四川师范大学学报(自然科学版)2025,Vol.48Issue(2) :261-269.DOI:10.3969/j.issn.1001-8395.2025.02.011

广义模糊变换及其在模糊插值推理中的应用

Generalized Fuzzy Transforms and Its Application in Fuzzy Interpolation Reasoning

何红梅 潘小东 彭小玉
四川师范大学学报(自然科学版)2025,Vol.48Issue(2) :261-269.DOI:10.3969/j.issn.1001-8395.2025.02.011

广义模糊变换及其在模糊插值推理中的应用

Generalized Fuzzy Transforms and Its Application in Fuzzy Interpolation Reasoning

何红梅 1潘小东 1彭小玉1
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作者信息

  • 1. 西南交通大学数学学院,四川成都 611756
  • 折叠

摘要

基于广义的模糊划分,给出广义模糊变换的表示公式,并刻画广义模糊变换的本质特征及广义逆模糊变换的逼近性质.在此基础上,针对TSK型稀疏规则库,设计一种基于广义模糊变换的TSK模糊插值推理方法,并讨论该方法的基本性质,最后通过2个实验与已有的方法进行比较,进一步说明本方法的有效性.

Abstract

Based on generalized vague partition,a new expression formula for generalized fuzzy transformation is proposed,where the essential characteristics of generalized fuzzy transformation and some approximation properties of generalized inverse fuzzy transfor-mation are described.On this basis,a TSK fuzzy interpolation inference method based on generalized fuzzy transformation is designed for the TSK sparse rule library,and some basic properties of this method are discussed.Finally,the two experiments are compared with existing methods to further demonstrate the effectiveness of the proposed method.

关键词

模糊划分/广义模糊变换/TSK模糊系统/模糊插值推理

Key words

fuzzy partition/generalized fuzzy transforms/TSK fuzzy system/fuzzy interpolation inference

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出版年

2025
四川师范大学学报(自然科学版)
四川师范大学(中国 成都)

四川师范大学学报(自然科学版)

CSTPCD
影响因子:0.494
ISSN:1001-8395
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