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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Bibliographische Detailangaben
1. Verfasser: Bede, Barnabas
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2013.
Schriftenreihe:Studies in Fuzziness and Soft Computing
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Anmerkung: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Mathematics of fuzzy sets and fuzzy logic, Barnabas Bede, Berlin, Springer, 2013, 1 vol. (XII-276 p.), Studies in fuzziness and soft computing, 978-3-642-35220-1
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505 1 |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 Arti cial Neural Networks and Neuro-Fuzzy Systems 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
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.  
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