Non-Classical Logics and their Applications to Fuzzy Subsets A Handb

Non-Classical Logics and their Applications to Fuzzy Subsets is the first major work devoted to a careful study of various relations between non-classical logics and fuzzy sets. This volume is indispensable for all those who are interested in a deeper und

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THEORY AND DECISION LIBRARY General Editors: W. Leinfellner (Vienna) and G. Eberlein (Munich) Series A: Philosophy and Methodology of the Social Sciences 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 B: MATHEMATICAL AND STATISTICAL METHODS VOLUME 32

Editor: H. 1. Skala (Paderborn); Assistant Editor: M. Kraft (Paderborn); Editorial Board: 1. Aczel (Waterloo, Ont.), G. Bamberg (Augsburg), H. Drygas (Kassel), W. Eichhorn

(Karlsruhe), P. Fishburn (Murray Hill, N.J.), D. Fraser (Toronto), W. Janko (Vienna), P. de Jong (Vancouver), T. Kariya (Tokyo), M. Machina (La Jolla, Calif.), A. Rapoport (Toronto), M. Richter (Kaiserslautern), B. K. Sinha (Cattonsville, Md.), D. A. Sprott (Waterloo, Ont.), P. Suppes (Stanford, Calif.), H. Theil (St. Augustine, Fla.), E. Trillas (Madrid), L. A. Zadeh (Berkeley, Calif.).

Scope: The series focuses on the application of methods and ideas of logic, mathematics and statistics to the social sciences. In particular, formal treatment of social phenomena, the analysis of decision making, information theory and problems of inference will be central themes of this part of the library. Besides theoretical results, empirical investigations and the testing of theoretical models of real world problems will be subjects of interest. In addition to emphasizing interdisciplinary communication, the series will seek to support the rapid dissemination of recent results.

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

NON-CLASSICAL LOGICS AND THEIR APPLICATIONS TO FUZZY SUBSETS A Handbook of the Mathematical Foundations of Fuzzy Set Theory

edited by

ULRICH HOHLE Fachbereich Mathematik, Bergische Universităt, Wuppertal, Germany

and

ERICH PETER KLEMENT Institut fUr Mathematik, Johannes Kepler Universităt, Linz, Austria

SPRINGER SCIENCE+BUSINESS MEDIA, B.V.

Library of Congress Cataloging-in-Publication Data Non-classlcal log1cs and thelr appl1catlons to fuzzy subsets : a handbook of the mathematlcal foundatlons of fuzzy set theory I edlted by Ulrlch Hohle and Erlch Peter Klement. cm. -- (Theory and declslon llbrary. Series B. p. Mathematlcal and statlstlcal methods ; v. 32) "Proceedlngs of the 14th Llnz Seminar on Fuzzy Set Theory ... the second week of September 1992 at the Blldungszentrum St. Magdalena (Llnz. Austrla)"--P. 1. Includes blbl10graphlcal references and Index. ISBN 978-94-010-4096-9 ISBN 978-94-011-0215-5 (eBook) DOI 10.1007/978-94-011-0215-5

1. Nonclasslcal mathematlcal 10g1c--Congresses. 2. Fuzzy set theory--Congresses. 1. Hohle. Ulrlch. II. Klement. E. P. (Erlch Peter) III. Serles. QA9.4.N64 1995 511.3--dc20 94-35630 ISBN 978-94-010-4096-9

Printed on acid-free paper

Ali Rights Reserved

© 1995 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1995

Softcover reprint of the hardcover 1st edition 1995 No part of the material protected by this copyright notice ma