Fuzziness in Information Systems How to Deal with Crisp and Fuzzy Da
This book is an essential contribution to the description of fuzziness in information systems. Usually users want to retrieve data or summarized information from a database and are interested in classifying it or building rule-based systems on it. But the
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Fuzziness in Information Systems How to Deal with Crisp and Fuzzy Data in Selection, Classification, and Summarization
Fuzziness in Information Systems
Miroslav Hudec
Fuzziness in Information Systems How to Deal with Crisp and Fuzzy Data in Selection, Classification, and Summarization
123
Miroslav Hudec Faculty of Economic Informatics University of Economics in Bratislava Bratislava Slovakia
ISBN 978-3-319-42516-0 DOI 10.1007/978-3-319-42518-4
ISBN 978-3-319-42518-4
(eBook)
Library of Congress Control Number: 2016948117 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
I dedicate this book to Martina. I would like to skip writing reasons, because this part should be shorter than a book chapter.
Foreword
It is a pleasure to write this foreword because this book is an important contribution to the literature on applications of fuzzy models. There are many books dealing with fuzzy sets in a general way but this work is an essential contribution to the description of fuzziness in information systems. Usually in statistical information systems data are stored as numbers which pretend a precision which is not justified, because real data are frequently not available as precise numbers but they are more or less non-precise. This imprecision is different from errors and it is best modelled by the so-called fuzzy numbers, which are special fuzzy subsets of the set of real numbers. To describe fuzziness in quantitative mathematical terms, is an important innovation in science and management. When Karl Menger introduced the generalization of classical sets in the year 1951 by generalizing the indicator function of classical sets, this was a theoretical concept and it took many years until practical applications of these generalized sets came up. An important step was the
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