Mathematics of Fuzzy Sets and Fuzzy Logic by Barnabas BedeMathematics of Fuzzy Sets and Fuzzy Logic by Barnabas Bede

Mathematics of Fuzzy Sets and Fuzzy Logic

byBarnabas Bede

Paperback | January 29, 2015

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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.

Title:Mathematics of Fuzzy Sets and Fuzzy LogicFormat:PaperbackDimensions:276 pages, 23.5 × 15.5 × 0.17 inPublished:January 29, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3642433022

ISBN - 13:9783642433023

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Table of Contents

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 Arti cial Neural Networks and Neuro-Fuzzy Systems.