title: A new fuzzy system based on rectangular pyramid.
abstract: A new fuzzy system is proposed in this paper. The novelty of the proposed system is mainly in the compound of the antecedents, which is based on the proposed rectangular pyramid membership function instead of t-norm. It is proved that the system is capable of approximating any continuous function of two variables to arbitrary degree on a compact domain. Moreover, this paper provides one sufficient condition of approximating function so that the new fuzzy system can approximate any continuous function of two variables with bounded partial derivatives. Finally, simulation examples are given to show how the proposed fuzzy system can be effectively used for function approximation.
authors: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.
authors: Mingzuo
authors: M
authors: Jiang
authors: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China ; Foundation Department, Dalian University of Technology, Panjin 124221, China.
authors: Xuehai
authors: X
authors: Yuan
authors: Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.
authors: Hongxing
authors: H
authors: Li
authors: Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116024, China.
authors: Jiaxia
authors: J
authors: Wang