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高校应用数学学报
高校应用数学学报  2018, Vol. 33 Issue (2): 232-242    
    
对称蕴涵推理方法的鲁棒性分析
王龙, 裴道武
浙江理工大学理学院, 浙江杭州310018
The robustness analysis of the symmetric implicational methods
WANG Long, PEI Dao-wu
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
 全文: PDF(249 KB)  
摘要： 模糊推理方法已经被成功地应用于模糊控制器设计, 模糊专家系统集成等诸
多领域. 作为对传统模糊推理方法的改进, 我国学者提出了基于三I方法的对称蕴涵推
理方法. 对于模糊推理方法性质的研究, 尤其是对推理方法鲁棒性的研究是模糊逻辑
领域的一个重要的研究方向. 基于规范的Minkowski距离讨论对称蕴涵方法的鲁棒性,
给出了针对不同蕴涵算子的四个算法的鲁棒性结论, 为模糊推理方法的选择与应用提
供科学依据.
关键词： 模糊推理;  三I方法;  对称蕴涵方法;  鲁棒性    
Abstract: Fuzzy reasoning method has been successfully applied to fuzzy controller design, fuzzy
expert system integration and many other fields. As an improvement of the traditional fuzzy reasoning
method, Chinese scholars have proposed a symmetric inference method based on the triple I method.
The research on the nature, such as robustness of fuzzy reasoning method is an important direction
in the field of fuzzy logic. This paper discusses the robustness of the symmetric implication methods
based on the normalized Minkowski distance, the robustness of the four algorithms for several important
implication operators are given. Thus it provides a scientiˉc basis for the selection and applications of
fuzzy reasoning methods.
Key words: fuzzy reasoning    triple I method    symmetric implicational method    robustness
出版日期: 2018-07-26
CLC:  O142  
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王龙
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引用本文:

王龙, 裴道武. 对称蕴涵推理方法的鲁棒性分析[J]. 高校应用数学学报, 2018, 33(2): 232-242.

WANG Long, PEI Dao-wu. The robustness analysis of the symmetric implicational methods. Applied Mathematics A Journal of Chinese Universities, 2018, 33(2): 232-242.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2018/V33/I2/232

[1] 王媛媛, 裴道武. 两种推理方法QIP和FSI的鲁棒性结果及其比较[J]. 高校应用数学学报, 2019, 34(2): 218-.