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模糊集的相对扰动
引用本文:戴松松,裴道武.模糊集的相对扰动[J].模糊系统与数学,2011,25(5).
作者姓名:戴松松  裴道武
作者单位:浙江理工大学理学院,浙江杭州,310018
基金项目:国家自然科学基金资助项目(108712291117130860863002)
摘    要:在模糊推理的理论研究中,模糊推理方法的扰动性分析是一个重要的研究方向,即讨论模糊推理前件的变化对后件的影响。本文给出模糊集的相对扰动的概念,讨论由模糊集运算产生的相对扰动,以及模糊推理的相对扰动性,给出一些有趣的性质。

关 键 词:模糊集  相对扰动  模糊关系  模糊推理  

Relative Perturbation of Fuzzy Sets and Fuzzy Reasoning
DAI Song-song,PEI Dao-wu.Relative Perturbation of Fuzzy Sets and Fuzzy Reasoning[J].Fuzzy Systems and Mathematics,2011,25(5).
Authors:DAI Song-song  PEI Dao-wu
Institution:DAI Song-song,PEI Dao-wu(Faculty of Science,Zhejiang Sci-Tech University,Hangzhou 310018,China)
Abstract:Fuzzy reasoning has been widely used in some areas such as intelligent control and expert systems.In the theoretical research of fuzzy reasoning,the perturbation of fuzzy reasoning becomes one of the outstanding problems which discusses the influence on conclusions produced by changes of fuzzy inputs and fuzzy relations.In particular the concept of maximal perturbation of fuzzy sets has been proposed,and it is used to study the perturbation of fuzzy reasoning.This paper proposes the concept of relative pert...
Keywords:Fuzzy Sets  Relative Perturbation  Fuzzy Relations  Fuzzy Reasoning  
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