Mathematics of fuzzy sets and fuzzy logic /

Mathematics of fuzzy sets and fuzzy logic /

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Bibliographic Details
Author / Creator:	Bede, Barnabas.
Imprint:	Heidelberg ; New York : Springer, c2013.
Description:	1 online resource.
Language:	English
Series:	Studies in fuzziness and soft computing ; 295 Studies in fuzziness and soft computing ; v. 295.
Subject:	Fuzzy sets. Fuzzy logic. Fuzzy logic. Fuzzy sets.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/9849200

Hidden Bibliographic Details
ISBN:	9783642352218 (electronic bk.) 3642352219 (electronic bk.) 3642352200 9783642352201
Notes:	Includes bibliographical references and index. Description based on print version record.
Summary:	This book presents a mathematically-based introduction into the fascinating topic of Fuzzy Sets and Fuzzy Logic and might be used as textbook at both undergraduate and graduate levels and also as reference guide for mathematician, scientists or engineers who would like to get an insight into Fuzzy Logic. Fuzzy Sets have been introduced by Lotfi Zadeh in 1965 and since then, they have been used in many applications. As a consequence, there is a vast literature on the practical applications of fuzzy sets, while theory has a more modest coverage. The main purpose of the present book is to reduce this gap by providing a theoretical introduction into Fuzzy Sets based on Mathematical Analysis and Approximation Theory. Well-known applications, as for example fuzzy control, are also discussed in this book and placed on new ground, a theoretical foundation. Moreover, a few advanced chapters and several new results are included. These comprise, among others, a new systematic and constructive approach for fuzzy inference systems of Mamdani and Takagi-Sugeno types, that investigates their approximation capability by providing new error estimates.
Other form:	Print version: Bede, Barnabas. Mathematics of fuzzy sets and fuzzy logic. [S.l.] : Springer, 2013 3642352200

Table of Contents:

Fuzzy Sets
Fuzzy Set-Theoretic Operations
Fuzzy Relations
Fuzzy Numbers
Fuzzy Arithmetic
Fuzzy Inference.