Jiang Mingzuo, Yuan Xuehai, Li Hongxing, Wang Jiaxia
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.
Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China ; Foundation Department, Dalian University of Technology, Panjin 124221, China.
ScientificWorldJournal. 2015;2015:682989. doi: 10.1155/2015/682989. Epub 2015 Mar 19.
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.
本文提出了一种新的模糊系统。该系统的新颖之处主要在于其前件的复合，它基于所提出的矩形金字塔隶属函数而非三角模。证明了该系统能够在紧致域上以任意精度逼近任意二元连续函数。此外，本文给出了一个函数逼近的充分条件，使得新的模糊系统能够逼近任意具有有界偏导数的二元连续函数。最后，给出了仿真示例，以说明所提出的模糊系统如何能有效地用于函数逼近。
