Spline approximation of fuzzy functions

Authors:
József Gáti;Barnabás Bede
Affiliations:
John von Neumann Faculty of Informatics, Budapest Tech Polytechnical Institution, Budapest, Hungary;Department of Mechanical and System Engineering, Budapest Tech Polytechnical Institution, Budapest, Hungary
Venue:
MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
Year:
2005

Citing 10
Cited 0

A fuzzy lagrange interpolation theorem

Fuzzy Sets and Systems
Interpolation of fuzzy data

Fuzzy Sets and Systems
Modeling uncertain data with fuzzy B-splines

Fuzzy Sets and Systems
On henstock integral of fuzzy-number-valued functions (I)

Fuzzy Sets and Systems
Universal approximations of continuous fuzzy-valued functions by multi-layer fuzzy neural networks

Fuzzy Sets and Systems
Fuzzy systems with overlapping Gaussian concepts: approximation properties in Sobolev norms

Fuzzy Sets and Systems - Fuzzy models
Approximation theory of fuzzy systems based upon genuine many-valued implications: SISO cases

Fuzzy Sets and Systems - Fuzzy models
Constructing consistent fuzzy surfaces from fuzzy data

Fuzzy Sets and Systems - Theme: Modeling and learning
Analysis of approximation of continuous fuzzy functions by multivariate fuzzy polynomials

Fuzzy Sets and Systems - Mathematics
Fuzzy controllers with conditionally firing rules

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

The usefulness of fuzzy input fuzzy output functions and their interpolation/approximation by different operators in fuzzy control motivate their deeper theoretical study. We obtain some properties of fuzzy B-spline series such as variation and uncertainty diminishing property. We also propose spline approximation of fuzzy input fuzzy output functions.