Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation

YUAN Xue-hai; LI Hong-xing; YANG Xue

doi:10.3969/j.issn.0372-2112.2013.04.008

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Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation

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- Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation
- Acta Electronica Sinica Vol. 41, Issue 4, Pages: 674-680(2013)
- 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：
  
  National Natural Science Foundation of China (No.90818025, No.61074044)
- DOI：10.3969/j.issn.0372-2112.2013.04.008
  CLC： TP13
- Published：2013
- 稿件说明：
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YUAN Xue-hai, LI Hong-xing, YANG Xue. Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation[J]. Acta Electronica Sinica, 2013, 41(4): 674-680.
DOI：

YUAN Xue-hai, LI Hong-xing, YANG Xue. Fuzzy System and Fuzzy Inference Modeling Method Based on Fuzzy Transformation[J]. Acta Electronica Sinica, 2013, 41(4): 674-680. DOI： 10.3969/j.issn.0372-2112.2013.04.008.

摘要

首先针对双输入单输出模糊系统提出了一种模糊变换方法

指出这种模糊变换不仅与单输入和单输出模糊系统有密切的联系

而且利用这种模糊变换构造的模糊系统具有很好的泛逼近性.然后将这种模糊变换应用到模糊推理建模法中

导出了所研究的模糊系统的微分方程模型和状态空间模型

从而给出了一种新的模糊推理建模法.理论分析和仿真实验均表明:利用模糊变换构造的微分方程对所研究的模糊系统具有很好的泛逼近性.

Abstract

In this paper

we puts forward a fuzzy transformation method for double-input-single-output fuzzy system

and points out that not only this fuzzy transformation has intimate connections with single-input-single-output fuzzy systems

but also the fuzzy system constructed with this fuzzy transformation has good universal approximation.By applying the fuzzy transformation to the fuzzy reasoning modeling method

we establish a new fuzzy reasoning modeling method and derive the differential equation model and the state-space model for the system which is studied.The theoretical analysis and simulate experiment show that the differential equations based on fuzzy transformation have good universal approximation.

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