Hunt, K.J., Haas, R. and Brown, M.
On the Functional Equivalence of Fuzzy Inference Systems and Spline-based Networks
Int. J. Neural Systems, 6, (2), .
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The conditions under which spline-based networks are functionally equivalent to the Takagi-Sugeno model of fuzzy inference are formally established. We consider a generalised form of basis function network whose basis functions are splines. The result admits a wide range of fuzzy membership functions which are commonly encountered in fuzzy systems design. We use the theoretical background of functional equivalence to develop a hybrid fuzzy-spline net for inverse dynamic modelling of a hydraulic driven robot manipulator.
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