Approximation of Polygonal Fuzzy Neural Networks for Chonquet Integrable Fuzzy Functions

First the Choquet integral norms in sub-additive fuzzy measure are introduced in this paper.Then the universal approximation of polygonal fuzzy neural networks for fuzzy valued functions in sense of Choquet integral norm is analyzed.We show that the polygonal fuzzy neural networks are pan-approximators for fuzzy-valued functions in sense of Choquet integral norms with respect to fuzzy measure when the fuzzy-valued functions are compatible.