title: On the functional equivalence of fuzzy inference systems and spline-based networks.
abstract: The conditions under which spline-based networks are functionally equivalent to the Takagi-Sugeno-model of fuzzy inference are formally established. We consider a generalized 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 modeling of a hydraulically driven robot manipulator.
mesh_terms: D017143:Fuzzy Logic; D016014:Linear Models; D016571:Neural Networks, Computer; D012371:Robotics