00000cab a22000003a 4500 UP-99796217609517132 Buklod 20231007234353.0 m |o d | ta 101029s xx d | ||r ||||| || DENGII eng Dong Zhang Fuzzy nonlinear regression with fuzzified radial basis function network. pp. 742-760 A fuzzified radial basis function network (FRBFN) is a kind of fuzzy neural network that is obtained by direct fuzzification of the well known neural model RBFN. A FRBFN contains fuzzy weights and can handle fuzzy-in fuzzy-out data. This paper shows that a FRBFN can also be interpreted as a kind of fuzzy expert system. Hence it owns the advantages of simple structure and clear physical meaning. Some metrics for fuzzy numbers have been extended to the metrics for n-dimensional fuzzy vectors, which are applicable to computations in FRBFNs. The corresponding metric spaces for n-dimensional fuzzy vectors are proved to be complete. Further, FRBFNs are proved to be able to act as universal function approximators for any continuous fuzzy function defined on a compact set. This paper applies the proposed FRBFN to nonparametric fuzzy nonlinear regression problems for multidimensional LR-type fuzzy data. Fuzzy nonlinear regression with FRBFNs can be formulated as a nonlinear mathematical programming problem. Two training algorithms are proposed to quickly solve the two types of problems under different criteria and constraint conditions, namely, the two-stage and BP (Back-Propagation) training algorithms. Simulation studies are carried out to verify the feasibility and demonstrate the advantages of the proposed approaches. Fuzzified radial basis function network. Fuzzy expert system. Fuzzy neural network. Fuzzy nonlinear regression problems. Nonlinear mathematical programming problem. Universal function approximators. IEEE Transactions on fuzzy systems 13, 6 (2005). FO UPD DENG-II Article