Mathematics of Fuzzy Sets and Fuzzy Logic (Hardback)
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Short Description for Mathematics of Fuzzy Sets and Fuzzy Logic This mathematically-based introduction to the fascinating topic of Fuzzy Sets and Fuzzy Logic presents a theoretical introduction to Fuzzy Sets based on Mathematical Analysis and Approximation Theory, with well-known applications and advanced topics.
- Published: 14 December 2012
- Format: Hardback 400 pages
- ISBN 13: 9783642352201 ISBN 10: 3642352200
- Sales rank: 918,836
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Full description for 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 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.