[1]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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Statistical sensitivity analysis of fuzzy reasoning

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 2 Number of periods: 2007 2 Page number: 57-64 Column: 学术论文—人工智能基础 Public date: 2007-04-25
Title:
Statistical sensitivity analysis of fuzzy reasoning
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
Keywords:
fuzzy reasoning;  fuzzy rule;  syllogistic fuzzy reasoning;  statistical sensitivity
CLC:
TP18
DOI:
-
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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