Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
With the vision that machines can be rendered smarter, we have witnessed for more than a decade tremendous engineering efforts to implement intelligent sys tems. These attempts involve emulating human reasoning, and researchers have tried to model such r
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THEORY AND DECISION LffiRARY
General Editors: W. Leinfellner (Vienna) and G. Eberlein (Munieh) 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 VOLUME30
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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.
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FUNDAMENTALS OF UNCERTAINTY CALCULI WITH APPLICATIONS TO FUZZY INFERENCE by MICHEL GRABISCH Thomson-CSF-Central Research Laboratory, Orsay, France
and HUNG T. NGUYEN and ELBERT A. WALKER Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico, U.SA
Springer-Science+Business Media, B.V.
Library of Congress Cataloging-in-Publication Data Grabisch, Michel. Fundamentals of uncertainty calculi with applications to fuzzy inference I by Michel Grablsch, Hung T. Nguyen, and Elbert A. Walker. p. cm. -- (Theory and decision library. Series B, Mathematical and statistical methods ; v. 30) Includes bibliographical references and index. 1. Fuzzy sets. 2. Fuzzy systems. 3. Expert systems (Computer 11. Walker, E. (Elbertl, science) I. Nguyen, Hung T., 19441930UI. Title. IV. Series. OA248.G67 1994 94-37360 006.3'3--dc20
ISBN 978-90-481-4477-8 ISBN 978-94-015-8449-4 (eBook) DOI 10.1007/978-94-015-8449-4
Printed on acid-free paper
All 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 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.
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