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Author Liu, Puyin.

Title Fuzzy neural network theory and application / Puyin Liu, Hongxing Li.

Publication Info. River Edge, NJ : World Scientific, 2004.

Item Status

Description 1 online resource (xvii, 376 pages).
Physical Medium polychrome
Description text file
Series Series in machine perception and artificial intelligence ; v. 59
Series in machine perception and artificial intelligence ; v. 59.
Bibliography Includes bibliographical references and index.
Contents Foreword; Preface; Chapter I Introduction; S1.1 Classification of fuzzy neural networks; S1.2 Fuzzy neural networks with fuzzy operators; S1.3 Puzzified neural networks; 1.3.1 Learning algorithm for regular FNN's; 1.3.2 Universal approximation of regular FNN's; S1.4 Fuzzy systems and fuzzy inference networks; 1.4.1 Fuzzy systems; 1.4.2 Fuzzy inference networks; S1.5 Fuzzy techniques in image restoration; 1.5.1 Crisp nonlinear filters; 1.5.2 Fuzzy filters; S1.6 Notations and preliminaries; S1.7 Outline of the topics of the chapters; References.
Chapter II Fuzzy Neural Networks for Storing and ClassifyingS2.1 Two layer max-min fuzzy associative memory; 2.1.1 FAM with threshold; 2.1.2 Simulation example; S2.2 Fuzzy 6-learning algorithm; 2.2.1 FAM's based on 'V -- /\'; 2.2.2 FAM's based on 'V -- *'; S2.3 BP learning algorithm of FAM's; 2.3.1 Two analytic functions; 2.3.2 BP learning algorithm; S2.4 Fuzzy ART and fuzzy ARTMAP; 2.4.1 ART1 architecture; 2.4.2 Fuzzy ART; 2.4.3 Fuzzy ARTMAP; 2.4.4 Real examples; References; Chapter III Fuzzy Associative Memory-Feedback Networks; S3.1 Fuzzy Hopfield networks.
3.1.1 Attractor and attractive basin3.1.2 Learning algorithm based on fault-tolerance; 3.1.3 Simulation example; S3.2 Fuzzy Hopfield network with threshold; 3.2.1 Attractor and stability; 3.2.2 Analysis of fault-tolerance; S3.3 Stability and fault-tolerance of FBAM; 3.3.1 Stability analysis; 3.3.2 Fault-tolerance analysis; 3.3.3 A simulation example; S3.4 Learning algorithm for FBAM; 3.4.1 Learning algorithm based on fault-tolerance; 3.4.2 A simulation example; 3.4.3 Optimal fault-tolerance; 3.4.4 An example; S3.5 Connection network of FBAM; 3.5.1 Fuzzy row-restricted matrix.
3.5.2 The connection relations of attractors3.5.3 The elementary memory of (R L); 3.5.4 The transition laws of states; S3.6 Equilibrium analysis of fuzzy Hopfield network; 3.6.1 Connection relations of attractors; 3.6.2 Elementary memory of W; 3.6.3 The state transition laws; References; Chapter IV Regular Fuzzy Neural Networks; S4.1 Regular fuzzy neuron and regular FNN; 4.1.1 Regular fuzzy neuron; 4.1.2 Regular fuzzy neural network; 4.1.3 A counter example of universal approximation; 4.1.4 An example of universal approximation; S4.2 Learning algorithms; 4.2.1 Preliminaries.
4.2.2 Calculus of V -- /\ functions4.2.3 Error function; 4.2.4 Partial derivatives of error function; 4.2.5 Learning algorithm and simulation; S4.3 Conjugate gradient algorithm for fuzzy weights; 4.3.1 Fuzzy CG algorithm and convergence; 4.3.2 GA for finding optimal learning constant; 4.3.3 Simulation examples; S4.4 Universal approximation to fuzzy valued functions; 4.4.1 Fuzzy valued Bernstein polynomial; 4.4.2 Four-layer regular feedforward FNN; 4.4.3 An example; S4.5 Approximation analysis of regular FNN; 4.5.1 Closure fuzzy mapping; 4.5.2 Learning algorithm.
Summary This book systematically synthesizes research achievements in the field of fuzzy neural networks in recent years. It also provides a comprehensive presentation of the developments in fuzzy neural networks, with regard to theory as well as their application to system modeling and image restoration. Special emphasis is placed on the fundamental concepts and architecture analysis of fuzzy neural networks. The book is unique in treating all kinds of fuzzy neural networks and their learning algorithms and universal approximations, and employing simulation examples which are carefully designed to he.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Neural networks (Computer science)
Neural networks (Computer science)
Fuzzy systems.
Fuzzy systems.
Genre/Form Electronic books.
Added Author Li, Hong-Xing, 1953-
Other Form: Print version: Liu, Puyin. Fuzzy neural network theory and application. River Edge, NJ : World Scientific, 2004 9812387862 9789812387868 (DLC) 2007296333 (OCoLC)56430192
ISBN 9789812794215 (electronic book)
9812794212 (electronic book)
9789812387868
9812387862