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

Author

Wang, De-Gang ; Song, Wen-Yan ; Yuan, Xue-hai ; Li, Hong-xing

Author_Institution

Sch. of Electron. & Inf. Eng., Dalian Univ. of Technol., Dalian, China

Volume

3

fYear

2010

fDate

27-29 March 2010

Firstpage

158

Lastpage

162

Abstract

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 non-singleton fuzzifier, triple I method and centroid defuzzifier is studied. It is proved that fuzzy system with 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.

Keywords

fuzzy systems; CRI method; Mamdani fuzzy system; centroid defuzzifier; nonsingleton fuzzifier method; triple I method; Design methodology; Finance; Fuzzy control; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Information analysis; Interpolation; Mathematical model; CRI method; fuzzy system; non-singleton fuzzifier; response ability; triple I method; universal approximators;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Computer Control (ICACC), 2010 2nd International Conference on

Conference_Location

Shenyang

Print_ISBN

978-1-4244-5845-5

Type

conf

DOI

10.1109/ICACC.2010.5486763

Filename

5486763