东北大学学报(自然科学版) ›› 2003, Vol. 24 ›› Issue (1): 1-3.DOI: -

• 论著 •    下一篇

广义模糊双曲正切模型及其逼近性研究

全永兵;张化光   

  1. 东北大学信息科学与工程学院 ;东北大学信息科学与工程学院 辽宁沈阳 110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2003-01-15 发布日期:2013-06-23
  • 通讯作者: Quan, Y.-B.
  • 作者简介:-
  • 基金资助:
    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)·

Generalized fuzzy hyperbolic model: A universal approximator

Quan, Yong-Bing (1); Zhang, Hua-Guang (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-01-15 Published:2013-06-23
  • Contact: Quan, Y.-B.
  • About author:-
  • Supported by:
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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·

关键词: 广义变量, 模糊模型, 建模, 全局逼近器, 紧集, 非线性, 双曲正切函数

Abstract: A generalized fuzzy-hyperbolic 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. Stone-Weierstrass theorem was used to prove that GFHM can approximate any real continuous functions on a compact sets. GFHM is a universal approximates, and can be used to establish the model for complex system.

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