Continuity of Defuzzification and Its Application to Fuzzy Control

The mathematical framework for studying of a fuzzy approximate reasoning is presented in this paper. Two important defuzzification methods (Area defuzzification and Height defuzzi- fication) besides the center of gravity method which is the best well known defuzzification method are described. The continuity of the defuzzification methods and its application to a fuzzy feedback control are discussed.

[1]  N. G. Parke,et al.  Ordinary Differential Equations. , 1958 .

[2]  Toshiro Terano,et al.  Stability Analysis of Fuzzy Control Systems Based on Phase Plane Analysis(Journal of Japan Society for Fuzzy Theory and Systems) , 1992 .

[3]  Takeshi Furuhashi,et al.  Stability Analysis of Fuzzy Control Systems Based on Symbolic Expression , 2002 .

[4]  電子情報通信学会 The Transactions of the Institute of Electronics, Information and Communication Engineers , 1987 .

[5]  Phil Diamond,et al.  Stability and periodicity in fuzzy differential equations , 2000, IEEE Trans. Fuzzy Syst..

[6]  電子情報通信学会 IEICE transactions on fundamentals of electronics, communications and computer sciences , 1992 .

[7]  J. Schwartz,et al.  Linear Operators. Part I: General Theory. , 1960 .

[8]  R. Schwarzenberger ORDINARY DIFFERENTIAL EQUATIONS , 1982 .

[9]  P. Hartman Ordinary Differential Equations , 1965 .

[10]  Toshiro Terano,et al.  Fuzzy Feedback Control Rules Based on Optimality , 1993 .

[11]  M. Takashi,et al.  Continuity of Nakamori fuzzy model and its application to optimal feedback control , 2005, 2005 IEEE International Conference on Systems, Man and Cybernetics.

[12]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[13]  Hisao Ishibuchi,et al.  Generating Fuzzy Classification Rules from Trained Neural Networks , 1997 .

[14]  Katsumi Wasaki,et al.  Optimization of fuzzy feedback control in L/sup /spl infin// space , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).