Analysis of response abilities of fuzzy systems based on non-singleton fuzzifier method

摘要：

The response properties of fuzzy systems generalized by non-singleton fuzzifier method are discussed. Firstly, the fuzzy system with non-singleton fuzzifier, CRI method and centroid defuzzifier is discussed. A sufficient and necessary condition of the corresponding fuzzy system possessing interpolation properties is deduced Furthermore, some sufficient conditions of fuzzy system possessing fitted properties are obtained. Then, fuzzy system with nonsingleton fuzzifier, triple I method and centroid defuzzifier is studied. It is proved that fuzzy system witb non-singleton fuzzifier, regular implication and triple I method is equivalent to Mamdani fuzzy system. And it also possesses interpolation properties. At last, a simulation result is provided to illustrate the validity of the conclusion.

关键词： fuzzy system non-singleton fuzzifier CRI method triple I method response ability universal approximators

作者: De-Gang Wang Xue-Hai Yuan Wen-Yan Song Hong-Xing Li

作者单位: School of Electronic and Information Engineering Dalian University of Technology Dalian,P.R.China Department of Quantitative Economics Dongbei University of Finance and Economics Dalian,P.R.China

会议类型: 国际会议

会议名称: The 2nd IEEE International Conference on Advanced Computer Control(第二届先进计算机控制国际会议 ICACC 2010)

会议地点: 沈阳

会议语种:英文

页码: 158-162

在线出版日期: 2010-03-27（万方平台首次上网日期，不代表论文的发表时间）