An application of Kolmogorov's superposition theorem to function reconstruction in higher dimensions

J Braun - 2009 - bonndoc.ulb.uni-bonn.de
In this thesis we present a Regularization Network approach to reconstruct a continuous
function ƒ:[0, 1] n→ R from its function values ƒ (xj) on discrete data points xj, j= 1,…, P. The …

Fuzzy system approaches to negotiation pricing decision support

X Fu, XJ Zeng, D Wang, D Xu… - Journal of Intelligent & …, 2015 - content.iospress.com
With the emergence of customisation services, business-to-business price negotiation plays
an increasingly important role in economic and management science. Negotiation pricing …

Some approximation properties of adaptive fuzzy systems with variable universe of discourse

Z Long, X Liang, L Yang - Information Sciences, 2010 - Elsevier
In the last 20years, while most research on fuzzy approximation theory has focused on
nonadaptive fuzzy systems, little work has been done on adaptive fuzzy systems. This paper …

Approximation properties of ELM-fuzzy systems for smooth functions and their derivatives

DG Wang, WY Song, HX Li - Neurocomputing, 2015 - Elsevier
In this paper, we utilize generalized Bernstein polynomials to construct fuzzy system.
Different from traditional Bernstein polynomials, partition of interval on input variable can be …

Cascade process modeling with mechanism-based hierarchical neural networks

Q Cong, W Yu, T Chai - International journal of neural systems, 2010 - World Scientific
Cascade process, such as wastewater treatment plant, includes many nonlinear sub-
systems and many variables. When the number of sub-systems is big, the input-output …

Intermediate variable normalization for gradient descent learning for hierarchical fuzzy system

D Wang, XJ Zeng, JA Keane - IEEE transactions on fuzzy …, 2009 - ieeexplore.ieee.org
When applying gradient descent learning methods to hierarchical fuzzy systems, there is
great difficulty in handling the intermediate variables introduced by the hierarchical …

Backward fuzzy rule interpolation with multiple missing values

S Jin, R Diao, C Quek, Q Shen - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
Fuzzy rule interpolation offers a useful means for reducing the complexity of fuzzy models,
more importantly, it makes inference possible in sparse rule-based systems. Backward fuzzy …

Norm approximation of mamdani fuzzy system to a class of integrable functions

G Wang, H Wang, Z Long - International Journal of Fuzzy Systems, 2021 - Springer
The core of fuzzy system is to bypass the establishment of a definite mathematical model to
carry out logical reasoning and intelligent calculation for fuzzy information; its main method …

System identification using hierarchical fuzzy neural networks with stable learning algorithm

W Yu, MA Moreno-Armendariz… - Journal of Intelligent & …, 2007 - content.iospress.com
Hierarchical fuzzy neural networks can use less rules to model nonlinear system with high
accuracy. But the normal training method for hierarchical fuzzy neural networks is very …

Hierarchical hybrid fuzzy-neural networks for approximation with mixed input variables

D Wang, XJ Zeng, JA Keane - Neurocomputing, 2007 - Elsevier
Real-world systems usually involve both continuous and discrete input variables. However,
in existing learning algorithms of both neural networks and fuzzy systems, these mixed …