Mathematics of fuzzy sets and fuzzy logic

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 L...

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Bibliographic Details
Main Author: Bede, Barnabas (Author)
Format: Book
Language:English
Published: Heidelberg : Springer , c2013
Series:Studies in fuzziness and soft computing 295
Subjects:

MARC

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020 |a 3642352219 (e-book) 
020 |a 9783642352201 (hardback : alk. paper) 
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100 1 |a Bede, Barnabas ,   |e author 
245 1 0 |a Mathematics of fuzzy sets and fuzzy logic   |c Barnabas Bede 
260 |a Heidelberg :   |b Springer ,   |c c2013 
300 |a xii, 276 p. :   |b ill. ;   |c 24 cm. 
490 1 |a Studies in fuzziness and soft computing   |v 295 
504 |a Includes bibliographical references (p. [259]-266) and index 
505 0 |a 1. Fuzzy sets -- 2. Fuzzy set-theoretic operations -- 3. Fuzzy relations -- 4. Fuzzy numbers -- 5. Fuzzy Arithmetic -- 6. Fuzzy inference -- 7. Single input single output fuzzy systems -- 8. Fuzzy analysis -- 9. Fuzzy differential equations -- 10. Extensions of fuzzy set theory -- 11. Possibility theory -- 12. Fuzzy clustering -- 13. Fuzzy transform -- 14. Artificial neural networks and neuro-fuzzy systems 
520 |a 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. 
650 0 |a Fuzzy logic 
650 0 |a Fuzzy sets 
999 |a 1000159040   |b Book   |c OPEN SHELF (30 DAYS)   |e Tembila Campus