Non-Conventional Preference Relations in Decision Making
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301 J. Kacprzyk M. Roubens (Eds.)
Non-Conventional Preference Relations in Decision Making
Springer-Verlag Berlin Heidelberg GmbH
Editorial Board
H. Albach M. Beckmann (Managing Editor) P.Dhrymes G. Fandel G. Feichtinger J. Green W. Hildenbrand W. Krelle (Managing Editor) H.P. Kunzi K. Ritter R. Sato U. Schittko P. Schonfeld R. Selten Managing Editors Prof. Dr. M. Beckmann Brown University Providence, RI 02912, USA Prof. Dr. W. Krelle Institut fUr Gesellschafts- und Wirtschaftswissenschaften der Universitat Bonn Adenauerallee 24-42, 0-5300 Bonn, FRG Editors
Dr. Janusz Kacprzyk Systems Research Institute, Polish Academy of Science ul. Newelska 6,01-447 Warsaw, Poland Prof. Dr. Marc Roubens Faculte Polytechnique de Mons rue de Houdain, 9, B-7000 Mons, Belgium
ISBN 978-3-642-51711-2 (eBook) ISBN 978-3-540-18954-1 DOI 10.1007/ 978-3-642-51711-2 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 other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid, Violations fall under the prosecution act of the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1988 Originally published by Springer-Verlag, Berlin' Heidelberg in 1988.
PREFACE Bernard ROY Professor, University of Paris-Dauphine Director of LAMSADE 11 is not unusual for a dozen or so loosely related working papers to be published in book form as the natural outgrowth of a scientific gathering. Although many a volume of collected papers has come into point in this way, the homogeneity of the articles included will often be more apparent than real. As the reader will quickly observe, such is not the case with the present volume. As one can judge from its title, 1t is in fact an outcome of an ed~torial project by J. Kacprzyk and M. Roubens. T~ey asked contributing authors to submit recent works which would examine. within a non-traditional theoretical framework, preference analysis and preference modeliing 1n a fuzzy context oriented towards decision aid.
The articles by J.P. Ooignon, B. Monjardet, T. Tanino and Ph. Vincke empnasize the analysis of oreference structures, mainly in the presence of incomparability. Intransitivlty, thresholds and, more generally, inaccurate determination. Considerable attention is devoted to the analysis of efficient and non-dominated (in Pareto's sense of the term) decisions in the four papers presented by S. Ovchinnikov and M. Ozernoy, V.E. Zhukovin, Z. Switalski. and M. Roubens and Ph. Vincke. The theory of social choice and the problems of voting have not been neglected as witnessed in the two papers submitted by M. Fedrizzi and J. Kacprzyk, and H. Nurmi. Finally, the very restrictive nature of the classical axiomatics of preferenc
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