Title :
Fuzzy transformation
Author :
Perfilieva, Irina ; Haldeeva, Elena
Author_Institution :
Inst. for Res. & Applic. of Fuzzy Modeling, Ostrava Univ., Czech Republic
Abstract :
The technique of approximate representation of continuous functions is presented. It is based on two transformations (direct and inverse) applied step by step. Both transformations use fuzzy representations of local areas by their membership functions in the same way as basic functions are used in the construction of generalized functions. Besides the satisfactory approximation, the presented technique can be successfully applied to the computing of the approximate derivatives of the initial function as well as to the computing of definite integrals
Keywords :
fuzzy logic; approximate derivatives; approximate representation; continuous functions; fuzzy approximating models; fuzzy approximation model; fuzzy logic; fuzzy representations; membership functions; Artificial intelligence; Concrete; Differential equations; Fuzzy logic; Fuzzy sets; Integral equations; Shape;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944365
