Rough Sets Theoretical Aspects of Reasoning about Data
To-date computers are supposed to store and exploit knowledge. At least that is one of the aims of research fields such as Artificial Intelligence and Information Systems. However, the problem is to understand what knowledge means, to find ways of represe
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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 I
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 9
Editor: R. Lowen (Antwerp); Editorial Board: G. Feichtinger (Vienna), G. Klir (New York) O. Opitz (Augsburg), H. 1. Skala (Paderborn), M. Sugeno (Yokohama), H. 1. Zimmermann (Aachen). Scope: Design, study and development of structures, organizations and systems aimed at formal applications mainly in the social and human sciences but also relevant to the information sciences. Within these bounds three types of study are of particular interest. First, formal definition and development of fundamental theory and/or methodology, second, computational and/or algorithmic 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: artificial 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 o/this volume.
ROUGHSETS Theoretical Aspects of Reasoning about Data
by
ZDZISLA W PAWLAK
Institute o/Computer Science, Warsaw University o/Technology
SPRINGER SCIENCE+BUSINESS MEDIA, B.V.
Library of Congress Cataloging-in-Publication Data Pawlak. Zdzis~aw. Rough sets : theoretical aspects of reasoning about data / Zdzis~aw Pawlak. cm. -- (Theory and decision library. Series D. System p. theory. knowledge engineering. and problem solving ; v. 9) Includes bibliographical references and index. ISBN 978-94-010-5564-2 ISBN 978-94-011-3534-4 (eBook) DOI 10.1007/978-94-011-3534-4
1. Artificial intelligence. 2. Knowledge representation (Informat ion theory) 3. Set theory. 4. Numerical analysis--Data processing. 1. Title. II. Series.
Q335.P377 1991 006.3--dc20
91-34107
ISBN 978-94-010-5564-2
Printed on acid-free paper
AII Rights Reserved © 1991 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1991 Softcover reprint of the hardcover 1st edition 1991 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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