DocumentCode :
1751508
Title :
Representing membership functions as elements in function space
Author :
Wong, Man Lung ; Yam, Yeung ; Baranyi, Peter
Author_Institution :
Dept. of Autom. & Computer-Aided Eng., Chinese Univ. of Hong Kong, Shatin, China
Volume :
3
fYear :
2001
fDate :
2001
Firstpage :
1922
Abstract :
This paper generalizes the geometric representation of membership functions comprising a finite number of characteristic points. An extended class of membership functions, satisfying certain monotonicity conditions, can now be expressed as elements in the space of square integrable functions. Specifically, bell-shaped membership functions, which were not possible before, can now be accommodated with this generalized representation. An example interpolation problem, treated using both the finite-dimensional approach and the generalized approach, is included for illustration
Keywords :
functions; geometry; interpolation; set theory; bell-shaped functions; characteristic points; finite-dimensional approach; function space; generalized geometric representation; interpolation; membership functions; monotonicity conditions; square integrable functions; Artificial intelligence; Automation; Bismuth; Fuzzy sets; Intelligent control; Interpolation; Laboratories; Lungs; Marine vehicles; Telematics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
ISSN :
0743-1619
Print_ISBN :
0-7803-6495-3
Type :
conf
DOI :
10.1109/ACC.2001.946020
Filename :
946020
Link To Document :
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