[1]王士同,谢振平,李涵雄.模糊推理的统计敏感性分析[J].智能系统学报,2007,2(2):57-64.
　WANG Shi-tong,XIE Zhen-ping,LI Han-xiong.Statistical sensitivity analysis of fuzzy reasoning[J].CAAI Transactions on Intelligent Systems,2007,2(2):57-64.
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模糊推理的统计敏感性分析

《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷: 2 期数: 2007年第2期 页码: 57-64 栏目: 学术论文—人工智能基础 出版日期: 2007-04-25
Title:
Statistical sensitivity analysis of fuzzy reasoning
文章编号:
1673-4785(2007)02-0057-08
作者:
王士同1，谢振平1，李涵雄2
1 .江南大学信息工程学院，江苏无锡214122；
2.香港城市大学制造工程与工程管理系，香港
Author(s):
WANG Shi-tong1,XIE Zhen-ping1,LI Han-xiong2
1.College of Information Engineering, Southern Yangtze University, Wuxi 214122, China;
2.Department of MEEM, Faculty of Sci. & Eng., City University of Hong Ko ng, Hong Kong SAR, China
关键词:
模糊推理; 模糊规则; 链接模糊推理; 统计敏感性
Keywords:
fuzzy reasoning;  fuzzy rule;  syllogistic fuzzy reasoning;  statistical sensitivity
分类号:
TP18
文献标志码:
A
摘要:
在设计模糊逻辑系统时，如何实现其对输入噪声的鲁棒性是一个首要的问题，相应地如何很好地分析其对输入噪声的鲁棒性（也称敏感性分析）也就成了一个重要问题.使用统计的方法，对常见的模糊推理方法进行了敏感性分析.首先以均值与方差为基础，提出了2个模糊集的ε统计相等的概念；随后导出了常见的模糊推理方法的统计敏感性，这包括链接模糊推理与多规则模糊推理.与前人相关工作不同的是，更着重于模糊推理的方差分析，这一方法从数理统计的角度来看能更好地揭示模糊推理本质的敏感性.
Abstract:
Robustness of input noise is an important issue when designing a fuzzy logic system. In this paper, a statisticsbased method is introduced to analyz e the sensitivity of various popular fuzzy reasoning methods. Using the new conce pt of εstatisticalequalities, the statistical sensitivity between two f uzzy set s is analyzed based on their means and variances. Then the statistical sensitivi ties of various popular fuzzy reasoning methods are derived, including syllogist ic fuzzy reasoning and fuzzy reasoning with multiple rules. Different from other research work, the variance analysis of fuzzy reasoning is particularly emphasi zed to better reveal the sensitivity of fuzzy reasoning from a statistical persp ective. 
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备注/Memo

收稿日期：2006-10-08.
基金项目:南京大学计算机软件新技术国家重点实验室开放课题.
作者简介：王士同，男，1964年生，教授，博士生导师，主要研究方向为模糊人工智能、模式识别/图像处理和生物信息学等，先后十多次留学英国、日本和香港地区，在国内外重要杂志上发表数十篇学术论文.E-mail:wxwangst@yahoo.com.cn.
?谢振平，男，1979年生，博士研究生，主要研究方向为模式识别与图像处理. E-mail:xiezhenping@yahoo.com.cn.

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