Title :
Methods of Evaluation and Extraction of Membership Functions--Review with a New Approach
Author :
Majumder, Dwijesh Dutta ; Bhattacharyya, Rupak ; Mukherjee, Supratim
Author_Institution :
ISI, Kolkata
Abstract :
In fuzzy mathematics, evaluation of membership function is still a problem, as the methods for this purpose do not hold well in all aspects. The purpose of this work is to assemble and to draw an overview of them. In addition, this work consists of a new approach, which may lead to a new way. The approach is from numerical point of view with the help of statistics. There are two methods, namely (i) modified Newton´s divided difference method and (ii) modified Lagrange´s interpolation method
Keywords :
Newton method; fuzzy set theory; interpolation; fuzzy mathematics; membership function evaluation; modified Lagrange interpolation method; modified Newton divided difference method; Assembly; Fuzzy control; Fuzzy sets; Interpolation; Intersymbol interference; Lagrangian functions; Mathematics; Prototypes; Statistics; Uncertainty; Determination of Membership Function; Fuzzy Membership Function; Modified Lagrange´s Interpolation Formula; Modified Newton´s divided difference Formula; Risk Factor.;
Conference_Titel :
Computing: Theory and Applications, 2007. ICCTA '07. International Conference on
Conference_Location :
Kolkata
Print_ISBN :
0-7695-2770-1
DOI :
10.1109/ICCTA.2007.86
