Title :
Direct centroid computation of fuzzy numbers
Author :
Han, Shilian ; Sang, Xiuzhi ; Liu, Xinwang ; Qin, Yong
Author_Institution :
Sch. of Marketing & Logistics, Nanjing Univ. of Finance & Econ., Nanjing, China
Abstract :
In this paper, we give two direct centroid computation methods for fuzzy numbers: One is to use the membership function and the other is to use the alpha-cuts. Compared with the current centroid computation methods, the new methods are simple both in expression and computation. Weighted samples computation method are also proposed to improve the computational accuracy with numerical integration technique. Three examples illustrate the application of proposed methods.
Keywords :
fuzzy set theory; integration; alpha-cuts; direct centroid computation methods; fuzzy numbers; membership function; numerical integration technique; weighted samples computation method; Accuracy; Approximation methods; Educational institutions; Electronic mail; Piecewise linear approximation; Polynomials; Strips;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6251303
