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Mathematical Problems in Engineering
Volume 2014, Article ID 873498, 7 pages
Research Article

Composite Gauss-Legendre Formulas for Solving Fuzzy Integration

1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
2Department of Public Courses, Gansu College of Traditional Chinese Medicine, Lanzhou 730000, China
3College of Chemistry and Chemical Engineering, Northwest Normal University, Lanzhou 730070, China

Received 9 December 2013; Revised 6 May 2014; Accepted 6 May 2014; Published 29 May 2014

Academic Editor: Valentina Emilia Balas

Copyright © 2014 Xiaobin Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two numerical integration rules based on composition of Gauss-Legendre formulas for solving integration of fuzzy numbers-valued functions are investigated in this paper. The methods' constructions are presented and the corresponding convergence theorems are shown in detail. Two numerical examples are given to illustrate the proposed algorithms finally.