Title :
A Unified Iterative Scheme for Solving Fully Fuzzy Linear System
Author :
Gao, Jing ; Zhang, Qiang
Author_Institution :
Sch. of Manage. & Econ., Beijing Inst. of Technol., Beijing, China
Abstract :
In this paper, a unified iterative scheme to solve general fully fuzzy linear system (FFLS) Atildextilde = btilde in which all parameters are LR fuzzy numbers is discussed. By this iterative scheme, we present Gradient iterative algorithm and Least-squares iterative algorithm for solving non-square FFLS. Also, we test the iterative algorithm and show its effectiveness using a numerical example.
Keywords :
fuzzy set theory; gradient methods; least squares approximations; linear systems; LR fuzzy numbers; fully fuzzy linear system; gradient iterative algorithm; least-squares iterative algorithm; nonsquare FFLS; unified iterative scheme; Fuzzy sets; Fuzzy systems; Gaussian processes; Intelligent systems; Iterative algorithms; Iterative methods; Jacobian matrices; Linear systems; Mathematics; Technology management; Fully fuzzy linear system (FFLS); Gradient iterative algorithm; Least-squares iterative algorithm;
Conference_Titel :
Intelligent Systems, 2009. GCIS '09. WRI Global Congress on
Conference_Location :
Xiamen
Print_ISBN :
978-0-7695-3571-5
DOI :
10.1109/GCIS.2009.114
