Studies in Fuzziness and Soft Computing

Mathematics of Fuzzy Sets and Fuzzy Logic

Authors: Bede, Barnabás

  • 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
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eBook $149.00
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  • ISBN 978-3-642-35221-8
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Hardcover $199.00
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  • ISBN 978-3-642-35220-1
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  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
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  • ISBN 978-3-642-43302-3
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  • Usually dispatched within 3 to 5 business days.
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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)

Table of contents (14 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-35221-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-3-642-35220-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-3-642-43302-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of Fuzzy Sets and Fuzzy Logic
Authors
Series Title
Studies in Fuzziness and Soft Computing
Series Volume
295
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-35221-8
DOI
10.1007/978-3-642-35221-8
Hardcover ISBN
978-3-642-35220-1
Softcover ISBN
978-3-642-43302-3
Series ISSN
1434-9922
Edition Number
1
Number of Pages
XII, 276
Topics