Generating dynamic fuzzy models for prediction problems

In this paper we present a new method to generate interpretable fuzzy systems from training data. A fuzzy system is developed for nonlinear systems modeling and for system state forecasting. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overla...

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Autores:
Tipo de recurso:
Fecha de publicación:
2009
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9125
Acceso en línea:
https://hdl.handle.net/20.500.12585/9125
Palabra clave:
Dynamic systems
Fuzzy identification
Interpretability
Least squares method
Bench-mark problems
Dynamic systems
Fuzzy identification
Fuzzy literature
Fuzzy models
Input-output
Interpretability
Least square methods
Least squares method
NARMAX model
Prediction problem
System state
Time series forecasting
Training data
Triangular sets
Composite structures
Data processing
Dynamic programming
Fuzzy systems
Hybrid systems
Nonlinear systems
Time series
Fuzzy logic
Rights
restrictedAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary:In this paper we present a new method to generate interpretable fuzzy systems from training data. A fuzzy system is developed for nonlinear systems modeling and for system state forecasting. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overlapping that happens in other methods. Singleton consequents are employed and least square method is used to adjust the consequents. This approach is not a hybrid system and does not employ other techniques, like neural network or genetic algorithm. Two benchmark problems have been used to illustrate our approach: the first one is an input-output NARMAX model, which is one of the most popular models in the neural and fuzzy literature; the second one is the chaotic, nonperiodic and nonconvergence Mackey-Glass series, commonly used to evaluate a time series forecasting scheme. ©2009 IEEE.