On the applicability of the minimal configured hierarchical fuzzy control and its relevance to function approximation

Authors:
Taher M. Jelleli;Adel M. Alimi
Affiliations:
REGIM, Research Group on Intelligent Machines, University of Sfax, ENIS, BP W 1173, Sfax, Tunisia;REGIM, Research Group on Intelligent Machines, University of Sfax, ENIS, BP W 1173, Sfax, Tunisia
Venue:
Applied Soft Computing
Year:
2009

Citing 11
Cited 0

Sufficient conditions on general fuzzy systems as function approximators

Automatica (Journal of IFAC)
Universal approximation by hierarchical fuzzy systems

Fuzzy Sets and Systems
Function approximation with decomposed fuzzy systems

Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
A note on universal approximation by hierarchical fuzzy systems

Information Sciences: an International Journal - Special issue analytical theory of fuzzy control with applications
Universal approximation by hierarchical fuzzy system with constraints on the fuzzy rule

Fuzzy Sets and Systems - Fuzzy models
Size reduction by interpolation in fuzzy rule bases

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Necessary conditions on minimal system configuration for general MISO Mamdani fuzzy systems as universal approximators

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy systems with linear rule consequent

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Comparison of necessary conditions for typical Takagi-Sugeno and Mamdani fuzzy systems as universal approximators

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Approximation properties of fuzzy systems for smooth functions and their first-order derivative

IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Decomposition property of fuzzy systems and its applications

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents an approach to minimal hierarchical fuzzy control systems design. It maintains the idea of distributing behaviors inside a fuzzy structure, while the minimal hierarchical fuzzy control is an effective procedure for dealing with systems complexity and their control. The MCHFLS, minimal configured hierarchical fuzzy logic systems, is minimizing the fuzzy inferences parameters by adjusting essentially the variables associations and levels structures. This approach performs function approximation under conditions and it was tested on textile mill control.