Mathematics of Fuzzy Sets and Fuzzy Logic

AvBarnabas Bede

Inbunden, Engelska, 2012

Del 295 i serien Studies in Fuzziness and Soft Computing

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-12-14
Mått:155 x 235 x 21 mm
Vikt:600 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Fuzziness and Soft Computing
Antal sidor:276
Upplaga:2013
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642352201

Utforska kategorier

Systemvetenskap och AI inom Data och IT
Matematikens grunder inom Naturvetenskap och teknik
Artificiell intelligens inom Data och IT

Recensioner i media

From the reviews: "This is a well-written elementary introduction into the basic mathematical topics for fuzzy sets and fuzzy numbers, accessible for undergraduate mathematics and also for engineering students." (Siegfried J. Gottwald, zbMATH, Vol. 1271, 2013)

Innehållsförteckning

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.

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