Title :
The Symmetric Trapezoidal Approximations of Fuzzy Numbers
Author :
Wang, Zhongxing ; Li, Jingcui
Author_Institution :
Sch. of Math. & Inf. Sci., Guangxi Univ. Nanning, Nanning, China
Abstract :
The nearest symmetric trapezoidal approximation is presented for simplifying calculations of fuzzy numbers, which possesses the following properties: the centroid point invariance, ambuguity invariance, width invariance, translation invariance, scale invariance. Numerical results also show that the presented method is valid.
Keywords :
approximation theory; fuzzy set theory; number theory; ambuguity invariance; centroid point invariance; fuzzy numbers; scale invariance; symmetric trapezoidal approximation; translation invariance; width invariance; Approximation methods; Calculus; Diamond-like carbon; Fuzzy sets; Indexes; Programming; approximation; centroid points; symmetric trapezoidal fuzzy numbers;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.347
