Fuzzification using space-filling curves
This paper introduces the Hilbert Space-Filling Curves SFC and outlines algorithms, which demonstrate the SFC efficient self-organizing features. We then propose a STC fuzzy model based on clustering the object space. The SFC fuzzy model is utilized to construct a fuzzy feedback controller. It is shown that the self-replicating feature of SFC can be utilized to construct successively improving control strategies based on symmetric decision trees. The proposed SFC technique achieves a dramatic reduction in the complexity of fuzzy controllers by reducing the multi-dimensional fuzzification problem to a one-dimensional space.
space-filling curves fuzzy control vector quantization fuzzy logic artificial intelligence nonlinear systems