrnic implementations and third, comprehensive empirical studies, observation or case studies. Although submissions of edited collections will appear occasionally, primarily monographs will be considered for publication in the series. To emphasize the changing nature of the fields of interest we refrain from giving a clear delineation and exhaustive list of topics. However, certainly included are: artifieial intelligence (including machine learning, expert and knowledge based systems approaches), information systems (particularly decision support systems), approximate reasoning (including fuzzy approaches and reasoning under uncertainty), knowledge acquisition and representation, modeling, diagnosis, and control.

The titles published in this series are listed at the end of this volume.

FUZZY PREFERENCE MODELLING AND MULTICRITERIA DECISION SUPPORT by

JANOSFODOR Eötvös Lordnd University, Budapest, Hungary

and MARC ROUBENS University of Liege, Liege, Belgium

SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 978-90-481-4466-2 ISBN 978-94-017-1648-2 (eBook) DOI 10.1007/978-94-017-1648-2

Printedon acid-free paper

All Rights Reserved © 1994 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1994

No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.

Dedicated to Kinga and Andris

In memory of my mother Iren Kereczman-Roubens

Il y a diverses sortes de curiosites : l'une d'interet, qui nous porte a desirer d'apprendre ce qui nous peut etre utile et l'autre d'orgueil, qui vient du desir de savoir ce que les autres ignorent. La Rochefoucauld

Contents Foreword

xiii

Introduction

xv

1 Fuzzy logical connectives 1.1 The neecl offuzzy logics . . . . . . . . . . . . 1.2 Negations . . . . . . . . .