Authors:
- Comprehensive introduction into Fuzzy Set Theory, Fuzzy Logic, and some areas of Computational Intelligence that are strongly related to Fuzzy Sets
- The book is intended to cover most of the basic topics in Fuzzy Sets Theory and Fuzzy Logic from a mathematical point of view as well as most of the current applications of the presented theory and can be used as textbook at both undergraduate and graduate levels
- Written by a leading expert in the field
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
About this book
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.
Reviews
From the reviews:
“This is a well-written elementary introduction into the basic mathematical topics for fuzzy sets and fuzzy numbers, accessible for undergraduate mathematics and also for engineering students.” (Siegfried J. Gottwald, zbMATH, Vol. 1271, 2013)Authors and Affiliations
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, Department of Mathematics, DigiPen Institute Of Technology, Redmond, USA
Barnabas Bede
Bibliographic Information
Book Title: Mathematics of Fuzzy Sets and Fuzzy Logic
Authors: Barnabas Bede
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-642-35221-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2013
Hardcover ISBN: 978-3-642-35220-1Published: 14 December 2012
Softcover ISBN: 978-3-642-43302-3Published: 29 January 2015
eBook ISBN: 978-3-642-35221-8Published: 14 December 2012
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XII, 276
Topics: Computational Intelligence, Math Applications in Computer Science, Mathematical Logic and Foundations, Game Theory, Economics, Social and Behav. Sciences