Fuzzy Systems and Their Approximation Capability Based on Parameter Singleton Fuzzifier Methods

YUAN Xue-hai; LI Hong-xing; SUN Kai-biao

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Fuzzy Systems and Their Approximation Capability Based on Parameter Singleton Fuzzifier Methods

更新时间：2025-07-16

- Fuzzy Systems and Their Approximation Capability Based on Parameter Singleton Fuzzifier Methods
- Acta Electronica Sinica Vol. 39, Issue 10, Pages: 2372-2377(2011)
- 作者机构：
  
  大连理工大学控制科学与工程学院,辽宁,大连,116024
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP13
- Published：2011
- 稿件说明：
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YUAN Xue-hai, LI Hong-xing, SUN Kai-biao. Fuzzy Systems and Their Approximation Capability Based on Parameter Singleton Fuzzifier Methods[J]. Acta Electronica Sinica, 2011, 39(10): 2372-2377.
DOI：

YUAN Xue-hai, LI Hong-xing, SUN Kai-biao. Fuzzy Systems and Their Approximation Capability Based on Parameter Singleton Fuzzifier Methods[J]. Acta Electronica Sinica, 2011, 39(10): 2372-2377. DOI：

摘要

本文研究了单输入-单输出模糊系统的构造和所构造的模糊系统的逼近能力.首先

在模糊系统的构造中

引入了对输入变量进行参数单点模糊化的方法.应用这种方法

当推理前件和后件都取为具有二相性的三角波时

对六类(41个)模糊蕴涵算子构造的模糊系统进行了研究.其次

对所构造的模糊系统的逼近能力做了研究

给出了它们的余项表达式和余项估计公式.

Abstract

The aim of this paper is to study the construction of fuzzy systems and their approximation capability.Firstly

a new fuzzifier method called parameter singleton fuzzifier is introduced.By the use of the new fuzzifier method

the construction of fuzzy systems based on six classes of fuzzy implication operators is studied when the antecedent part and consequent part of the fuzzy inference are chosen as triangular membership functions with two-phase.Secondly

the approximation capability of the fuzzy systems is discussed and their approximate error formulas and the error estimate formulas are built.

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