Mathematics of fuzzy sets and fuzzy logic / Barnabas Bede.
Series: Publication details: Heidelberg: Springer, 2013.Description: xii, 276 p. : illISBN:- 9783642352201
- 511.322 3 Q3
Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Books | Mahatma Gandhi University Library General Stacks | 511.322 3 Q3 (Browse shelf(Opens below)) | Available | 50949 |
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511.313 Q3 Advances in fuzzy implication functions / | 511.313 Q4 Fuzzy knowledge management for the semantic web/ | 511.322 3 Q3 Soft computing: | 511.322 3 Q3 Mathematics of fuzzy sets and fuzzy logic / | 511.322 3 Q5 Fuzzy sets and fuzzy logic: | 511.33 P9 Introduction to lattices and order/ | 511.35 Q3 Introduction to the theory of computation/ |
Includes bibliographical references and index.
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 -- Appendices.
"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."--P. 4 of cover.
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