摘要
提出一种广义模糊双曲正切模糊模型(GFHM),此模型可以看做是模糊双曲正切模型的扩展·采用广义变量的双曲正切函数和的形式表达了模糊化、模糊推理和反模糊化的运算过程·并采用Stone Weierstrass定理证明了此模型可以逼近定义在紧集上的任意连续实函数,具有全局逼近性,可以用于复杂系统的建模·
A generalized fuzzyhyperbolic model (GFHM) was proposed. The model is a generalization of fuzzy hyperbolic model. The process of fuzziness, fuzzy inference and defuzziness can be expressed in the sum of hyperbolic functions of generalization state variables. StoneWeierstrass theorem was used to prove that GFHM can approximate any real continuous functions on a compact sets. GFHM is a universal approximator, and can be used to establish the model for complex system.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第1期1-3,共3页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金资助项目(60274017)
教育部高等学校博士学科点专项科研基金资助项目(2001045023).
