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Mathematics of Fuzzy Sets and Fuzzy Logic: Studies in Fuzziness and Soft Computing, cartea 295

Autor Barnabas Bede
en Limba Engleză Paperback – 29 ian 2015
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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Specificații

ISBN-13: 9783642433023
ISBN-10: 3642433022
Pagini: 288
Ilustrații: XII, 276 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Studies in Fuzziness and Soft Computing

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.
 

Caracteristici

Comprehensive introduction into Fuzzy Set Theory, Fuzzy Logic, and some areas of Computational Intelligence that are strongly related to Fuzzy Sets The book is intended to cover most of the basic topics in Fuzzy Sets Theory and Fuzzy Logic from a mathematical point of view as well as most of the current applications of the presented theory and can be used as textbook at both undergraduate and graduate levels Written by a leading expert in the field