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。
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 perturbation of fuzzy sets,and discusses the relative perturbation produced by operations of fuzzy sets.Furthermore,we investigate the relative perturbation of fuzzy reasoning,and present some interesting properties.
出处
《模糊系统与数学》
CSCD
北大核心
2011年第5期1-6,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(108712291117130860863002)
关键词
模糊集
相对扰动
模糊关系
模糊推理
Fuzzy Sets
Relative Perturbation
Fuzzy Relations
Fuzzy Reasoning
