Training multilayer perceptrons with the extended Kalman algorithm
Advances in neural information processing systems 1
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
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Adaptive fuzzy systems and control: design and stability analysis
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Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence
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On-line optimization of fuzzy systems
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Generating optimal adaptive fuzzy-neural models of dynamicalsystems with applications to control
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
A new method for constructing membership functions and fuzzy rulesfrom training examples
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Design of fuzzy controllers with adaptive rule insertion
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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IEEE Transactions on Fuzzy Systems
Reduction of fuzzy rule base via singular value decomposition
IEEE Transactions on Fuzzy Systems
Fuzzy logic for digital phase-locked loop filter design
IEEE Transactions on Fuzzy Systems
On the Kalman filtering method in neural network training and pruning
IEEE Transactions on Neural Networks
Design of fuzzy systems using neurofuzzy networks
IEEE Transactions on Neural Networks
Sum normal optimization of fuzzy membership functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Design of robust fuzzy neural network controller with reduced rule base
International Journal of Hybrid Intelligent Systems
Optimization of rational-powered membership functions using extended Kalman filter
Fuzzy Sets and Systems
Fuzzy model validation using the local statistical approach
Fuzzy Sets and Systems
Improving the performance of fair share scheduling algorithm using fuzzy logic
Proceedings of the International Conference on Advances in Computing, Communication and Control
HAIS '09 Proceedings of the 4th International Conference on Hybrid Artificial Intelligence Systems
H∞ estimation for fuzzy membership function optimization
International Journal of Approximate Reasoning
Fusing global and regional features for image classification
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
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Proceedings of the 12th annual conference on Genetic and evolutionary computation
Variational bayes for a mixed stochastic/deterministic fuzzy filter
IEEE Transactions on Fuzzy Systems
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Expert Systems with Applications: An International Journal
A new method for semi-automatic fuzzy training and its application in environmental modeling
Environmental Modelling & Software
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The generation of membership functions for fuzzy systems is a challenging problem. We show that for Mamdani-type fuzzy systems with correlation-product inference, centroid defuzzification, and triangular membership functions, optimizing the membership functions can be viewed as an identification problem for a nonlinear dynamic system. This identification problem can be solved with an extended Kalman filter. We describe the algorithm and compare it with gradient descent and with adaptive neuro-fuzzy inference system (ANFIS) based optimization of fuzzy membership functions. The methods discussed in this paper are illustrated on a fuzzy filter for motor winding current estimation, and are compared with Butterworth filtering. We demonstrate that the Kalman filter can be an effective tool for improving the performance of a fuzzy system.