DocumentCode
1925157
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
fYear
2007
fDate
5-7 March 2007
Firstpage
277
Lastpage
281
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.;
fLanguage
English
Publisher
ieee
Conference_Titel
Computing: Theory and Applications, 2007. ICCTA '07. International Conference on
Conference_Location
Kolkata
Print_ISBN
0-7695-2770-1
Type
conf
DOI
10.1109/ICCTA.2007.86
Filename
4127381
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