Fuzzy self-organizing map: mechanism and convergence

This paper presents the learning mechanism of a model of fuzzy neural network, fuzzy self-organizing map (FSOM). The analysis on the convergence of learning mechanism will be elucidated. When the dimension of input data is one, we can prove that the convergence of the learning mechanism is almost sure. While the input data dimension is higher than one, the mechanism fulfils only the necessary condition for convergence. Simulation result will be given to illustrate the model.<<ETX>>