基于Zadeh蕴涵的重心法模糊系统  

The center-of-gravity fuzzy system based on Zadeh implication

作　　者：袁学海[1] 

机构地区：[1]大连理工大学控制科学与工程学院,辽宁大连116024

出　　处：《辽宁师范大学学报（自然科学版）》2012年第4期433-440,共8页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(90818025;61074044)

摘　　要：研究了基于Zadeh蕴涵的重心法模糊系统及其泛逼近性问题.对于Zadeh蕴涵来说,用通常的"单点模糊化"方法所构造的模糊系统不具有泛逼近性.针对这一问题,应用"参数单点模糊化"方法,重新构造了基于Zadeh蕴涵的重心法模糊系统.证明了该重心法模糊系统具有泛逼近性,并给出了这种模糊系统具有泛逼近性的充分条件.We have studied the center-of-gravity fuzzy system based on Zadeh implication and its universal approximation in this paper.Since the constructed fuzzy systems are not universal approximators when Zadeh implications is chosen and singleton fuzzifier is used,we have reconstructed the center-of-gravity fuzzy system based on Zadeh implication by use of the parameter singleton fuzzifier.We have proved that the center-of-gravity fuzzy system is an universal approximator and given a sufficient conditions for the fuzzy system as universal approximator.

关 键 词：模糊推理 模糊控制 模糊系统 泛逼近性 

分 类 号：O159[理学—数学]